Deltoid Area vs. Diagonals: How Scaling One Diagonal Changes Area (GeoGebra Quiz

GeoGebra Commands & Parameters

1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {2, 6, 7, 2, 10, 7, 8, 5, 5, 1}
2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
3. Textfield(input) → inputBox
4. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
5. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
6. Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-0.3900000000000001, 10.379999999999999), (0.6123557126030632, 10.379999999999999), (1.6147114252061265, 10.379999999999999), (2.61706713780919, 10.379999999999999), (3.619422850412253, 10.379999999999999), (4.621778563015317, 10.379999999999999), (5.624134275618379, 10.379999999999999), (6.626489988221444, 10.379999999999999), (7.628845700824506, 10.379999999999999), (8.631201413427569, 10.379999999999999), (9.633557126030633, 10.379999999999999), (10.635912838633695, 10.379999999999999), (11.63826855123676, 10.379999999999999), (12.640624263839822, 10.379999999999999), (13.642979976442886, 10.379999999999999), (14.645335689045949, 10.379999999999999), (15.647691401649013, 10.379999999999999), (16.650047114252075, 10.379999999999999)}, {(-0.3900000000000001, 9.377134670487106), (0.6123557126030632, 9.377134670487106), (1.6147114252061265, 9.377134670487106), (2.61706713780919, 9.377134670487106), (3.619422850412253, 9.377134670487106), (4.621778563015317, 9.377134670487106), (5.624134275618379, 9.377134670487106), (6.626489988221444, 9.377134670487106), (7.628845700824506, 9.377134670487106), (8.631201413427569, 9.377134670487106), (9.633557126030633, 9.377134670487106), (10.635912838633695, 9.377134670487106), (11.63826855123676, 9.377134670487106), (12.640624263839822, 9.377134670487106), (13.642979976442886, 9.377134670487106), (14.645335689045949, 9.377134670487106), (15.647691401649013, 9.377134670487106), (16.650047114252075, 9.377134670487106)}, {(-0.3900000000000001, 8.374269340974212), (0.6123557126030632, 8.374269340974212), (1.6147114252061265, 8.374269340974212), (2.61706713780919, 8.374269340974212), (3.619422850412253, 8.374269340974212), (4.621778563015317, 8.374269340974212), (5.624134275618379, 8.374269340974212), (6.626489988221444, 8.374269340974212), (7.628845700824506, 8.374269340974212), (8.631201413427569, 8.374269340974212), (9.633557126030633, 8.374269340974212), (10.635912838633695, 8.374269340974212), (11.63826855123676, 8.374269340974212), (12.640624263839822, 8.374269340974212), (13.642979976442886, 8.374269340974212), (14.645335689045949, 8.374269340974212), (15.647691401649013, 8.374269340974212), (16.650047114252075, 8.374269340974212)}, {(-0.3900000000000001, 7.371404011461318), (0.6123557126030632, 7.371404011461318), (1.6147114252061265, 7.371404011461318), (2.61706713780919, 7.371404011461318), (3.619422850412253, 7.371404011461318), (4.621778563015317, 7.371404011461318), (5.624134275618379, 7.371404011461318), (6.626489988221444, 7.371404011461318), (7.628845700824506, 7.371404011461318), (8.631201413427569, 7.371404011461318), (9.633557126030633, 7.371404011461318), (10.635912838633695, 7.371404011461318), (11.63826855123676, 7.371404011461318), (12.640624263839822, 7.371404011461318), (13.642979976442886, 7.371404011461318), (14.645335689045949, 7.371404011461318), (15.647691401649013, 7.371404011461318), (16.650047114252075, 7.371404011461318)}, {(-0.3900000000000001, 6.368538681948425), (0.6123557126030632, 6.368538681948425), (1.6147114252061265, 6.368538681948425), (2.61706713780919, 6.368538681948425), (3.619422850412253, 6.368538681948425), (4.621778563015317, 6.368538681948425), (5.624134275618379, 6.368538681948425), (6.626489988221444, 6.368538681948425), (7.628845700824506, 6.368538681948425), (8.631201413427569, 6.368538681948425), (9.633557126030633, 6.368538681948425), (10.635912838633695, 6.368538681948425), (11.63826855123676, 6.368538681948425), (12.640624263839822, 6.368538681948425), (13.642979976442886, 6.368538681948425), (14.645335689045949, 6.368538681948425), (15.647691401649013, 6.368538681948425), (16.650047114252075, 6.368538681948425)}, {(-0.3900000000000001, 5.365673352435532), (0.6123557126030632, 5.365673352435532), (1.6147114252061265, 5.365673352435532), (2.61706713780919, 5.365673352435532), (3.619422850412253, 5.365673352435532), (4.621778563015317, 5.365673352435532), (5.624134275618379, 5.365673352435532), (6.626489988221444, 5.365673352435532), (7.628845700824506, 5.365673352435532), (8.631201413427569, 5.365673352435532), (9.633557126030633, 5.365673352435532), (10.635912838633695, 5.365673352435532), (11.63826855123676, 5.365673352435532), (12.640624263839822, 5.365673352435532), (13.642979976442886, 5.365673352435532), (14.645335689045949, 5.365673352435532), (15.647691401649013, 5.365673352435532), (16.650047114252075, 5.365673352435532)}, {(-0.3900000000000001, 4.362808022922637), (0.6123557126030632, 4.362808022922637), (1.6147114252061265, 4.362808022922637), (2.61706713780919, 4.362808022922637), (3.619422850412253, 4.362808022922637), (4.621778563015317, 4.362808022922637), (5.624134275618379, 4.362808022922637), (6.626489988221444, 4.362808022922637), (7.628845700824506, 4.362808022922637), (8.631201413427569, 4.362808022922637), (9.633557126030633, 4.362808022922637), (10.635912838633695, 4.362808022922637), (11.63826855123676, 4.362808022922637), (12.640624263839822, 4.362808022922637), (13.642979976442886, 4.362808022922637), (14.645335689045949, 4.362808022922637), (15.647691401649013, 4.362808022922637), (16.650047114252075, 4.362808022922637)}, {(-0.3900000000000001, 3.359942693409744), (0.6123557126030632, 3.359942693409744), (1.6147114252061265, 3.359942693409744), (2.61706713780919, 3.359942693409744), (3.619422850412253, 3.359942693409744), (4.621778563015317, 3.359942693409744), (5.624134275618379, 3.359942693409744), (6.626489988221444, 3.359942693409744), (7.628845700824506, 3.359942693409744), (8.631201413427569, 3.359942693409744), (9.633557126030633, 3.359942693409744), (10.635912838633695, 3.359942693409744), (11.63826855123676, 3.359942693409744), (12.640624263839822, 3.359942693409744), (13.642979976442886, 3.359942693409744), (14.645335689045949, 3.359942693409744), (15.647691401649013, 3.359942693409744), (16.650047114252075, 3.359942693409744)}, {(-0.3900000000000001, 2.3570773638968507), (0.6123557126030632, 2.3570773638968507), (1.6147114252061265, 2.3570773638968507), (2.61706713780919, 2.3570773638968507), (3.619422850412253, 2.3570773638968507), (4.621778563015317, 2.3570773638968507), (5.624134275618379, 2.3570773638968507), (6.626489988221444, 2.3570773638968507), (7.628845700824506, 2.3570773638968507), (8.631201413427569, 2.3570773638968507), (9.633557126030633, 2.3570773638968507), (10.635912838633695, 2.3570773638968507), (11.63826855123676, 2.3570773638968507), (12.640624263839822, 2.3570773638968507), (13.642979976442886, 2.3570773638968507), (14.645335689045949, 2.3570773638968507), (15.647691401649013, 2.3570773638968507), (16.650047114252075, 2.3570773638968507)}, {(-0.3900000000000001, 1.3542120343839574), (0.6123557126030632, 1.3542120343839574), (1.6147114252061265, 1.3542120343839574), (2.61706713780919, 1.3542120343839574), (3.619422850412253, 1.3542120343839574), (4.621778563015317, 1.3542120343839574), (5.624134275618379, 1.3542120343839574), (6.626489988221444, 1.3542120343839574), (7.628845700824506, 1.3542120343839574), (8.631201413427569, 1.3542120343839574), (9.633557126030633, 1.3542120343839574), (10.635912838633695, 1.3542120343839574), (11.63826855123676, 1.3542120343839574), (12.640624263839822, 1.3542120343839574), (13.642979976442886, 1.3542120343839574), (14.645335689045949, 1.3542120343839574), (15.647691401649013, 1.3542120343839574), (16.650047114252075, 1.3542120343839574)}, {(-0.3900000000000001, 0.3513467048710641), (0.6123557126030632, 0.3513467048710641), (1.6147114252061265, 0.3513467048710641), (2.61706713780919, 0.3513467048710641), (3.619422850412253, 0.3513467048710641), (4.621778563015317, 0.3513467048710641), (5.624134275618379, 0.3513467048710641), (6.626489988221444, 0.3513467048710641), (7.628845700824506, 0.3513467048710641), (8.631201413427569, 0.3513467048710641), (9.633557126030633, 0.3513467048710641), (10.635912838633695, 0.3513467048710641), (11.63826855123676, 0.3513467048710641), (12.640624263839822, 0.3513467048710641), (13.642979976442886, 0.3513467048710641), (14.645335689045949, 0.3513467048710641), (15.647691401649013, 0.3513467048710641), (16.650047114252075, 0.3513467048710641)}, {(-0.3900000000000001, -0.6515186246418292), (0.6123557126030632, -0.6515186246418292), (1.6147114252061265, -0.6515186246418292), (2.61706713780919, -0.6515186246418292), (3.619422850412253, -0.6515186246418292), (4.621778563015317, -0.6515186246418292), (5.624134275618379, -0.6515186246418292), (6.626489988221444, -0.6515186246418292), (7.628845700824506, -0.6515186246418292), (8.631201413427569, -0.6515186246418292), (9.633557126030633, -0.6515186246418292), (10.635912838633695, -0.6515186246418292), (11.63826855123676, -0.6515186246418292), (12.640624263839822, -0.6515186246418292), (13.642979976442886, -0.6515186246418292), (14.645335689045949, -0.6515186246418292), (15.647691401649013, -0.6515186246418292), (16.650047114252075, -0.6515186246418292)}, {(-0.3900000000000001, -1.6543839541547243), (0.6123557126030632, -1.6543839541547243), (1.6147114252061265, -1.6543839541547243), (2.61706713780919, -1.6543839541547243), (3.619422850412253, -1.6543839541547243), (4.621778563015317, -1.6543839541547243), (5.624134275618379, -1.6543839541547243), (6.626489988221444, -1.6543839541547243), (7.628845700824506, -1.6543839541547243), (8.631201413427569, -1.6543839541547243), (9.633557126030633, -1.6543839541547243), (10.635912838633695, -1.6543839541547243), (11.63826855123676, -1.6543839541547243), (12.640624263839822, -1.6543839541547243), (13.642979976442886, -1.6543839541547243), (14.645335689045949, -1.6543839541547243), (15.647691401649013, -1.6543839541547243), (16.650047114252075, -1.6543839541547243)}, {(-0.3900000000000001, -2.6572492836676176), (0.6123557126030632, -2.6572492836676176), (1.6147114252061265, -2.6572492836676176), (2.61706713780919, -2.6572492836676176), (3.619422850412253, -2.6572492836676176), (4.621778563015317, -2.6572492836676176), (5.624134275618379, -2.6572492836676176), (6.626489988221444, -2.6572492836676176), (7.628845700824506, -2.6572492836676176), (8.631201413427569, -2.6572492836676176), (9.633557126030633, -2.6572492836676176), (10.635912838633695, -2.6572492836676176), (11.63826855123676, -2.6572492836676176), (12.640624263839822, -2.6572492836676176), (13.642979976442886, -2.6572492836676176), (14.645335689045949, -2.6572492836676176), (15.647691401649013, -2.6572492836676176), (16.650047114252075, -2.6572492836676176)}, {(-0.3900000000000001, -3.660114613180511), (0.6123557126030632, -3.660114613180511), (1.6147114252061265, -3.660114613180511), (2.61706713780919, -3.660114613180511), (3.619422850412253, -3.660114613180511), (4.621778563015317, -3.660114613180511), (5.624134275618379, -3.660114613180511), (6.626489988221444, -3.660114613180511), (7.628845700824506, -3.660114613180511), (8.631201413427569, -3.660114613180511), (9.633557126030633, -3.660114613180511), (10.635912838633695, -3.660114613180511), (11.63826855123676, -3.660114613180511), (12.640624263839822, -3.660114613180511), (13.642979976442886, -3.660114613180511), (14.645335689045949, -3.660114613180511), (15.647691401649013, -3.660114613180511), (16.650047114252075, -3.660114613180511)}}
7. SelectedIndex(dropdown121) → index121
8. SelectedIndex(dropdown151) → index151
9. If(step ≟ 1, PosImgFuchsSchild1 + (2.25, 6), PosImgFuchs2 + (-1.5, 3)) → PosSB
10. PolyLine(PosSB, Corner[txt011, 2] + (-0.25, 0), Corner[txt011, 1] + (-0.1, 0), Corner[txt011, 4] + (-0.1, 0.1), Corner[txt011, 3] + (0.1, 0.1), Corner[txt011, 2] + (0.1, 0.35), PosSB) → sb01
11. PolyLine(PosSB, Corner[txt021, 1] + (0.25, -0.1), Corner[txt021, 2] + (0.1, -0.1), Corner[txt021, 3] + (0.1, 0.1), Corner[txt021, 4] + (-0.1, 0.1), Corner[txt021, 1] + (-0.1, 0.25), PosSB) → sb02
12. PolyLine(PosSB, Corner[txt031, 1] + (-0.1, 0.25), Corner[txt031, 1] + (-0.1, -0.1), Corner[txt031, 2] + (0.1, -0.1), Corner[txt031, 3] + (0.1, 0.1), Corner[txt031, 4] + (-0.1, 0.1), Corner[txt031, 1] + (-0.1, 0.75), PosSB) → sb03
13. PolyLine(PosSB, Corner[txt071, 1] + (-0.1, 0.25), Corner[txt071, 1] + (-0.1, -0.1), Corner[txt071, 2] + (0.1, -0.1), Corner[txt071, 3] + (0.1, 0.1), Corner[txt071, 4] + (-0.1, 0.1), Corner[txt071, 1] + (-0.1, 0.75), PosSB) → sb07
14. PolyLine(PosSB, Corner[txt081, 1] + (-0.1, 0.25), Corner[txt081, 1] + (-0.1, -0.1), Corner[txt081, 2] + (0.1, -0.1), Corner[txt081, 3] + (0.1, 0.1), Corner[txt081, 4] + (-0.1, 0.1), Corner[txt081, 1] + (-0.1, 0.75), PosSB) → sb08
15. PolyLine(PosSB, Corner[txt121, 1] + (-0.1, 1.25), Corner[txt121, 1] + (-0.1, -0.1), Corner[txt121, 2] + (0.1, -0.1), Corner[txt121, 3] + (0.1, 0.1), Corner[txt121, 4] + (-0.1, 0.1), Corner[txt121, 1] + (-0.1, 1.75), PosSB) → sb12
16. PolyLine(PosSB, Corner[txt151, 1] + (-0.1, 1.25), Corner[txt151, 1] + (-0.1, -0.1), Corner[txt151, 2] + (0.1, -0.1), Corner[txt151, 3] + (0.1, 0.1), Corner[txt151, 4] + (-0.1, 0.1), Corner[txt151, 1] + (-0.1, 1.75), PosSB) → sb15
17. If(sliderE ≟ -1, 0.5, sliderE ≟ 0, 1, 2) → facE
18. If(sliderF ≟ -1, 0.5, sliderF ≟ 0, 1, 2) → facF
19. Angle(PointsDeltoid1(4), Midpoint[PointsDeltoid1(2), PointsDeltoid1(4)], PointsDeltoid1(1)) → rightAngle1
20. Angle(PointsDeltoid2(4), Midpoint[PointsDeltoid2(2), PointsDeltoid2(4)], PointsDeltoid2(1)) → rightAngle2
21. Text(("\vphantom{g}" * If[step ≟ 2, If[facE ≟ 0.5, "\textsf{\bold{\textcolor{#DB6114}{e wird halbiert}}}", facE ≟ 1, "\textsf{\bold{\textcolor{#DB6114}{e bleibt gleich}}}", "\textsf{\bold{\textcolor{#DB6114}{e wird verdoppelt}}}"], If[facF ≟ 0.5, "\textsf{\bold{\textcolor{#1565C0}{f wird halbiert}}}", facF ≟ 1, "\textsf{\bold{\textcolor{#1565C0}{f bleibt gleich}}}", "\textsf{\bold{\textcolor{#1565C0}{f wird verdoppelt}}}"]]), PosSlider + (1.8, 0.15), false, true, 0, 1) → txtSlider
22. Text("\textsf{\bold{A} = \frac{e \cdot f}{2}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula041
23. SelectedIndex(dropdown041) → index041
24. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula051
25. Text("\textsf{\textcolor{#6557d2}{\bold{A}} „versteckt” sich in der Formel für \bold{A'}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt051
26. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula061
27. SelectedIndex(dropdown091) → index091
28. Text("\textsf{\bold{A} = \frac{e \cdot f}{2}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula091
29. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula101
30. Text("\textsf{\textcolor{#6557d2}{\bold{A}} „versteckt” sich in der Formel für \bold{A'}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt101
31. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula111
32. Text("\textsf{\bold{A} = \frac{e \cdot f}{2}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula121
33. SelectedIndex(dropdown122) → index122
34. Text("\textsf{\bold{A'} = \frac{\phantom{ } \cdot e \cdot \phantom{ } \cdot f}{2}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula122
35. Text("\textsf{\textcolor{#6557d2}{\bold{A}} „versteckt” sich in der Formel für \bold{A'}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt131
36. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula131
37. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula141
38. SelectedIndex(dropdown141) → index141
39. Text("\textsf{Das Produkt der beiden Faktoren ergibt: 2 \cdot 2 = \phantom{ }}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt141
40. Text("\textsf{\bold{A} = \frac{e \cdot f}{2}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula151
41. SelectedIndex(dropdown152) → index152
42. Text("\textsf{\bold{A'} = \frac{\phantom{ } \cdot e \cdot \phantom{ } \cdot f}{2}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula152
43. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula161
44. Text("\textsf{\bold{A} = \textcolor{#6557d2}{\bold{\frac{e \cdot f}{2}}}}", PosC1 + (0, -0.1), false, true, 0, -1) → Formula171
45. Text("\textsf{\textcolor{#6557d2}{\bold{A}} „versteckt” sich in der Formel für \bold{A'}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt161
46. SelectedIndex(dropdown171) → index171
47. Text("\textsf{Das Produkt der beiden Faktoren ergibt: \frac{1}{2} \cdot 2 = \phantom{ }}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt171
48. SelectedIndex(dropdown061) → index061
49. SelectedIndex(dropdown111) → index111
50. Textfield(input121) → InputBox121
51. Textfield(input122) → InputBox122
52. Textfield(input141) → InputBox141
53. Textfield(input151) → InputBox151
54. Textfield(input152) → InputBox152
55. Text("\textsf{\textsf{Da die Länge der Diagonale e \bold{verdoppelt} wurde, gilt: \textcolor{#db6114}{\bold{e'}} = \phantom{ }}}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt041
56. Text("\textsf{Anhand der Formel erkennst du: \bold{A'} ist \phantom{ } so groß wie \bold{A}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt061
57. Text("\textsf{\textsf{Da die Länge der Diagonale f \bold{halbiert} wurde, gilt: \textcolor{#1565C0}{\bold{f'}} = \phantom{ }}}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt091
58. Text("\textsf{Anhand der Formel erkennst du: \bold{A'} ist \phantom{ } so groß wie \bold{A}.}", Midpoint[PosC1, PosC2] + (0, -2), false, true, 0, 0) → txt111
59. Text("\textsf{Es gilt also: \bold{A'} ist \phantom{ } so groß wie \bold{A}.}", Midpoint[PosC1, PosC2] + (0, -2.75), false, true, 0, 0) → txt142
60. Textfield(input171) → InputBox171
61. Text("\textsf{Es gilt also: \bold{A'} ist \phantom{ } groß wie \bold{A}.}", Midpoint[PosC1, PosC2] + (0, -2.75), false, true, 0, 0) → txt172
62. If(step ≟ 2, facE ≟ 2, step ≟ 11, correctdd111, step ≟ 12, correctdd121 ∧ correctdd122 ∧ correct121 ∧ correct122, step ≟ 14, correctdd141 ∧ correct141, step ≟ 15, correctdd151 ∧ correctdd152 ∧ correct151 ∧ correct152, true, step ≟ 4, correctdd041, step ≟ 6, correctdd061, step ≟ 7, facF ≟ 0.5, step ≟ 9, correctdd091) → clickableBtnNext
63. If(step ≟ 12 ∨ step ≟ 15, PosC2 + (-1.25, -1.75), PosC2 + (1.5, -1.65)) → PosBtnShowSolution
64. Text(txtCapMaße1, PosC1 + (0, 0), false, true, 0, -1) → txtMaße1
65. Text(txtCapMaße2, PosC2 + (0, 0), false, true, 0, -1) → txtMaße2
66. Text((("\textsf{\bold{A'} = \textcolor{6557d2}{\frac{\textcolor{black}{2 \cdot }\bold{e} \textcolor{black}{\cdot 2}\bold{ \cdot f}}{\bold{2}}}" * If[correct141, " = \textcolor{black}{4 \cdot }\textcolor{#6557d2}{\bold{A}}", "\phantom{ = \textcolor{black}{4 \cdot }\textcolor{#6557d2}{\bold{A}}}"]) * "}"), PosC2 + (0, -0.1), false, true, 0, -1) → Formula142
67. Text((("\textsf{\bold{A'} = \textcolor{6557d2}{\frac{\textcolor{black}{\frac{1}{2} \cdot }\bold{e} \textcolor{black}{\cdot 2}\bold{ \cdot f}}{\bold{2}}}" * If[correct171, " = \textcolor{black}{1} \cdot \textcolor{#6557d2}{\bold{A}}", "\phantom{ = \textcolor{black}{1} \cdot \textcolor{#6557d2}{\bold{A}}}"]) * "}"), PosC2 + (0, -0.1), false, true, 0, -1) → Formula172
68. Text("\textsf{\bold{A'} = \textcolor{6557d2}{\frac{\textcolor{black}{\frac{1}{2} \cdot }\bold{e} \textcolor{black}{\cdot 2}\bold{ \cdot f}}{\bold{2}}}\phantom{ = \textcolor{black}{1} \cdot \textcolor{#6557d2}{\bold{A}}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula162
69. Text("\textsf{\bold{A'} = \frac{\textcolor{black}{e'} \cdot f}{2} = \textcolor{#6557d2}\frac{\textcolor{black}{2 \cdot }\bold{e \cdot f}}{\bold{2}} = \textcolor{black}{2 \cdot }\textcolor{#6557d2}{\bold{A}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula062
70. Text((("\textsf{\bold{A'} = \frac{\bold{\textcolor{#DB6114}{e'}} \cdot f}{2}" * If[correctdd041, " = \frac{\bold{\textcolor{#DB6114}{2 \cdot e}} \cdot f}{2}", "\phantom{ = \frac{\bold{\textcolor{#DB6114}{2 \cdot e}} \cdot f}{2}}"]) * "\phantom{ = \textcolor{black}{2 \cdot }\textcolor{#6557d2}{\bold{A}}}}"), PosC2 + (0, -0.1), false, true, 0, -1) → Formula042
71. Text("\textsf{\bold{A'} = \frac{\textcolor{black}{e'} \cdot f}{2} = \textcolor{#6557d2}\frac{\textcolor{black}{2 \cdot }\bold{e \cdot f}}{\bold{2}}\phantom{ = \textcolor{black}{2 \cdot }\textcolor{#6557d2}{\bold{A}}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula052
72. Text((("\textsf{\bold{A'} = \frac{e \cdot \bold{\textcolor{#1565C0}{f'}}}{2}" * If[correctdd091, " = \frac{e \cdot \bold{\textcolor{#1565C0}{\frac{1}{2} \cdot f}}}{2}", "\phantom{ = \frac{e \cdot \bold{\textcolor{#1565C0}{\frac{1}{2} \cdot f}}}{2}}"]) * "\phantom{ = \textcolor{black}{\frac{1}{2}} \cdot \textcolor{#6557d2}{\bold{A}}}}"), PosC2 + (0, -0.1), false, true, 0, -1) → Formula092
73. Text("\textsf{\bold{A'} = \frac{e \cdot \textcolor{black}{f'}}{2} = \textcolor{6557d2}{\frac{\bold{e} \textcolor{black}{\cdot \frac{1}{2}}\bold{ \cdot f}}{\bold{2}}}\phantom{ = \textcolor{black}{\frac{1}{2}} \cdot \textcolor{#6557d2}{\bold{A}}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula102
74. Text("\textsf{\bold{A'} = \frac{e \cdot \textcolor{black}{f'}}{2} = \textcolor{6557d2}{\frac{\bold{e} \cdot \textcolor{black}{\frac{1}{2}}\bold{ \cdot f}}{\bold{2}}} = \textcolor{black}{\frac{1}{2}} \cdot \textcolor{#6557d2}{\bold{A}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula112
75. Text("\textsf{\bold{A'} = \textcolor{6557d2}{\frac{\textcolor{black}{2 \cdot }\bold{e} \textcolor{black}{\cdot 2}\bold{ \cdot f}}{\bold{2}}}\phantom{ = \textcolor{black}{4 \cdot }\textcolor{#6557d2}{\bold{A}}}}", PosC2 + (0, -0.1), false, true, 0, -1) → Formula132