图形变换识别示例

GeoGebra 命令及参数

1. LaTeX("\text{Determine whether the preimage was translated.}") → step1
2. LaTeX("\text{Determine whether the preimage was reflected.}") → step3
3. LaTeX("\text{vertical line that passes through the two points where the figures}") → step4_7
4. LaTeX("\text{\mathbf{Reflection} a transformation where a mirror image is created; also called a flip;}") → Wordstoknow1_1
5. LaTeX("\text{called the line of reflection.}") → Wordstoknow1_3
6. Segment(A, B) → a
7. Segment(B, C) → b
8. Segment(C, D) → c
9. Segment(D, A) → d
10. Segment(dummy1, dummy2) → e
11. Mirror(A, e) → E
12. Mirror(B, e) → F
13. Segment(E, F) → a'
14. Mirror(D, e) → H
15. Mirror(A, e) → pointA'_1
16. Segment(H, pointA'_1) → d'
17. Mirror(C, e) → G
18. Mirror(D, e) → pointC'_1
19. Segment(G, pointC'_1) → c'
20. Mirror(B, e) → pointB'_1
21. Mirror(C, e) → pointD'_1
22. Segment(pointB'_1, pointD'_1) → b'
23. LaTeX("\text{Based on the following figures,what transformation produced the dashed polygon on the right? }") → Question1
24. LaTeX("\text{Polygon \textcolor{#000099}{EFGH} is the image of polygon \textcolor{#000099}{ABCD}.}") → Question2
25. LaTeX("\text{A translation, or slide, requires that the figures share the same}") → step2_1
26. LaTeX("\text{orientation. The preimage and image do not have the same orientation;}") → step2_2
27. LaTeX("\text{therefore, the image is not a translation.}") → step2_3
28. LaTeX("\text{A reflection about a line will look like a “mirror image,” with the figures}") → step4_1
29. LaTeX("\text{ oriented in opposite directions. The figures will also be congruent \textemdash the}") → step4_2
30. LaTeX("\text{ same shape and size. Although the overlap of these two figures makes }") → step4_3
31. LaTeX("\text{it a little more confusing to determine, they appear to be congruent }") → step4_4
32. LaTeX("\text{and oriented in opposite directions (horizontally). Therefore, this is a }") → step4_5
33. LaTeX("\text{reflection. The dashed figure is a reflection of the preimage about a }") → step4_6
34. LaTeX("\text{ intersect (points on the line of reflection do not move).}") → step4_8
35. LaTeX("\text{an isometry in which a figure is moved along a line perpendicular to a given line}") → Wordstoknow1_2