Investigating Properties of Isosceles Triangles by Martin Flashman

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2017-02-26 05:55

This example demonstrates the properties of isosceles triangles. Key mathematical concepts include triangle properties, angle relationships, and vectors. Using GeoGebra commands such as Point, Intersect, Circle, Segment, and Angle, dynamic exploration of isosceles triangle properties is facilitated. Suitable for middle school and above students or teachers.

GeoGebra Commands & Parameters

Point(q) → N
Intersect(xAxis, yAxis) → A_1
Circle(A_1, B_1) → c
Segment(A_1, C_2) → a
Segment(B_1, A_1) → b
Angle(B_1, A_1, C_2) → α
OrthogonalLine(C_2, yAxis) → d
Intersect(d, yAxis) → D
CircleArc(A_1, B_1, C_2) → e
Vector(C_2, D) → u
Vector(E, F) → v
Segment(D, A_1) → h
Segment(H, B_1) → i
Vector(t, C_2) → w
OrthogonalLine(C_2, b) → j
Intersect(j, i) → I
Vector(C_2, I) → z
Vector(I, J) → k
Vector(E, K) → l
Vector(M, C_2) → p
Vector(N, t) → r
Vector(N, E) → s
Sequence(w, w, -6.283185307179586, 6.283185307179586, 0.5235987755982988) → pis
Zip((-2.5, p), p, pis) → list1
Zip((-1.5, p), p, pis) → list2
Vector(O, M) → u_1
Vector(O, L) → v_1
Vector(L, F) → w_1
Segment(O, N) → a_1
Segment(E, L) → b_1
Segment(M, t) → c_1
Dilate(e, A, A_1) → e'
Dilate(c, A, A_1) → c'
Dilate(C_2, A, A_1) → C'
Dilate(I, A, A_1) → I'
Dilate(D, A, A_1) → D'
Vector(C', D') → m
Vector(C', I') → d_1
Segment(C', C_2) → f_1
Vector(F, Q) → e_1
Vector(K, P) → h_1
Dilate(H, A, A_1) → H'
Dilate(B_1, A, A_1) → R
Segment(H', R) → i'
Dilate(J, A, A_1) → J'
Vector(I', J') → i_1
CircleArc(A_1, C_2, B_1) → k_1
Dilate(k_1, A, A_1) → p_1
Vector(L, F) → n