Congruence Tests

GeoGebra Commands & Parameters

1. Ray(P, P_x) → b
2. Point(b) → P_1
3. Segment(P, P_1) → e
4. Point(Circle[Y, 2 * e]) → X
5. Circle(Y, X) → r
6. Point(r) → K
7. Point(r) → J
8. CircleArc(Y, K, J) → d_1
9. Ray(Q, Q_x) → c
10. Point(c) → Q_1
11. Segment(Q, Q_1) → f
12. Ray(R, R_x) → d
13. Point(d) → R_1
14. Segment(R, R_1) → g
15. Point(Circle[Z, 2 * g]) → X'
16. Circle(Z, X') → s
17. Point(s) → M
18. Point(s) → L
19. CircleArc(Z, M, L) → e_1
20. Point(Circle[C, 2 * g]) → A'
21. Circle(C, A') → q
22. Point(q) → I
23. Point(q) → H
24. CircleArc(C, H, I) → c_1
25. Point(Circle[B, 2 * e]) → A
26. Circle(B, A) → p
27. Point(p) → G
28. Point(p) → F
29. CircleArc(B, F, G) → t
30. Semicircle(V, O) → k_1
31. Segment(B, A) → a
32. Segment(B, C) → h
33. Segment(C, A') → i
34. Segment(Y, X) → j
35. Segment(Y, Z) → k
36. Segment(Z, X') → l
37. Segment(N, O) → n
38. Point(k_1) → S
39. Angle(O, N, S) → α
40. Segment(S, N) → a_1
41. Rotate(C, α, B) → C'
42. Angle(C, B, C') → β
43. Ray(B, C') → b_1
44. Intersect(p, b_1, 1) → T
45. Segment(T, B) → g_1
46. Rotate(Z, α, Y) → Z'
47. Angle(Z, Y, Z') → γ
48. Ray(Y, Z') → h_1
49. Intersect(r, h_1, 1) → U
50. Segment(U, Y) → i_1
51. Segment(N, V) → j_1
52. Intersect(c_1, t, 1) → D
53. Intersect(d_1, e_1, 1) → E
54. Segment(T, C) → f_1
55. Segment(U, Z) → l_1
56. Semicircle(B_1, A_1) → p_1
57. Segment(B_1, A_1) → m_1
58. Point(p_1) → C_1
59. Segment(W, C_1) → n_1
60. Angle(C_1, W, B_1) → δ
61. Rotate(B, -δ, C) → B'
62. Angle(B', C, B) → ε
63. Rotate(Y, -δ, Z) → Y'
64. Angle(Y', Z, Y) → ζ
65. Ray(C, B') → q_1
66. Ray(Z, Y') → r_1
67. Point(b_1) → D_1
68. Point(q_1) → E_1
69. Point(h_1) → F_1
70. Point(r_1) → G_1
71. Segment(D_1, B) → s_1
72. Segment(E_1, C) → t_1
73. Segment(F_1, Y) → a_2
74. Segment(G_1, Z) → b_2
75. Semicircle(J_1, I_1) → c_2
76. Segment(J_1, I_1) → d_2
77. Point(c_2) → K_1
78. Segment(H_1, K_1) → e_2
79. Angle(I_1, H_1, K_1) → η
80. Rotate(B, η, D_1) → B'_1
81. Angle(B, D_1, B'_1) → θ
82. Ray(D_1, B'_1) → f_2
83. Rotate(Y, η, F_1) → Y'_1
84. Angle(Y, F_1, Y'_1) → ι
85. Ray(F_1, Y'_1) → g_2
86. Point(g_2) → L_1
87. Segment(L_1, F_1) → h_2
88. Point(f_2) → M_1
89. Segment(M_1, D_1) → i_2
90. Rotate(B, 270*°, C) → B'_2
91. Angle(B'_2, C, B) → κ
92. Ray(C, B'_2) → j_2
93. Rotate(Y, 270*°, Z) → Y'_2
94. Angle(Y'_2, Z, Y) → λ
95. Ray(Z, Y'_2) → k_2
96. Point(j_2) → N_1
97. Segment(N_1, C) → l_2
98. Point(k_2) → O_1
99. Segment(O_1, Z) → m_2
100. Rotate(B, η, A) → B'_3
101. Angle(B, A, B'_3) → μ
102. Rotate(Y, η, X) → Y'_3
103. Angle(Y, X, Y'_3) → ν
104. Ray(A, B'_3) → n_2
105. Ray(X, Y'_3) → p_2
106. Circle(A, C) → q_2
107. Point(n_2) → S_1
108. Segment(S_1, A) → r_2
109. Point(p_2) → T_1
110. Segment(T_1, X) → s_2
111. Ray(B, C) → t_2
112. Ray(Y, Z) → a_3
113. Point(t_2) → U_1
114. Point(a_3) → V_1
115. Segment(B, U_1) → b_3
116. Segment(Y, V_1) → c_3
117. Rotate(B, -δ, U_1) → B'_4
118. Angle(B'_4, U_1, B) → ξ
119. Rotate(Y, -δ, V_1) → Y'_4
120. Angle(Y'_4, V_1, Y) → ο
121. Ray(U_1, B'_4) → d_3
122. Ray(V_1, Y'_4) → e_3
123. Intersect(b_1, d_3) → W_1
124. Segment(W_1, B) → f_3
125. Segment(W_1, U_1) → g_3
126. Intersect(h_1, e_3) → Z_1
127. Segment(Y, Z_1) → h_3
128. Segment(Z_1, V_1) → i_3
129. Angle(B, W_1, U_1) → ρ
130. Angle(Y, Z_1, V_1) → σ