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Home > CCG > Chapter Ch7 > Lesson 7.3.1 > Problem 7-122

7-122.

For each pair of triangles below, determine if the triangles are congruent. If the triangles are congruent, state the triangle congruence condition that justifies your conclusion. If you cannot conclude that the triangles are congruent, explain why not.

  1. Two line segments D, B and A, E intersect at point, C. Two triangles are formed C, D, E and C, A, B.  Angle E and angle A are both marked with one tick mark. Side C, E and side C, A are both marked with one tick mark.

  1. Two triangles E, F, G, and B, C, D. Leg E, F and Leg B, C are both marked with one tick mark. Leg F, G and leg B, D are both marked with two tick marks.

  • ; vertical angles are equal, .

  • ;

  1. Two diagonal line segments, H, J, and L, J, meet at point, J. An additional point, I, is on the H, J line and, k, is on the L, J, line.  I, J and K, J each have 1 tick mark.  H, I and L, K, each have two tick marks.

  1. Line segments, P, S, and T, Q, intersect at R. Two triangles P, Q, R, and R, S, T, are formed. Angle P and angle S are both marked with one tick mark. Angle Q and angle T are both marked with two tick marks. Angle R is marked with three tick marks in each triangle.