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7-59.

For each pair of triangles below, determine if the triangles are congruent. If the triangles are congruent, make a flowchart that justifies your conclusion. Make sure your flowchart states the triangle congruence condition that justifies your conclusion. If you cannot conclude that the triangles are congruent, explain why not.

Review Lesson 7.1.3 and Lesson 7.1.4.
Read the Math Notes box in lesson 7.1.7 on Triangle Congruence Conditions.


  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.

    ; vertical angles are equal, .


  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.

    ;


  1. 2 triangles, I,J,K, & H,K,M, labeled as follows: side L,J, 1 tick mark, angle L, 1 tick mark, angle J, 2 tick marks, side K,M, 1 tick mark, angle K, 1 tick mark, angle H, 2 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.