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Home > CCG > Chapter 7 > 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.  

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    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 each marked with one tick mark. Side C, E and side C, A are each marked with one tick mark.

    ; vertical angles are equal, .

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

    ;

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

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    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.

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