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5-58.

For each pair of triangles below, determine if the triangles are congruent. If the triangles are congruent,

  • ​complete the correspondence statement,

  • state the congruence property,

  • and record any other ideas you use that make your conclusion true.

Otherwise, explain why you cannot conclude that the triangles are congruent. Note that the figures are not necessarily drawn to scale.

  1. _____ 
    Triangle, P Q R, with dashed segment from vertex Q, perpendicular to side, P R, at point, S, sides, Q P, & Q R, each have 1 tick mark.

    by

  1. _____ 
    Quadrilateral D, E, F, G where sides D, G and E, F have one arrow and sides D, E and G, F have two arrows.  A dashed line, G, E, divides the shape in half.

    by ___

  1. _____ 
    2 connected triangles A, B, C and D, E, F, points, A, F, C, D, are on same segment, Side A, B, and side E, D, are each 7, Side B, C, and side E, F, are each 6, segment A, F, and segment C, D, are each 3.