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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, has two equal sides.  A line segment is drawn from upper vertex Q perpendicular to side P, R at point S forming a right triangles.

    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. _____
    Two triangles A, B, C and D, E, F.   Side A, B and E, D, are both 7.  Side B, C and side E, F are both, 6.  The length of F, C, is shared as part of the base for both triangles. The two bases are translated 3 units apart. Thus, A, F is 3 and C, D is 3.