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For each pair of triangles below, determine if the triangles are congruent. If the triangles are congruent, complete the congruence statement and state the congruence property. Otherwise, explain why you cannot conclude that the triangles are congruent.

  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.

    ; HL≅ (Remember , Reflexive)

  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.

    ; ASA≅ (Remember  Reflexive)

  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.