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10-36.

For each pair of triangles below, decide if the triangles are similar or not and explain how you know. If the triangles are similar, complete the similarity statement .  

  1. Larger triangle, A, B, C, with angles labeled as follows: b, 56 degrees, c, 34 degrees. Smaller triangle, H, K, L, with angles labeled as follows: h, 34 degrees, l, 90 degrees.

     

    By ,

  1. Triangle on left, A, B, C, with sides labeled as follows: A, B, 6, A, C, 9. Triangle on right, X, Y, Z, with sides labeled as follows: X, y, 4, X, Z, 6.

    There is not enough information to determine whether or not the two triangles are similar.

  1. Vertical line segments, A, B, and D, E, are each marked with double arrows. Line segment, A, E, intersects line segment, D, B, at, C.

    are alternate interior angles, as are .