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Home > GC > Chapter 10 > Lesson 10.1.3 > Problem 10-32

10-32.

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.

  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.

  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.

By ~, ~

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

and are alternate interior angles, as are and .