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Home > CCG > Chapter 11 > Lesson 11.2.2 > Problem 11-101

11-101.

Line segment, A, P, intersects segment, R, I, at point, T, with line segments from, A, to, R, and from, I, to, P. Labels as follows: Side, I, T, 8.5, side, T, R, 8, angle, A, R, T, 53 degrees, angle, I, T, P, 29 degrees, angle I, P,  T, 98 degrees.Examine the triangles at right. Are they similar? Are they congruent? Explain how you know. Then write an appropriate similarity or congruence statement.  

 

Find the measures of the unknown angles, and the lengths of the unknown sides. Does this help prove the triangles are similar?

Similar but not congruent.