### Home > GC > Chapter 4 > Lesson 4.2.2 > Problem 4-65

4-65.

**Examine** the diagram at right. If* * passes through point

*, then answer the questions below.*

Are the triangles similar? If so, make a flowchart

**justifying**your answer.What do the tick marks on the angles mean? What is

? How can these help you determine if the triangles are similar?Are the triangles congruent? Explain how you know.

Use the Pythagorean Theorem to calculate the length of

.