ACCESS - Similar Triangles formed by Parallel Lines
Triangles PQR and SQT are formed by the intersection of two transversals of parallel sides. Drag the points to adjust the triangles. Use this manipulative to see if you can find a way to prove that these triangles will always be similar... Use the questions below to help.
Questions 1. How are segments PR and TS related? 2. If PR and ST were extended as lines, name two transversals of these lines. and 3. What type of angles are PQR and SQT? How are they related? 4. Look at transversal PS and segments PR and ST only. How could you describe the relationship between angles RPQ and TSQ? 5. Look at transversal RT and PR and ST only. How could you describe the relationship between angles QRP and QTS? 6. List the congruent angle pairs in this diagram. ∠ and ∠ ∠ and ∠ ∠ and ∠ 7. Complete the similarity statement: By the Similarity Theorem, ∆ ∼∆ 8. Based on this interactive, will two triangles created by the intersection of two transversals between parallel lines always be similar? Why or why not?