This is a manipulative used with the questions below to help students prove that the two triangles created by the intersection of two transversals between parallel lines will always be similar.
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?
