Question

1. use the diagram below to answer the following questions. a) name the transversal connecting ∠1 and ∠5. b) name the transversal connecting ∠7 and ∠14. c) name the transversal connecting ∠8 and ∠11. d) name the transversal connecting ∠6 and ∠15. e) name the transversal connecting ∠3 and ∠9.

Explanation:

Step1: Recall transversal definition

A transversal is a line that intersects two or more lines. We identify the line that intersects the lines containing the given - angle pairs.

Step2: Analyze pair a)

For ∠1 and ∠5, the transversal connecting them is line \(r\).

Step3: Analyze pair b)

For ∠7 and ∠14, the transversal connecting them is line \(s\).

Step4: Analyze pair c)

For ∠8 and ∠11, the transversal connecting them is line \(p\).

Step5: Analyze pair d)

For ∠6 and ∠15, the transversal connecting them is line \(q\).

Step6: Analyze pair e)

For ∠3 and ∠9, the transversal connecting them is line \(p\).

Answer:

a) \(r\)
b) \(s\)
c) \(p\)
d) \(q\)
e) \(p\)