Question

1. the diagram below shows two parallel lines cut by a transversal. angles p, q, and r are shown. circle the step or steps that is incorrect in the proof below. statements. 1. a || b 2. ∠p≅∠q 3. ∠q≅∠r 4. ∠p≅∠r reasons 1. given 2. vertical angles 3. vertical angles 4. transitive prop

Explanation:

Step1: Analyze statement 1

The statement "a || b" is given as fact, and the reason "Given" is correct.

Step2: Analyze statement 2

∠P and ∠Q are vertical - angles. By the vertical - angles theorem, vertical angles are congruent. So, the statement "∠P≅∠Q" with the reason "Vertical Angles" is correct.

Step3: Analyze statement 3

∠Q and ∠R are vertical - angles. By the vertical - angles theorem, vertical angles are congruent. So, the statement "∠Q≅∠R" with the reason "Vertical Angles" is correct.

Step4: Analyze statement 4

The transitive property states that if a = b and b = c, then a = c. Here, since ∠P≅∠Q and ∠Q≅∠R, we can conclude ∠P≅∠R using the transitive property. So, the statement "∠P≅∠R" with the reason "Transitive Prop" is correct.

Answer:

None of the steps is incorrect.