The figure shows triangle POR and line segment AB, which is parallel to QR: А - В
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Part A: Is triangle POR similar to triangle PAB? Explain using what you know about triangle similarity (5 points)
Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points)
Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)

  A: the triangles are similar

  B: AB corresponds to QR

  C: ∠PAB corresponds to angle Q

Step-by-step explanation:

A line segment parallel to the base of a triangle will create a similar triangle. The AA similarity postulate can be used to conclude that.

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The triangles PQR and PAB are similar. This derives from the fact that angle P is in both triangles, and corresponding angles PAB and PQR are congruent. The AA congruence postulate applies.

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Based on the similarity statement, segment AB corresponds to segment QR.

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Transversal PQ crosses parallel lines AB and QR at points A and Q, respectively. The corresponding angles are PAB and PQR.

it's

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!