The figure shows triangle PQR and line segment AB, which is parallel to QR: Triangle PQR has a point A on side PQ and point B on side PR. The line AB is parallel to the line QR.

Part A: Is triangle PQR 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)

HELP

part C is the answer your welcome

Step-by-step explanation:

Part A: Yes

Proof:

a) Basic Proportionality Theorem (also Side Splitter Therom) which states that: "If a line (AB) intersects two sides (PQ and PR) at two distinct points and is parallel to the third side (QR), therefore is divid these sides proportionally."

b) Therefore, according to SSS Similarity Theorem: "If the sides of the two triangles are proportional, then the two triangles (PQR and PAB) are similar

Part B: The line segment AB corresponds to line segment QR because the triangles are similar and these two sides are parallel

Part C: Angle A (or Angle PAB) corresponds to Angle Q because line segment AB corresponds to QR and line segment PA corresponds to line segment PQ.