Question

Question 4 (10 points)

Answer 1

Part a: ΔABC≈ΔAPQ

Part b: The line segment PQ corresponds to the line segment BC.

Part c: Angle P in APQ triangle angle equates to angle B.

Define the term similarity rule of triangles?

• If two triangles have a similar ratio of adjacent angles and an equal proportion of corresponding sides, they are comparable.
• When two or more objects share the same shape but differ in size, they are referred to as comparable figures.

Part a: line segment PQ parallel to BC; PQ||BC

Thus, ∠ABC =∠APQ  AND,   ∠ACB=∠AQP

So, by (AA similarity rule)

ΔABC≈ΔAPQ

Part b: The line segment APQ on the triangle corresponds to the line segment BC:

By CPST, line segment PQ on triangle APQ equates to line segment BC (corresponding parts of similar triangle).

Part c: APQ triangle angle equates to angle B:

Angle P on triangle APQ equals angle B via CPST (corresponding parts of similar triangle).

To know more about the similar triangles, here

brainly.com/question/24370649

#SPJ4