Part a: is triangle abc similar to triangle apq? explain using what you know about triangle similarity. (5 points) part b: which line segment on triangle apq corresponds to line segment bc? explain your answer. (3 points) part c: which angle on triangle apq corresponds to angle b? explain your answer. (2 points) : )

Part A.

Similar triangle states that the two triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

By definition;

Triangle ABC and triangle APQ are similar only

if:

Corresponding angles are congruent i.e,

 and

Corresponding sides are in proportion i,e

Therefore, we can say that the triangle ABC is similar to triangle APQ.

Part B:

If the corresponding angles i.e the angles that are on the same corner at each intersection, are equal (as triangle ABC is similar to triangle APQ)

then, the lines are parallel.

Therefore, the line segment on triangle APQ corresponds to line segment BC is, PQ

Part C

From Part A

if triangle ABC is similar to triangle APQ

then,

The angle on triangle APQ corresponds to angle B is angle P.

-2 is the right