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.

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540