Answer:
Step-by-step explanation:
a) Steps to prove that two triangles are similar are
1) AA(angle angle)if two angles of each triangle is congruent to two angles of another triangle, then the third angles of both triangles must be congruent since the sum of angles in the triangle is 180 degrees
2) SSS(side side side) if the three sides of both triangles are proportional to each other, then the triangles are similar.
3) SAS(side angle side) if two sides of a triangle are proportional to two sides of another triangle and and the angle formed by both lines in the two triangles are equal, then the third sides of both triangles are proportional. Therefore, the triangles are similar.
b) triangle ABC would be similar to triangle QRS if
1) angle A is congruent to angle Q and angle B is congruent to angle R
2)if the ratio of AB to QR is proportional to the ratio of AC to QS, and to BC to RS
3) if AC is proportional to QS, AB is proportional to QR and angle A = angle Q
c) AC/AB = QS/QR
60/50 = 6/QR
6/5 = 6/QR
6QR = 6×5 = 30
QR = 30/6 = 5 cm
