Triangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5) — Unit test Answers

Which best explains whether or not all isosceles triangles are similar?

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

Point P partitions the directed segment from A to B into a 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

Two similar triangles are shown.

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.

Read the proof.Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°Prove: △HKJ ~ △LNP

Points Q and R are midpoints of the sides of triangle ABC.