3. Triangles

Triangle Similarity — Quiz

Test your understanding of triangle similarity with 5 practice questions.

Practice Questions

Question 1

Given triangles with vertices A(0,0), B(3,0), C(0,4) and D(0,0), E(6,0), F(0,8), are the triangles similar, and if so, what is the scale factor from ABC to DEF?

Question 2

In ΔABC, a line DE is drawn parallel to BC, intersecting AB at D and AC at E. If AD=3, DB=5, and AC=16, what are the lengths of AE and EC?

Question 3

In ΔABC and ΔDEF, given ∠B=∠E and AB=5, DE=15, EF=45, if the triangles are similar by SAS, what is the length of BC?

Question 4

Two similar triangles have corresponding sides in the ratio $3:5. If the area of the smaller triangle is $54$, what is the area of the larger triangle?

Question 5

Triangles with side lengths $7, 9, 11$ and $14, 18, 22 are given. Are these triangles similar, and if so, by which similarity criterion?