Similarity Geometry Practice Questions with Solutions

In triangles ABC and DEF, ∠A = ∠D and ∠B = ∠E. By which criterion are the triangles similar?

Triangle ABC ~ Triangle DEF, with AB = 4, BC = 6, and DE = 8. Find EF.

Two triangles have sides in the ratio 2:3. If the area of the smaller triangle is 20 cm², find the area of the larger triangle.

In the figure, ΔABC is similar to ΔEDC.

Q. If we have AB = 4 cm, ED = 3 cm, CE = 4.2 and CD = 4.8 cm, find the value of CA and CB

The area of similar triangles, ABC and DEF are 144 cm² and 81 cm² respectively. If the longest side of larger ΔABC be 36 cm, then the longest side of smaller ΔDEF is

The areas of two similar Δs are respectively 9 cm² and 16 cm². Find the ratio of their corresponding sides.

In triangle ABC, DE || BC, with D on AB and E on AC. If AD = 3, DB = 6, and AE = 4, find EC.

Triangle PQR ~ Triangle XYZ with a scale factor of 5:2. If PQ = 15 cm, find XY.

A vertical pole 6 m tall casts a shadow of 4 m. At the same time, a tower casts a shadow of 28 m. Find the height of the tower.

Two isosceles Δs have equal angles and their areas are in the ratio 16 : 25. Find the ratio of their corresponding heights.