Which of the following is NOT a property of similar triangles?

Correct option is D

Given:

​property of similar triangles

Solution:

In similar triangles, the following properties hold true:

A) Ratio of corresponding sides = Ratio of corresponding altitudes: This is true because the ratio of the sides of similar triangles is equal, and the corresponding altitudes will be in the same ratio.

B) Ratio of corresponding sides = Ratio of corresponding perimeters: This is true because the ratio of the perimeters of similar triangles will be the same as the ratio of their corresponding sides.

C) Ratio of corresponding sides = Ratio of corresponding medians: This is true because the corresponding medians of similar triangles will also be in the same ratio as their corresponding sides.

D) Ratio of any two angles = Ratio of any two medians: This is NOT true. The angles of similar triangles are equal (not in a ratio), and angles are not compared using the medians.

Therefore, the correct answer is:

D) Ratio of any two angles = Ratio of any two medians