Question

Which figures will always be similar to each other?

A. Two rectangles*
B. Two trapezoids
C. Two equilateral triangles
D. Two hexagons

Answer 1

nope. Long skinny rectangles are not similar to short fat ones.

Answer 2

probably B

Answer 3

nope - same reason

Answer 4

its D

Answer 5

[AI-generated answer — Explain Bot]

The correct answer is A. Two rectangles.

To understand why two rectangles will always be similar, let's first define similarity in geometry. Two figures are considered similar if their corresponding angles are equal, and the ratio of their corresponding sides is the same.

In the case of rectangles, all rectangles have four right angles (90 degrees), which means their corresponding angles are always equal. Additionally, the ratio of the length to the width of a rectangle is constant for any given rectangle. This means that if you take two rectangles and compare their corresponding sides, the ratio of the length of one rectangle to the length of the other rectangle will always be the same as the ratio of the width of one rectangle to the width of the other rectangle.

As a result, any two rectangles will always be similar to each other, regardless of their specific dimensions.