Question

4. Which of the following types of polygons are always similar? Check all that apply.

A) Right Triangles
B) Isosceles Triangles
C) Equilateral Triangles
D) Squares
E) Rectangles
F) Pentagons
G) Regular Octagons

Answer 1

In mathematics, the polygons that are always similar include (C). equilateral triangles, (D). squares, and (G). regular octagons because they have all sides and angles equal which ensures similarity regardless of size.

Step-by-step explanation:

In mathematics, polygons that are always similar are those that have the same shape, but can have different sizes. Upon examining the options provided, the types of polygons that are always similar are:

• C) Equilateral Triangles - All sides and angles are equal, so any two equilateral triangles will be similar by definition.
• D) Squares - All sides are equal and all angles are right angles. Therefore, all squares are similar to each other.
• G) Regular Octagons - Regular octagons have all sides of equal length and equal angles, making all regular octagons similar to one another.

Right triangles, isosceles triangles, rectangles, and pentagons need not necessarily be similar because their side lengths and angles can vary in proportion.