Here are some polygons: Which of Polygons B, C, D, E, and F are similar to Polygon A?
Answers
Given:
Polygon A, B, C, D, E, F
To find:
Polygon similar to Polygon A
Solution:
Two polygons are considered to be similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.
We are going to label the blue polygon as A and the other going left to right first line then second-line alphabetically.
First, let us compare Polygon A with polygon B
The angles are congruent but the sides are in a ratio of
4/5 2/2 2/3
Now, let us compare Polygon A with polygon C
The angles are congruent but the sides are in a ratio of
4/4 2/4 2/2
Now, let us compare Polygon A with polygon D
The angles are congruent and the sides are in a ratio of
2/4 = 2/4 = 2/4 = 4/8
Hence, Polygon A ~ Polygon D
Now, let us compare Polygon A with polygon E
The angles are congruent and the sides are in a ratio of
2/1 = 2/1 = 2/1 = 4/2
Hence, Polygon A ~ Polygon E
Now, let us compare Polygon A with polygon F
The angles are congruent and the sides are in a ratio of
2/2= 2/2 = 2/2 = 4/4
Hence, Polygon A ~ Polygon F
Therefore, Polygon A is similar to polygon D, E and F.
Answer:
b,c, and e
Step-by-step explanation:
if you look at a then look at B, C,&E