188k views
0 votes
Which description is true about ​pre-image ABC​ and ​image A′B′C′​ ?

A.) The image is a rotation of the pre-image clockwise at 90°.

B.) The image is a reflection of the pre-image across the y-axis.

C.) The image is a dilation of the pre-image with a scale factor or 3.

D.) The image is a translation of the pre-image by moving up 2 units and to the right 2 units.

Which description is true about ​pre-image ABC​ and ​image A′B′C′​ ? A.) The image-example-1

1 Answer

7 votes

Answer:

Option (C)

Explanation:

From the graph attached,

In ΔABC and ΔA'B'C',

∠A ≅ ∠A'

∠B ≅ ∠B'

Therefore, ΔABC ~ ΔA'B'C'

Corresponding sides of these triangles will be proportional.


\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}=(2)/(6)

Therefore, ratio of the sides, AC : A'C' = 1 : 3 shows that image triangle A'B'C' is a dilated form of pre-image ABC with a scale factor of 3.

Option (C) will be the correct option.

User Youssef Boudaya
by
8.0k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories