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please help me with this

Triangle ABC is dilated so that the side lengths of the image are three times the lengths of their corresponding sides. Which of the following statements are true?
Select all that apply.

AB ≅ A'B'
CB ~ C'B'
∠A ≅ ∠A'
CA ≅ C'A'
∠B ~ ∠B'

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musiclover10045

Since all the sides would be scaled together, all the angles would still be similar.

The answer should be:

∠A ≅ ∠A'

∠B ~ ∠B'

Answer with explanation:

It is given that , Δ ABC is dilated to obtain Δ A'B'C'.

Dilation factor =3,because it is given that

[tex]\frac{A'B'}{AB}=\frac{B'C'}{BC}=\frac{C'A'}{CA}=3[/tex]

→ When , a geometrical object is dilated, the two pre image and Image are similar, and size of image will be smaller than Pre image,if Dilation factor <1, and size of image will be Larger than Pre image,if Dilation factor >1.

So, when two triangles are similar,then

1. Corresponding sides are Proportional.

2. Corresponding Interior Angles are equal.

Correct Statement are

2.→CB~C'B'

3→.∠A ≅ ∠A'

5.→∠B~∠B'

Option 2,3 and 5.

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