Right triangle ABC is reflected over AC, then dilated by a scale factor of Two-thirds to form triangle DEC. Which statements abo

Question

2 years ago

11

ut the two triangles must be true? Select three options.
△ABC ~ △DEC
∠B ≅ ∠E
3BC = 2EC
3DE = 2AB
3m∠A = 2m∠D
2m∠A = 3m∠D

1 answer:

andriy [413] · Answer 1 · 2023-09-07T15:38:05+03:00

The triangle △ABC and △DEC are similar to each other. Then the correct option is A, B, and D.

<h3>What is a transformation of a point?</h3>

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

Right triangle ABC is reflected over AC.

Then dilated by a scale factor of Two-thirds to form triangle DEC.

The triangle △ABC and △DEC are similar to each other.

△ABC ≅ △DEC

The dilation is 2/3. Then we have

DE / AB = 2 / 3

3AB = 2DE

∠B ≅ ∠E = 90

There is no effect of dilation on angle.

Then the correct option is A, B, and D.

More about the transformation of a point link is given below.

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