Question

Triangle JKL is dilated from the origin at a scale factor of 10 to create triangle J′K′L′.

Select the option that completes the statement:

The triangles are __________ because their corresponding sides are __________ and their corresponding angles are __________.

a
congruent; congruent; proportional

b
similar; congruent; proportional

c
congruent; similar; similar

d
similar; proportional; congruent

Answer 1

The triangles are similar because their respective sides are proportionate and their corresponding angles are congruent.

Given that,

Triangle JKL is dilated at an angle of 10 from the origin to produce triangle J'K'L′.

We have to select the correct option for

Because their corresponding sides and angles are _________ and __________, respectively, the triangles are __________.

The fact that

When two figures are comparable, their corresponding sides and angles are proportional and congruent, respectively. The scale factor is the ratio of its corresponding sides.

An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.

In this issue,  triangle JKL and J'K'L' are comparable.

Therefore, The triangles are similar because their respective sides are proportionate and their corresponding angles are congruent.

To learn more about triangle visit: https://brainly.com/question/2773823

#SPJ1