Triangle JKL was translated 12 units vertically and then reflected over the y-axis to create triangle J'K'L' What is the value o

Question

3 years ago

13

f X A. 5 B. 6 C. 7 D. 8

1 answer:

vova2212 [387] · Answer 1 · 2022-07-15T03:55:21+03:00

Answer:

B. 6

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A translation and a reflection are rigid transformations, that produce congruent figures'

Remember that

Two figures are congruent if their corresponding sides and their corresponding angles are congruent

In this problem

Triangle JKL and Triangle J'K'L' are congruent

so

$JL=J'L'$

substitute the given values

$8=2x-4$

solve for x

$2x=8+4\\2x=12\\x=6$