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
f X A. 5 B. 6 C. 7 D. 8
1 answer:
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
substitute the given values
solve for x
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Let f(x) = y.
y = 4x - 12
Let x = 0
y = 4(0) - 12
y = - 12
This leads to the point (0, -12).
Let y = 0.
0 = 4x - 12
1 2 = 4x
12/4 = x
3 = x
This leads to the point (3, 0).
We now graph both points and then connect each point with a straight line.
