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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Answer:
Step-by-step explanation:
Here, we have the known angle sandwiched between two known sides.
So, we have SAS.
And we want to find the side opposite to the angle.
Therefore, we can use the Law of Cosines:
Again, it is important what we substitute.
a and b are the two side lengths. So, we will substitute 8 for a and 13 for b.
C is our angle. So, substitute 64 for C.
And c is what we’re trying to solve.
Therefore:
Simplify:
Add:
Take the square root of both sides:
Use a calculator. So, c is approximately:
The c is our y. So, y is approximately 11.9 units.