Figure ABCD is a parallelogram
2 answers:
The first thing we must do for this case is to find the relationship between the variables.
We have then:
From here, we clear the value of "Y":
On the other hand we have:
From here, we clear the value of "x":
Then, replacing values we have:
On the other hand:
Finally, the perimeter is given by:
Substituting values we have:
Answer:
the perimeter of ABCD is:
44 units
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The transformation was a reflection over the line x = -0.5
And the image and preimage can be seen in the graph below.
<h3>How to identify the preimage and image?</h3>
First, the original vertices are:
L(3, 3)
M(2, 4)
N(-1, 0)
3 vertices means that our figure is a triangle.
Now, the transformed vertices are:
L'(2, -5)
M'(3, -4)
N'(-1, 1)
And the graph of both sets can be seen below.
Now we can try to identify the transformation.
Now, notice that all the points (L, M, N, L', N', M') are equidistant to the horizontal line x = -0.5
This is a clear implication that the transformation was a reflection over the line x = -0.5
If you want to learn more about transformations:
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