12/13 would be your answer if you were to simplify your answer
The rule for the reflection
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>Further explanation</h3>
A reflection is an example of a transformation
Reflection is the process of mirroring each point on the geometry of a certain line.
The original figure is called the pre-image and the final figure is called the image
The image will be congruent with the pre image and the distance of the image to the mirror axis is the same as the distance of the pre image to the mirror axis
There are several reflection equations:
- The equation of reflection across the<em><u> x-axis
</u></em>
x '= x
y '= - y
can be written
- The equation of reflection across the <u><em>y-axis
</em></u>
x '= x
y '= -y
can be written
- The reflection equation across the line <u><em>y = -x
</em></u>
x '= - y
y '= - x
can be written
- The reflection equation across the line x = h
x '= 2h-x
y '= y
can be written
- The reflection equation across the line y = k
x '= x
y '= 2k-y
can be written
So the correct rule for reflection is:
rx-axis (x, y) → (x, –y)
ry-axis (x, y) → (–x, y)
<h3>
Learn more</h3>
the rule for the reflection
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Keywords : reflection, y-axis
The figure suggests that the two sub-triangle are similar, because they are both right and the angle at the top is the same.
If that is the case, we can claim that the correspondent sides are in proportion:
Solving for x we have
Answer:
the answer for your question is 9 31/42