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Katyanochek1 [597]
3 years ago
13

Triangle A is reflected in the x axis to give triangle B, which is then reflected in the line y=x to give Triangle C. Draw Trian

gle C.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
3 0

Answer:

The coordinates of triangle C on the grid are

(-5,4) , (-2,2) and (-2,4)

Step-by-step explanation:

We can identify the coordinates of the vertices of the triangles so as to get a diagram

For the first triangle, we have the following coordinates;

(4,5) , (2,2) and (4,2)

Now, let us get the coordinates of triangle B after reflecting triangle A in the x-axis

what we have in this case is that the x-axis coordinates stays same while the y-axis values are negated

Hence, the coordinates of triangle B are;

(4,-5) , (2,-2) and (4,-2)

Lastly we are to reflect triangle B in the line y = x so we get triangle C

A reflection over the line y= x means that we are going to switch the place of the x and y coordinates of the pre-image

So, the coordinates of triangle C are;

(-5,4) , (-2,2) and (-2,4)

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The value of "K"

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3,6 | 3
1,2 | 2
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Solving:
k -\frac{1}{3} = \frac{5}{6}
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cancel denominators (6)
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\boxed{k =  \frac{7}{6} }


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