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The vertices of a triangle are P(-5,1), Q(-3,-2) and R(-4,-3). Name the vertices of the P reflected over y = x

User Frozenjim
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1 Answer

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20 votes

Step 1: Concept

To transform a triangle over y = x, the point of the reflection will be

Point of pre-image Point of image

(x, y) (y, x)

For example, if the vertice of the pre-image is (3,2), then the vertice of the image will be (2,3) when reflected over y = x, meaning you will just swap the coordinate.

Step 2:

The coordinate of the vertices of the pre-image of a triangle PQR is P(-5,1), Q(-3,-2), and R(-4,-3). When reflected over y = x, the coordinate of the image will be:

P (1, -5) , Q (-2 , -3) and R (-3 , -4)

Step 3:

Final answer

The vertices of P reflected over y = x is P' (1, -5)

Answer P' (1, -5)

User Eric Grange
by
2.8k points
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