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Graph the reflection of the polygon in the given line #8 y=-3

Graph the reflection of the polygon in the given line #8 y=-3-example-1
User Abul
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1 Answer

19 votes
19 votes

In question 8, there is a polygon ABCD, where

A = (4, 0)

B = (6, -3)

C = (1, -2)

D = (2, 1)

We need to reflect it at the line y = -3

Then the x-coordinate of each point does not change, only the y-coordinates of the points will change

The vertical distance between each point and the line y = -3 will equal the vertical distance between their images and the line y = -3

Let us draw them

The polygon A'B'C'D' is the image of the polygon ABCD by reflection about the black line y = -3

Since the distance between the x-axis and the line y = -3 is 3 units, then the y-coordinates of each point will subtract from -6 except the point that lies on the line y = -3 as point B

A' = (4, -6 - 0) = (4, -6)

B' = (6, -3) = (6, -3)

C' = (1, -6 - (-2)) = (1, -6 + 2) = (1, -4)

D' = (2, -6-1) = (2, -7)

Graph the reflection of the polygon in the given line #8 y=-3-example-1
User Piyush Jajoo
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2.8k points