Drag the coordinates to match the coordinates of each point on the left with the coordinates of its reflection across the x-axis on the right.

Answer:

1. (-2,-7)

2. (3,-9)

3. (7,-2)

4.(-3,9)

Step-by-step explanation:

Since the reflection is across the x-axis, the y-coordinate will be flipped.

Example: (-7,4) would become (-7,-4)

HOWEVER, if the reflection is across the y-axis, the x coordinate will be flipped.

Example: (-7,4) would become (7,4)

The coordinates of the point after the reflection over the x-axis is given as

a) ( -2 , 7 ) = ( -2 , -7 )

b) ( 3 , 9 ) = ( 3 , -9 )

c) ( 7 , 2 ) = ( 7 , -2 )

d) ( -3 , -9 ) = ( -3 , 9 )

What is Reflection?

Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.

The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

Given data ,

Let the coordinates of the point be represented as A

Now , the value of A is

And , reflection of point (x, y) across the x-axis is (x, -y)

So , when A ( -2 , 7 ) is reflected , we get A' ( -2 , -7 )

On simplifying , we get

The coordinates of the point after reflection over x-axis are

( 3 , 9 ) = ( 3 , -9 )

( 7 , 2 ) = ( 7 , -2 )

( -3 , -9 ) = ( -3 , 9 )

Hence , the reflection is solved

To learn more about reflection click :

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