#### Transcript of How to Reflect Points on a Coordinate Plane

**How to Reflect Points on a Coordinate Plane**

**First, Know...**

Reflecting points across an axis is like creating a mirror image.

The x-axis is the horizontal axis.

The y-axis is the vertical axis.

Y-AXIS

When reflecting over the y-axis the sign of the x-value changes. The sign of the y-value never changes.

Home Work

X-AXIS

When reflecting points over the x-axis, the sign of the y-value changes. The sign of the x-value never changes.

Examples

(2,1) reflected over the x-axis becomes (2,-1).

(4,-3) reflected over the x-axis becomes (4,3).

Example:

For example: Create one half of a butterfly on the positive side of the x-axis, and reflect the half of the butterfly over the y-axis so that you have created a complete butterfly.

Hint:

The origin point will stay at (0,0) when reflecting across the y or x-axis.

Practice

Try to reflect (3,5) over the x-axis .

Answer:

(3,-5)

Examples

(4,2) reflected over the y-axis is (-4,2).

(-5,1) reflected over the y-axis is (5,1).

Practice

Try to reflect (3,3) over the y-axis.

Answer:

(-3,3)

Create a drawing on graph paper using

reflection and symmetry.

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