Reflection and Distance on Coordinate Plane

Front

What is reflection in the coordinate plane?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of a point (x, y) over the x-axis?

Back

The reflection of (x, y) over the x-axis is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of a point (x, y) over the y-axis?

Back

The reflection of (x, y) over the y-axis is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point C (0, -4) over the x-axis?

Back

C' (0, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What axis is the shape reflected over if the y-coordinates change sign?

Back

The x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If A is plotted at (-6, -1) and is reflected across the x-axis, what is the new coordinate?

Back

(-6, 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (3, 4) and (3, 1)?

Back

The distance is 3 units.

Tags

CCSS.6.G.A.3

Front

What is the distance between the points (10, 0) and (-5, 0)?

Back

The distance is 15 units.

Tags

CCSS.HSG.GPE.B.7

Front

What is the distance between the points (0, 0) and (0, 5)?

Back

The distance is 5 units.

Tags

CCSS.6.G.A.3