Reflections on Coordinate Plane

Front

What is a reflection in geometry?

Back

A reflection is when you flip or mirror an object across a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

The x-coordinate remains the same, and the y-coordinate changes sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected over the y-axis?

Back

The y-coordinate remains the same, and the x-coordinate changes sign.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If the point (3, 5) is reflected over the x-axis, what are the new coordinates?

Back

(3, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If the point (-2, 4) is reflected over the y-axis, what are the new coordinates?

Back

(2, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection?

Back

The line of reflection is the line across which a figure is flipped or mirrored.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Reflect the point (6, -3) over the x-axis. What are the new coordinates?

Back

(6, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Reflect the point (-5, 2) over the y-axis. What are the new coordinates?

Back

(5, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point over the same line?

Back

The point remains unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after reflecting over the x-axis?

Back

(1, -2), (3, -4), (5, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5