Translations, Reflections & Rotations

Front

What are Translations, Reflections, and Rotations?

Back

They are types of transformations in geometry known as isometries, which preserve distances and angles.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does reflecting a point over the y-axis change?

Back

It changes the x-coordinate of the point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 90° counterclockwise about the origin?

Back

The coordinates of the point change according to the rotation rules.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (4,-2) remains unchanged after a rotation, how many degrees was it rotated?

Back

360 degrees.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of the point (6, -3) over the x-axis?

Back

(6, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Define Translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a Reflection in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a Rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new coordinates of a point after a 90° counterclockwise rotation?

Back

Switch the x and y coordinates and change the sign of the new x-coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The new coordinates become (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5