rigid transformation

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Tags

CCSS.HSG.CO.A.2

Front

What happens to the coordinates of a point when it is translated 3 units left and 9 units down?

Back

To translate a point (x, y) 3 units left and 9 units down, subtract 3 from the x-coordinate and 9 from the y-coordinate. The new coordinates will be (x-3, y-9).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° clockwise rotation about the origin?

Back

To rotate a point (x, y) 90° clockwise about the origin, the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection across the y-axis on the coordinates of a point?

Back

Reflecting a point (x, y) across the y-axis changes its coordinates to (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a triangle is rotated 180° about the origin, what happens to its coordinates?

Back

Rotating a point (x, y) 180° about the origin results in new coordinates (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a translation and a reflection?

Back

A translation moves a figure without changing its orientation, while a reflection flips a figure over a line, changing its orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation that maps ABC to A'B'C' if A' is the reflection of A across the x-axis?

Back

The transformation is a reflection across the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point is translated 5 units up, what is the change in its y-coordinate?

Back

The y-coordinate increases by 5.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5