Rigid Transformations

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 are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Tags

CCSS.8.G.A.3

Front

What happens to a point (x, y) when it is translated 6 units up?

Back

The new coordinates will be (x, y+6).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (3, 4) is reflected over the y-axis, what are the new coordinates?

Back

The new coordinates will be (-3, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 90 degrees counterclockwise around the origin?

Back

The new coordinates of the point (x, y) will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point 4 units to the left and 5 units down?

Back

Subtract 4 from the x-coordinate and 5 from the y-coordinate: (x-4, y-5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection over the x-axis on the point (a, b)?

Back

The new coordinates will be (a, -b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the definition of translation in geometry?

Back

Translation is a type of transformation that moves every point of a figure the same distance in the same direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a quadrilateral is translated 3 units right and 2 units up, what are the new coordinates of the point (1, 1)?

Back

The new coordinates will be (4, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips a figure over a line.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5