Rigid Motions Review

Front

What are rigid motions in geometry?

Back

Rigid motions are transformations that preserve distance and angle measures, meaning the shape and size of the figure remain unchanged. Examples include translations, rotations, and reflections.

Tags

CCSS.HSG.CO.B.6

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation about the origin are (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point 2 units left and 3 units up?

Back

To translate a point (x, y) 2 units left and 3 units up, use the rule (x, y) → (x - 2, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for reflecting a point across the y-axis?

Back

The rule for reflecting a point (x, y) across the y-axis is (x, y) → (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected 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

What is the result of rotating a point (3, 4) 90° clockwise about the origin?

Back

The new coordinates after a 90° clockwise rotation are (4, -3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Describe the transformation that results in a translation of 5 units right and 2 units down.

Back

The transformation can be described by the rule (x, y) → (x + 5, y - 2).

Tags

CCSS.HSG.CO.A.2

Front

What is the effect of a reflection across the line y = x on the point (a, b)?

Back

The effect of reflecting a point (a, b) across the line y = x is to swap the coordinates, resulting in (b, a).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the new position of a triangle after a rotation?

Back

To determine the new position of a triangle after a rotation, apply the rotation rules to each vertex of the triangle and plot the new coordinates.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation rule for a 180° rotation about the origin?

Back

The transformation rule for a 180° rotation about the origin is (x, y) → (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5