Rotations Reflections and Translations

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

• (y, -x)

• (-x, -y)

• (-y, x)

• (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a transformation in geometry?

• A transformation is an operation that moves or changes a shape in some way to produce a new shape.

• A transformation is a method to calculate the area of a shape.

• A transformation is a technique used to measure angles in geometry.

• A transformation is a process of drawing shapes without any changes.

Tags

CCSS.HSG.CO.A.2

If a shape is reflected over the line y = x, what happens to the coordinates?

• The coordinates (x, y) become (y, x).

• The coordinates (x, y) become (x, -y).

• The coordinates (x, y) become (-x, y).

• The coordinates (x, y) remain unchanged.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the line of reflection?

• The line over which a shape is flipped to create a mirror image.

• A line that divides a shape into two equal parts without flipping.

• A line that connects two points in a shape.

• A line that represents the axis of rotation for a shape.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the effect of a 180° rotation on the point (x, y)?

• (x, y) remains unchanged

• (y, x)

• (-x, -y)

• (x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Define translation in geometry.

• A transformation that rotates a shape around a point.

• A transformation that moves every point of a shape the same distance in a given direction.

• A transformation that reflects a shape over a line.

• A transformation that changes the size of a shape without altering its proportions.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the effect of a 270° counterclockwise rotation on the point (x, y)?

• (y, -x)

• (-y, x)

• (-x, -y)

• (x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What happens to the coordinates of a point when it is translated 3 units to the right and 2 units up?

• The new coordinates will be (x + 3, y + 2).

• The new coordinates will be (x - 3, y - 2).

• The new coordinates will be (x + 2, y + 3).

• The new coordinates will be (x - 2, y + 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the angle of rotation for a full turn?

• 180°

• 360°

• 90°

• 270°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the four main types of transformations?

• Translations, rotations, dilations, and reflections.

• Translations, rotations, scalings, and projections.

• Reflections, translations, compressions, and expansions.

• Rotations, translations, inversions, and distortions.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5