Important Transformations in Geometry

Why is a translation considered a RIGID MOTION?

• It changes size

• It preserves distance

• It alters orientation

• It does not preserve angle measure.

Tags

CCSS.HSG.CO.B.6

What is a rotation in geometry?

• A slide

• A flip

• A turn

• A change in size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a dilation in geometry?

• A) A slide

• B) A flip

• C) A turn

• D) A change in size.

Tags

CCSS.8.G.A.3

Find A', the image of A(3, 5), after a reflection in the line y-axis.

• (5, 3)

• (-5, -3)

• (-3, -5)

• (-3, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the coordinates of A', the image of A(-2, -3) after a reflection in the x-axis?

• A'(2, -3)

• A'(-2, -3)

• A'(-2, 3)

• A'(3, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of reflecting the point (6, -7) over the origin?

• (-6, 7)

• (6, 7)

• (-6, -7)

• (7, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect the point (0, 8) over the x-axis. What are the coordinates of the image?

• (0, -8)

• (8, 0)

• (0, 8)

• (-8, 0)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A point C(1, -1) is reflected over the y-axis. What are the coordinates of C'?

• (-1, -1)

• (1, 1)

• (-1, 1)

• (1, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the diagram below, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself?

• x = 2

• y = 2

• y = x

• x = 5

Tags

CCSS.HSG.CO.A.3

If Rectangle ABCD is rotated 90 degrees clockwise, what will be the new coordinates of point A?

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5