Geometry: G.CO.A.2 Guide 3/4

Geometry: G.CO.A.2 Guide 3/4

Isometric Transformations

Multiple Choice

An isometric transformation is a transformation that...

• preserves shape and size.

• preserves shape, but not necessarily size.

• preserves size, but not necessarily shape.

• preserves neither shape nor size.

Multiple Choice

Are rotations isometric?

• Yes

• No

Multiple Choice

Are reflections isometric?

• Yes

• No

Multiple Choice

Are translations isometric?

• Yes

• No

Multiple Choice

Are dilations isometric?

• Yes

• No

Multiple Choice

Are stretches isometric?

• Yes

• No

Multiple Choice

Which of the following is an example of a stretch?

• $\left(x,y\right)\rightarrow\left(x+3,\ y+2\right)$

• $\left(x,y\right)\rightarrow\left(3x,0.5y\right)$

• $\left(x,y\right)\rightarrow\left(\pi x,\pi y\right)$

• $\left(x,y\right)\rightarrow\left(-y,x\right)$

Multiple Choice

Which of the following is an example of a dilation?

• $\left(x,y\right)\rightarrow\left(\sqrt{2}x,\sqrt{2}y\right)$

• $\left(x,y\right)\rightarrow\left(4x,y\right)$

• $\left(x,y\right)\rightarrow\left(x-8,\ y-8\right)$

• $\left(x,y\right)\rightarrow\left(\frac{2}{3}x,\ \frac{3}{2}y\right)$

Multiple Select

Which are isometric transformations? Select all that apply.

• Dilations

• Reflections

• Rotations

• Stretches

• Translations

Multiple Choice

True/False:  $\left(x,y\right)\rightarrow\left(x,\ -y\right)$  is isometric.

• True

• False

Multiple Choice

True/False:  $\left(x,y\right)\rightarrow\left(x,\ -2y\right)$  is isometric.

• True

• False

Multiple Choice

True/False:  $\left(x,y\right)\rightarrow\left(x+\sqrt{5},\ y-\pi\right)$  is isometric.

• True

• False