Rotations and Dilations Skills Check

What are the coordinates of the point (-9, 7) after a  $90\degree$  clockwise rotation?

• (7, 9)

• (7, -9)

• (9, 7)

• (-7, -9)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the coordinates of the point  (6, 5) after a  $180\degree$  counter-clockwise rotation?

• (-5, -6)

• (5, 6)

• (-6, -5)

• (6, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point T( -4, 7) rotated about the origin to T' (-7, -4). Describe the path of rotation.

• Point T rotated $90\degree$ clockwise about the origin.

• Point T rotated $180\degree$ counter-clockwise about the origin.

• Point T rotated $270\degree$ counter-clockwise about the origin.

• Point T rotated $270\degree$ clockwise about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point U( -8, 2) rotated about the origin to U' (2, 8). Describe the path of rotation.

• Point U rotated $90\degree$ clockwise about the origin.

• Point U rotated $180\degree$ counter-clockwise about the origin.

• Point U rotated  $90\degree$  counter-clockwise about the origin.

• Point U rotated $270\degree$ clockwise about the origin.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

For the dilation rule  $\left(x,\ y\right)\rightarrow\left(5x,\ 5y\right)$  what is the scale factor? Is it an enlargement or a reduction?

• The scale factor is  $5x$   and it is an enlargement.

• The scale factor is  $5$   and it is an enlargement.

• The scale factor is  $5x$   and it is a reduction.

• The scale factor is  $5$  and it is a reduction.

Tags

CCSS.8.G.A.3

For the dilation rule  $\left(x,\ y\right)\rightarrow\left(\frac{7}{8\ }x,\ \frac{7}{8}y\right)$  what is the scale factor? Is it an enlargement or a reduction?

• The scale factor is  $\frac{7}{8}x$   and it is an enlargement.

• The scale factor is  $\frac{7}{8}$   and it is an enlargement.

• The scale factor is  $\frac{7}{8}x$   and it is a reduction.

• The scale factor is  $\frac{7}{8}$  and it is a reduction.

Tags

CCSS.8.G.A.3

 $\Delta BAT$   $B\left(4,\ 1\right),\ A\left(2,0\right),\ T\left(3,\ 8\right)$  is dilated using the rule  $\left(x,\ y\right)\rightarrow\left(\frac{1}{2\ }x,\ \frac{1}{2}y\right).$  What are the vertices of  $\Delta B'A'T'?$  

•  $B'\left(8,\ 2\right),\ A'\left(4,\ 0\right),\ T'\left(\ 6,\ 18\right)$  

•  $B'\left(2,\ 0.5\right),\ A'\left(1,\ 0\right),\ T'\left(1.5,\ 4\right)$  

•  $B'\left(2,\ 0.5\right),\ A'\left(1,\ -0.5\right),\ T'\left(2,\ 4\right)$  

•  $B'\left(2,\ 1\right),\ A'\left(1,\ 0\right),\ T'\left(0.5,\ 8\right)$  

Tags

CCSS.8.G.A.3

Johnny says the transformation rule  $\left(x,\ y\right)\rightarrow\left(3x,\ 3y\right)$  would make a triangle's image have sides three times the length of the pre-image.  Do you agree?

• Yes

• No

Tags

CCSS.HSG.CO.A.2