Testlet 6: Transformations

Quadrilateral ABCD is dilated by a scale factor centered at the origin to create quadrilateral A'B'C'D' as shown on the coordinate plane. What is the scale factor of the dilation?

• -2

• -1/2

• 1/2

• 2

Tags

CCSS.8.G.A.3

Rectangle JKLM is shown on the coordinate plane. Rectangle JKLM is reflected over the y-axis to create J'K'L'M'. What are the coordinates for point K'?

• (2, 3)

• (3, 2)

• (−2, −3)

• (−3, −2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rectangle ABCD and its image, rectangle A'B'C'D', are shown on the coordinate plane. Which transformation can be used to map rectangle ABCD to rectangle A'B'C'D'?

• a translation 4 units down

• a reflection across the x-axis

• a reflection across the y-axis

• a 270° rotation clockwise about the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Polygon ABCD is shown on the coordinate plane. Polygon ABCD is translated 4 units up and 2 units to the left to create polygon A'B'C'D'. What are the coordinates of point B'?

• (−5, 0)

• (−3, 2)

• (1, 2)

• (3, −4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The vertices for two triangles on the coordinate plane are shown.

• - Triangle MLK: M(−3, 6), L(0, 9), K(3, 3)

• - Triangle M'L'K': M'(−1, 2), L'(0, 3), K'(1, 1)

• Which transformation maps triangle MLK onto triangle M'L'K'?

• a translation of 2 units to the right and 4 units up

• a translation of 0 units to the right and 6 units up

• a dilation with a scale factor of 3 centered at the origin

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

Casey performs a transformation on a pentagon graphed on a coordinate plane using a dilation with a scale factor of 4 centered at the origin. What should Casey do to determine the coordinates of the image?

• A. Casey should add 4 to each coordinate.

• B. Casey should divide each coordinate by 4.

• C. Casey should multiply each coordinate by 4.

• D. Casey should subtract 4 from each coordinate.

Tags

CCSS.8.G.A.3

Rectangle ABCD is shown on the coordinate plane. Rectangle ABCD is dilated by a scale factor of 2 centered at the origin to create rectangle A'B'C'D'. What are the coordinates of B'?

No spaces.

Tags

CCSS.8.G.A.3

Rectangle ABCD is shown on the coordinate plane. A dilation centered at the origin is applied to rectangle ABCD. After the dilation, the image of point A is at (-6, 3). What is the scale factor used to create the image of rectangle ABCD?

Tags

CCSS.8.G.A.3