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Math 8 Testlet 006 - Effect of Dilations, Translations, Rotations, and Reflections 8.GM.A.3

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8 Nsɛmmisa
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8.GM.A.3
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8.GM.A.3
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1.

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?

8.GM.A.3
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2.

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'?

8.GM.A.3
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3.

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'?

8.GM.A.3
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4.

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'?

8.GM.A.3
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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'?

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6.

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?

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7.

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 point B'? ( , )

8.GM.A.3
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8.

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?

8.GM.A.3