Dilation in Coordinate Plane

A dilation is which of the following: 

• An enlargement

• A reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

If triangle ABC is dilated using a scale factor of 1/3 with the origin as the center of dilation, what are the coordinates of the vertices of triangle A'B'C'?

• A'(-12,-6); B'(-6,-6), C'(-12,-12)

• A'(-9,-3); B'(-6,-6), C'(-9,-6)

• A'(-6,-3); B'(-3,-3), C'(-6,-6)

• A'(-4,-2); B'(-2,-2), C'(-4,-4)

If triangle ABC is dilated using a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of triangle A'B'C'?

• A'(4,5); B'(6,2), C'(2,1)

• A'(8,10); B'(12,4), C'(4,2)

• A'(12,15); B'(18,6), C'(6,3)

• A'(16,20); B'(12,8), C'(8,4)

If triangle ABC is dilated using a scale factor of 1/2 with the origin as the center of dilation, what are the coordinates of the vertices of triangle A'B'C'?

• A'(3,-1); B'(2,-3), C'(1,-1)

• A'(6,-2); B'(4,-6), C'(2,-2)

• A'(-3,1); B'(2,-3), C'(-1,1)

• A'(-6,2); B'(-4,6), C'(-2,2)

If triangle ABC is dilated using a scale factor of 2 with the origin as the center of dilation, what are the coordinates of the vertices of triangle A'B'C'?

• A'(-12,9); B'(-6,6), C'(-12,3)

• A'(9,-12); B'(6,-6), C'(3,-12)

• A'(-6,8); B'(-4,4), C'(-8,2)

• A'(8,-6); B'(4,-4), C'(2,-8)

Choose the correct scale factor:

• 2.5

• 1.5

• 3.5

• 4

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

State the coordinates of the image of point C after a dilation with a scale factor of 1/2 and center point P.

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?

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A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)