Dilation Centered at a Point

If you were to dilate Square ABCD with a scale factor of 1/3 centered at the origin, what would the coordinate of D' be?

• (9, 9)

• (1, 1)

• (3, 3)

• (6, 6)

Given points A(1, -4) and B(-6, 3), find the coordinates of the image if the points are dilated by a scale factor of 2 with a center of C(1, -5).

• A'(5, -23) and B'(-9, -9)

• A'(1, -3) and B'(-13, 11)

• A'(2, -4) and B'(-11, 10)

• A'(3, 0) and B'(-10, 9)

Line A'B' will be the image of line AB under a dilation with a scale factor of 0.5 and a center at Point E. Which statements are true? Select ALL that apply.

• Line A'B' will be farther away from Point E than Line AB.

• Line A'B' will be parallel to Line AB.

• Line A'B' will be perpendicular to Line AB.

• Line A'B' will be closer to Point E than Line AB.

Hexagon ABCDEF is dilated by a scale factor of 0.5 with a center at C(-2, 4). Point D is originally located at (6, -8). What is Point D' of the hexagon?

• D'(-2, 2)

• D'(1, -3)

• D'(3, -1)

• D'(2, -2)

What is the center of dilation?

• (2, -1)

• (0, 0)

• (-2, 1)

• (-1, 2)

Line z has a y-intercept of -3 and a slope of 2. Line g is the result of dilating Line z by a factor of 1/2 with a center at (0, -4). What is the equation for Line g?

Select ALL that apply.

• Trapezoid ABCD is similar to Trapezoid A'B'C'D'.

• Trapezoid ABCD is NOT similar to Trapezoid A'B'C'D'.

• The scale factor of the dilation is 1/2 and centered at the origin.

• The scale factor of the dilation is 2 and centered at the origin.

• The scale factor of the dilation is 3 and centered at the origin.

Line A'B' will be the image of line AB under a dilation with a scale factor of 4 and a center at Point C. Which statement is true?

• Line A'B' will be farther away from Point C than Line AB.

• Line A'B' will be parallel to Line AB.

• Line A'B' will be the same line as Line AB.

• Line A'B' will be closer to Point C than Line AB.

What is the center of dilation?

• (1, 1)

• (3, 0)

• (-3, 0)

• (3, -2)

Which diagrams show a dilation centered at point O? Choose ALL that apply.

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