Dilations in Coordinate Plane

Which graph shows the result of dilating this figure by a factor of 4 about the origin?

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The graph shows an image of a dilation about the origin with a scale factor of 1/2 . What are the coordinates of the pre-image of A', point A?

• (–8, –12)

• (–12, –8)

• (–2, –3)

• (–3, –2)

What is true about the dilation?

• It is a reduction with a scale factor between 0 and 1.

• It is a reduction with a scale factor greater than 1.

• It is an enlargement with a scale factor between 0 and 1.

• It is an enlargement with a scale factor greater than 1.

What is the scale factor in the dilation?

What is the scale factor in the dilation if the coordinates of A' are (–7, 6) and the coordinates of C' are (–4, 3)?

A quadrilateral with vertices at A(4, –4), B(4, –16), C(12, –16), and D(12, –4) has been dilated with a center at the origin. The image of D, point D' , has coordinates (36, –12). What is the scale factor of the dilation?

Segment AB is being dilated with the center at the origin. The image of A, point A', has coordinates of (3.2, 6.4). What is the scale factor of the dilation and the coordinates of point B'?

• The scale factor is 0.8 and the coordinates of point B' are (–3.2, –4.8).

• The scale factor is 1.25 and the coordinates of point B' are (–3.2, –4.8).

• The scale factor is 0.8 and the coordinates of point B' are (–5, –7.5).

• The scale factor is 1.25 and the coordinates of point B' are (–5, –7.5).

Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' , has coordinates of (7.2, 3.6). What is the scale factor of the dilation and what are the coordinates of point A' ?

• The scale factor is 1.2 and the coordinates of point A' are (–2.5, 2.5).

• The scale factor is 5/6 and the coordinates of point A' are (–2.5, 2.5).

• The scale factor is 1.2 and the coordinates of point A' are (–3.6, 3.6).

• The scale factor is 5/6 and the coordinates of point A' are (–3.6, 3.6).

The rectangle is the image after a dilation with the center of dilation at the origin of rectangle ABCD. The pre-image of A', point A, has coordinates of (–4, 3.2). What is the scale factor of the dilation and what are the coordinates of point C?

• The scale factor is 2.5 and the coordinates of point C are (–2.4, –0.8).

• The scale factor is 0.4 and the coordinates of point C are (–2.4, –0.8).

• The scale factor is 2.5 and the coordinates of point C are (–15, 5).

• The scale factor is 0.4 and the coordinates of point C are (–15, 5).

A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.

• The coordinates of C' are (0.75, 0.5).

• The scale factor is 1/8

• The coordinates of B' are (–0.25, 1).

• The scale factor is 8.

• The scale factor is 4.