Dilations Practice

Congruent figures are figures that are the SAME size and the SAME shape.

A dilation produces a congruent figure.

• True

• False

In this figure, triangle TRS is the ​ (a)   , triangle T'R'S' is the ​ (b)   and a(n) ​ (c)   occurred.

• pre-image
• image
• enlargement
• reduction
• spin
• flip

Which of the following statements is true about the scale factor (k) for this dilation?

Quadrilateral NDPM was dilated to quadrilateral N'D'P'M'. What was the scale factor for this dilation?

• 2

• 3

• 1/3

• 1/2

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½
• ¼
• 4
• 2

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

• (12,0)

• (12,12)

• (4,3)

• (0,12)

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

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-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 new image?

• A'(5,3), B'(6,2), C'(1,-2)

• A'(6,0), B'(9,-3), C'(-6,-15)

• A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

• A'(-1,-3), B'(0,-4), C'(-5,-8)

State the coordinates of point A after a dilation, with the center of dilation at (0,0), and a scale factor of 1/2.

• (2,2)

• (8,8)

• (0,12)

• (4,12)

State the coordinates of point B after a dilation, with the center of dilation at the origin, and a scale factor of 1/2.

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)