Dilations

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?

In this figure, triangle ABC is the ​ (a)   and triangle A'B'C' is the ​ (b)   . The scale factor for this dilation is ​ (c)   . A(n) ​ (d)   occurred.

• pre-image
• image
• 2
• reduction
• enlargement
• None of the above
• 1/2

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)

What is the correct scale factor for this dilation?

• 2.5

• 1.5

• 3.5

• 4

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

• (-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)