Dilations in the Coordinate Plane Warmup 4

Dilate Point C by a scale factor of 3:

• (6,9)

• (3,2)

• (4,3)

• (9,6)

Answer explanation

To dilate Point C (3,2) by a scale factor of 3, multiply both coordinates by 3: (3*3, 2*3) = (9,6). Thus, the correct answer is (9,6).

Tags

CCSS.8.G.A.3

Choose the correct scale factor:

• 2.5

• 1.5

• 3.5

• 4

Answer explanation

The correct scale factor is 1.5 because it accurately represents the proportional increase or decrease in size. The other options do not maintain the same ratio, making 1.5 the only valid choice.

Tags

CCSS.7.G.A.1

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)

Answer explanation

To find the image of point B (-10,-6) under dilation with center at the origin and scale factor k = 1/2, multiply each coordinate by k: (-10 * 1/2, -6 * 1/2) = (-5, -3). Thus, the correct answer is (-5,-3).

Tags

CCSS.8.G.A.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'?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

a

b

Tags

TEKS 8.3C

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).

Answer explanation

To find the scale factor, divide the coordinates of A' by those of A: A' = (x, y) = (–4 * k, 3.2 * k). Solving gives k = 2.5. For point C, apply the scale factor to its pre-image coordinates, resulting in C' = (–2.4, –0.8).

Tags

CCSS.8.G.A.3