Dilations Assignment and Quiz

Line segment AB was dilated to create line segment A'B' using the dilation rule DQ,0.15. What is x, the distance between points A and A'?

13.6 units

Line segment SU is dilated to create S'U' using point Q as the center of dilation. The scale factor of the dilation is

2

Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. What is OB'?

2 units

The scale factor of the dilation of segment HG is 1/6. If PG' equals 0.5 units, PG equals __ units.

3

A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation?

The image will be congruent to the pre-image because n = 1

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Check all that apply.

The triangle pre-image is closer to the point of dilation than the image. The value of the scale factor, 6, is greater than 1.

Triangle BCD was dilated using the rule . What are the values of the unknown measures?

m∠C'B'D' = 95° CQ = 6 B'D' = 11

Line segment XY is dilated to create line segment X'Y' using point T as the center of dilation. What is YT?

12 units

Rectangle WXYZ was dilated using the rule DZ, 12/5. What is W'X'?

12 units

Triangle ABC is dilated to create triangle A'B'C' using point O as the center of dilation. What is the scale factor of the dilation?

4

A triangle is dilated by a scale factor of n = 1/3. Which statement is true regarding the dilation?

It is a reduction because 0 < n < 1.

Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter's room. What will be the area of the enlarged picture on the wall?

486 in.2

Triangle JKL was dilated using the rule DM, 1/3. The image, triangle J'K'L', is the result of the dilation. What is L'L?

5 units

Line segment LM is dilated to create L'M' using point Q as the center of dilation and a scale factor of 2. What is the length of segment QM'?

6

Line segment SU is dilated to create S'U' using the dilation rule DQ,2.5. What is the distance, x, between points U' and U?

6 units

Sylvia enlarged a photo to make a 24 x 32 inch poster using the dilation DQ,4. What are the dimensions, in inches, of the original photo?

6 × 8

Jeremy wants to verify that the transformation shown is a dilation. He finds the lengths of segments QA and AD to be 4 units. To verify that the transformation is a dilation, Jeremy should also check which of the following? Check all that apply.

QB = 1/2QE QC = CF DE = 2AB

Dilation DV, 2/5 was performed on a rectangle. How does the image relate to the pre-image? Check all that apply.

The image is a reduction because 0 < n < 1. The side lengths of the image are two-fifths the size of the corresponding side lengths of the pre-image. The base of the image is two-fifths the size of the base of the pre-image.

Rectangle LMNP was dilated using the rule DP,3. Which statements are true? Check all that apply.

The length of line segment M'N' is 18 units. The dilation is an enlargement. The scale factor is 3.