Dilations (enlargements) from the origin

Question 1

A(−4, −12) is dilated about the origin to A′(−10, −30). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)

Question 2

Dilate (4, 2) by a scale factor of 2 with centre the origin. Type the image like (2, −3).

Answer 

Question 3

A 5 by 3 rectangle is dilated by scale factor 3. What is the area of the image?

Answer 

Question 4

A(−8, 4) is dilated about the origin to A′(−4, 2). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)

Question 5

Dilate (−5, −4) by a scale factor of 2 with centre the origin. Type the image like (2, −3).

Answer 

Question 6

A 5 by 3 rectangle is dilated by scale factor 4. What is the perimeter of the image?

Answer 

Question 7

A(8, −12) is dilated about the origin to A′(12, −18). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)

Question 8

Dilate (−4, −1) by a scale factor of 2 with centre the origin. Type the image like (2, −3).

Answer 

Question 9

A 4 by 6 rectangle is dilated by scale factor 4. What is the area of the image?

Answer 

Question 10

A(−16, −4) is dilated about the origin to A′(−40, −10). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)

Question 11

Dilate (−1, 4) by a scale factor of 2 with centre the origin. Type the image like (2, −3).

Answer 

Question 12

A 5 by 2 rectangle is dilated by scale factor 3. What is the area of the image?

Answer 

Question 13

A(−8, −4) is dilated about the origin to A′(−6, −3). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)

Question 14

Dilate (5, 5) by a scale factor of 3 with centre the origin. Type the image like (2, −3).

Answer 

Question 15

A 6 by 2 rectangle is dilated by scale factor 4. What is the area of the image?

Answer 

Question 16

A(−16, −4) is dilated about the origin to A′(−8, −2). What is the scale factor? Give a fraction or decimal.

Answer (as a fraction)