Dilations (enlargements) from the origin
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.3, 8.G.A.4 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures
Name
Date
Score/ 16
Question 1
Dilate (0, −5) by a scale factor of 4 with centre the origin. Type the image like (2, −3).
Answer
Question 2
A(16, 12) is dilated about the origin to A′(24, 18). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 3
A 3 by 4 rectangle is dilated by scale factor 4. What is the perimeter of the image?
Answer
Question 4
Dilate (2, −1) by a scale factor of 4 with centre the origin. Type the image like (2, −3).
Answer
Question 5
A(−4, 4) is dilated about the origin to A′(−10, 10). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 6
A 6 by 3 rectangle is dilated by scale factor 3. What is the perimeter of the image?
Answer
Question 7
Dilate (−4, 2) by a scale factor of 4 with centre the origin. Type the image like (2, −3).
Answer
Question 8
A(−12, −4) is dilated about the origin to A′(−18, −6). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 9
A 2 by 4 rectangle is dilated by scale factor 3. What is the area of the image?
Answer
Question 10
Dilate (−2, −5) by a scale factor of 3 with centre the origin. Type the image like (2, −3).
Answer
Question 11
A(8, −16) is dilated about the origin to A′(12, −24). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 12
A 4 by 4 rectangle is dilated by scale factor 3. What is the area of the image?
Answer
Question 13
Dilate (3, −4) by a scale factor of 2 with centre the origin. Type the image like (2, −3).
Answer
Question 14
A(−8, 16) is dilated about the origin to A′(−20, 40). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 15
A 3 by 3 rectangle is dilated by scale factor 3. What is the area of the image?
Answer
Question 16
Dilate (−2, −1) by a scale factor of 4 with centre the origin. Type the image like (2, −3).
Answer
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