Common Core 8.G.A.4 worksheet
9th grade (Year 10 in England) · 16 questions · Common Core: 8.G.A.4, HSG.SRT.A.2, HSG.SRT.B.5, 8.G.A.3 · England: GCSE Foundation Geometry, GCSE Higher Geometry, KS3 Geometry and measures
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Date
Score/ 16
Question 1
Triangles ABC and DEF are similar. AB = 5 cm, BC = 11 cm and DE = 7.5 cm. Find EF in cm.
Answer
Question 2
A(−12, −4) is dilated about the origin to A′(−6, −2). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 3
Dilate (2, 3) by a scale factor of 3 with centre the origin. Type the image like (2, −3).
Answer
Question 4
Mei is 3 m tall and casts a 2.5 m shadow. At the same moment a tree casts a 16 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
Answer
Question 5
Two triangles are similar. The small one has sides 2 cm and 4 cm. The matching side to 2 cm on the large triangle is 4 cm. How long is the side matching 4 cm?
Answer
Question 6
Two similar solids have a length scale factor of 4. The smaller has volume 11 cm³. What is the volume of the larger, in cm³?
Answer
Question 7
A 6 by 5 rectangle is dilated by scale factor 3. What is the perimeter of the image?
Answer
Question 8
Triangles ABC and DEF are similar. AB = 6 cm, BC = 4 cm and DE = 15 cm. Find EF in cm.
Answer
Question 9
A(8, −16) is dilated about the origin to A′(4, −8). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
Question 10
Dilate (5, −2) by a scale factor of 3 with centre the origin. Type the image like (2, −3).
Answer
Question 11
Zara is 3.5 m tall and casts a 1.5 m shadow. At the same moment a tree casts a 9 m shadow. How tall is the tree, in m? Round to 1 decimal place if needed.
Answer
Question 12
Two triangles are similar. The small one has sides 6 cm and 7 cm. The matching side to 6 cm on the large triangle is 24 cm. How long is the side matching 7 cm?
Answer
Question 13
Two similar solids have a length scale factor of 5. The smaller has volume 7 cm³. What is the volume of the larger, in cm³?
Answer
Question 14
A 4 by 3 rectangle is dilated by scale factor 3. What is the perimeter of the image?
Answer
Question 15
Triangles ABC and DEF are similar. AB = 8 cm, BC = 6 cm and DE = 32 cm. Find EF in cm.
Answer
Question 16
A(−12, 4) is dilated about the origin to A′(−9, 3). What is the scale factor? Give a fraction or decimal.
Answer(as a fraction)
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