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Scaled Copies: Scale Factor, Angles & Area — Easy Worksheet 2
Grade 7 · MathSheets Name: ____________________ Date: __________
Use the scale factor. Remember: lengths are multiplied by the scale factor, angles stay the same, and areas are multiplied by the scale factor squared.
How to solve
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Example
A rectangle is 2 cm by 6 cm. A scaled copy is 4 cm by 12 cm. What is the scale factor?
Answer: 2
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
One angle of a figure measures 70°. The figure is copied with scale factor 12. What does the matching angle in the copy measure, in degrees?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
Is a 3 cm by 2 cm rectangle a scaled copy of a 6 cm by 4 cm rectangle? Write yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
Is a 17 cm by 18 cm rectangle a scaled copy of a 5 cm by 6 cm rectangle? Write yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
A triangle has sides 5 cm, 3 cm and 4 cm. It is copied with scale factor 4. How long is the copy of the 4 cm side, in cm?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
A rectangle is 2 cm by 6 cm. A scaled copy is 1 cm by 3 cm. What is the scale factor?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
One angle of a figure measures 15°. The figure is copied with scale factor 12. What does the matching angle in the copy measure, in degrees?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
Is a 3 cm by 15 cm rectangle a scaled copy of a 1 cm by 5 cm rectangle? Write yes or no.
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
✓ Correct!
Not quite. The answer is
💡 How to solve: Scaled Copies: Scale Factor, Angles & Area
In a scaled copy every length is multiplied by the same scale factor. Scale factor = copy length ÷ original length. Angles do not change. Area is multiplied by the scale factor twice: with scale factor 3, a 2-by-4 rectangle (area 8) becomes 6-by-12 (area 72 = 8 × 9). A scale like 1 to 50,000 means 1 cm on the map is 50,000 cm (500 m) in real life.
Try a similar one
A rectangle is 2 cm by 8 cm. A scaled copy is 4 cm by 16 cm. What is the scale factor?
✓ You've got it! Press Next to keep going. Not yet — the answer is . Read the steps above once more.
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Scaled Copies: Scale Factor, Angles & Area — Easy Worksheet 2
Use the scale factor. Remember: lengths are multiplied by the scale factor, angles stay the same, and areas are multiplied by the scale factor squared.