Scale Changes Review
Written by Adi Ackerman, Head Teacher
"Scale Changes Review" is written for 8th Grade (Ages 13-14). A 7th grader who is already steady on geometry can use it too, and an older student can use it as a short review.


8th grade math worksheet: match 10 scale change answers in a bank, like a perimeter tripled or an area growing from 10 m² to 250 m². Answer key included. Part of our composite figures and scale changes geometry collection.
How do I use this worksheet?
Teach shaded area first with Shaded Area Between Rectangles, then add circles and triangles. Move to Scale Changes and Perimeter before Scale Changes and Area so students see k and k² side by side.
What students will practice
- Students will tell how a perimeter changes by k and an area changes by k².
- Students will find a scale factor from an area that grows from 10 to 250 square meters.
- Students will match each answer to a letter in an Answer Bank with two extra values.


Name Angle Pairs Formed by a Transversal


Find Angles on Parallel Lines Cut by a Transversal


Solve for x With Transversal Angle Pairs


Triangle Angle Sum, Find the Missing Angle


Why Triangle Angles Sum to 180 Degrees


Quadrilateral Angle Sums From Two Triangles

Triangle Interior Angles, Solve for the Variable


Exterior Angle of a Triangle, Find the Measure
Curriculum Links
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FAQ
How do I use this composite figures and scale changes worksheet?
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Teach shaded area first with Shaded Area Between Rectangles, then add circles and triangles. Move to Scale Changes and Perimeter before Scale Changes and Area so students see k and k² side by side.
What does this worksheet teach?
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Match 10 scale change answers in a bank, like a perimeter tripled or an area growing from 10 m² to 250 m². The directions on the page read: Use the scale factor k. Perimeter is multiplied by k and area by k². Find each answer in the Answer Bank and write its letter in the box. Two bank values are not used. The page opens with a worked example, and an answer key is included.
Can I use this composite figures and scale changes worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you find the area of a shaded region?
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Find the area of the whole figure, then subtract the area of the white part. A 9 by 6 m rectangle with a 4 by 2.5 m white part has a shaded area of 54 minus 10, or 44 m². Shaded Area Between Rectangles has 6 figures like this.
What happens to the area when a figure is scaled by a factor of 3?
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The area is multiplied by 3², or 9, while the perimeter is multiplied by 3. A 3 ft by 5 ft rug enlarged by k = 3 grows from 15 ft² to 135 ft². Scale Change Word Problems opens with this example.
How do you find the scale factor from two areas?
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Write the ratio of the new area to the original area in simplest form, then take its square root. Areas of 44 cm² and 99 cm² give a ratio of 9/4, so k = 3/2. Find the Scale Factor From Area has 10 rows to complete.
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Name Angle Pairs Formed by a Transversal


Find Angles on Parallel Lines Cut by a Transversal


Solve for x With Transversal Angle Pairs


Triangle Angle Sum, Find the Missing Angle


Why Triangle Angles Sum to 180 Degrees


Quadrilateral Angle Sums From Two Triangles

Triangle Interior Angles, Solve for the Variable


Exterior Angle of a Triangle, Find the Measure