Unit 1, Lesson 3
Making Scaled Copies
Grade 7
Practice
Problem 1
Here are 3 polygons.
Three polygons labeled A, B, and C. Figure A is a right, scalene triangle resting on its horizontal shorter leg. Figure B is a quadrilateral with two pairs of sides of equal lengths. The shorter sides make a V shape and the longer sides make an upside-down V shape. Figure C is a parallelogram resting on one of its longer sides, tilted to the right.
Draw a scaled copy of Polygon A using a scale factor of 2.
Draw a scaled copy of Polygon B using a scale factor of \(\frac{1}{2}\).
Draw a scaled copy of Polygon C using a scale factor of \(\frac{3}{2}\).
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Problem 3
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Draw a scaled copy of this polygon so that the scaled copy has a perimeter of 30 units.
An L shaped figure on a square grid. The polygon is composed of two shapes: a rectangle adjoined with a square so that the bottom horizontal base of the polygon is 2 units. The rectangle is 1 unit wide and 3 units in length. The square is 1 unit wide and 1 unit in length. -
What is the scale factor? Explain how you know.
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Problem 4
Priya and Tyler are discussing the figures.
- Priya says B, C, and D are scaled copies of A.
- Tyler says B and D are scaled copies of A.
Do you agree with either of them? Explain your reasoning.
Four shapes that look like plus signs. Shape A is one square with a square appended to each side. Shape B is one square with a 1 by 2 rectangle appended to each side. Shape C is a 2 by 2 square with a 1 by 2 rectangle appended to each side. Shape D is a 2 by 2 square with a 2 by 2 square appended to each side.
Problem 5
Persian people made khatam by gluing many small pieces of wood together. Find a pair of figures in the design that are scaled copies. Outline the two figures, and give the scale factor.