Lesson 3: Practice Problems

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 $\frac{3}{2}$ .

Problem 2

Quadrilateral $A$ has side lengths 6, 9, 9, and 12. Quadrilateral $B$ is a scaled copy of Quadrilateral $A$ , with its shortest side of length 2. What is the perimeter of Quadrilateral $B$ ?

Problem 3

Here is a polygon on a grid.

Draw a scaled copy of this polygon that has a perimeter of 30 units. What is the scale factor? Explain how you know.

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.

Problem 4 From Unit 1 Lesson 1

Priya and Tyler are discussing the figures shown below. Priya thinks that B, C, and D are scaled copies of A. Tyler says B and D are scaled copies of A. Do you agree with Priya, or do you agree with Tyler? 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.