Making Scaled Copies

Warmup

Activity #1

Draw Scaled Copies of a Figure.

• Draw a scaled copy of Figure A and Figure B using a scale factor of 3.​

• Draw a scaled copy of Figure C and Figure D using a scale factor of .​

Activity #2

Draw More Scaled Copies of a Figure.

• Read the story below and answer the questions that follow.

Diego and Jada want to scale the polygon below so the side that corresponds to 15 units in the original is 5 units in the scaled copy. They each use a different operation to find the new side lengths. Their finished drawings are found below.

(2.) Choose the correct answers below.

Andre wants to make a scaled copy of Jada’s drawing so the side that corresponds to 4 units in Jada’s polygon is 8 units in his scaled copy. Andre says “I wonder if I should add 4 units to the lengths of all of the segments?”

(4.) What would you say in response to Andre? Explain or show your reasoning.

• Create the scaled copy that Andre wants on the applet below.

The side lengths of Triangle B are all 5 more than the side lengths of Triangle A. Can Triangle B be a scaled copy of Triangle A? Explain your reasoning.

Activity #3

Draw More Scaled Copies of a Figure.

• If it is helpful, use the coordinate grid below to draw the two figures described.​

(1.) 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.

• Draw a scaled copy of Polygon A below using a scale factor of 2.

• Draw a scaled copy of Polygon B below using a scale factor of 1/2.

• Draw a scaled copy of Polygon C below using a scale factor of 3/2.

Challenge #1

Here below is a polygon on a grid.

(1.) Draw a scaled copy of the polygon in the applet above, that has a perimeter of 30 units.

Challenge #2

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.

Challenge #3

Quiz Time