Unit 5, Lesson 5
Scaling and Unscaling
Geometry
Practice
Problem 3
A triangle has an area of 6 square inches and a perimeter of 12 inches. Suppose it is dilated by some scale factor, and the area and perimeter of the image are calculated. Match each graph with the relationship it represents.
Graph AA graph. X axis from 0 to 70 by 10’s. Y axis from 0 to 3 by 1’s. Line begins at the origin, moves upward and to the right through about 10 comma 1 point 2 5, 40 comma 2 point 5, and ends around 80 comma 3 point 5.
Graph BA graph. X axis from 0 to 70 by 10’s. Y axis from 0 to 7 by 1’s. Line begins at the origin and moves upward and to the right through about 10 comma point 7 5, 30 comma 2 point 5, and ends around 80 comma 6 point 5.
Graph CA graph. X axis from 0 to 7 by 1’s. Y axis from 0 to 70 by 10’s. Line begins at the origin and moves upward and to the right through about 1 comma 12, 3 comma 35, and ends around 6 point 5 comma 80.
Graph DA graph. X axis from 0 to 3 by 1’s. Y axis from 0 to 70 by 10’s. Line begins at the origin, moves upward and to the right through about point 5 comma 5, 2 point 5 comma 25, and ends around 3 point 5 comma 80.