Math Problem Statement

Two figures are similar if they have the exact same shape and their corresponding sides are proportional. The corresponding side lengths of the two figures are related by a scale factor. A scale factor is the constant number you can multiply any side length in one figure by to find the corresponding side length of the similar figure. Figure A 2 vertical by 3 horizontal graph Figure B 4 vertical units by 6 horizontal units In this problem, you will verify that the two rectangles are similar and find the scale factor from each figure to the other. Since rectangles have two sets of equal parallel sides, we will only need to find the ratios for two sets of sides; the horizontal and vertical lengths. If these ratios are equal, the rectangles are similar.

Note: In some cases, the simplified and unsimplifed ratios may be equal. Find the ratio:

Unsimplified:

Simplified:

Find the ratio:

Unsimplified:

Simplified:

Find the ratio:

Unsimplified:

Simplified:

Find the ratio:

Unsimplified:

Simplified:

To scale Figure A to the size of Figure B, multiply the length of each side of Figure A by the scale factor of

To scale Figure B to the size of Figure A, multiply the length of each side of Figure B by the scale factor of

Solution

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Similarity
Ratios
Proportionality

Formulas

Ratio of corresponding sides: side_A / side_B
Scale factor: side_B / side_A

Theorems

Similarity of Rectangles Theorem

Suitable Grade Level

Grades 6-8