10 Cumulative Test Prep
Tips for Success
Some test questions require you to relate changes in lengths to changes in areas of similar figures. Read the sample question below. Then follow the tips to answer it.
The ratio of the areas of the two squares shown below is 4 : 9. What is the length of a side of the larger square?
Tip 1
The larger square must have a side length greater than that of the smaller square. You can eliminate any answer choices that are less than or equal to 6 in.
Tip 2
All squares are similar. The ratio of their areas is equal to the square of the ratio of their side lengths.
- 4 in.
- 9 in.
- 13.5 in.
- 36 in.
Think It Through
The ratio of the areas is 4 : 9.
The ratio of the side lengths is
Use a proportion to find the length s of the larger square.
The correct answer is B.
Vocabulary Builder
As you solve test items, you must understand the meanings of mathematical terms. Match each term with its mathematical meaning.
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Multiple Choice
Read each question. Then write the letter of the correct answer on your paper.
- What is the exact area of an equilateral triangle with sides of length 10 m?
-
- If
- (1, 5)
- (3, 3)
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- (3, 5)
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs