Pythagorean Theorem Test

Which statement is true?

• The sum of the areas of Square D and Square F are less than the area of Square E

• The sum of the areas of Square D and Square E are greater than the area of Square F

• The sum of the areas of Square D and Square F is equal to the area of Square E

• The sum of the areas of Square D and Square E is equal to the area of Square F

Which group of three squares will form a right triangle when joined at their vertices?

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Determine whether the triangle with each set of side lengths is a right triangle or not a right triangle.

Groups:

(a) Right Triangle

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(b) Not a right triangle

• 6,8,9

• 24,45,51

• 10,24,26

The diagram represents a side view of a roof in the shape of a right triangle. Which measurement is closest to the length of the roof in feet?

• 5.1 ft

• 16.1 ft

• 26.0 ft

• 19.7 ft

Parallelogram PQRT is shown. Which statement proves that parallelogram PQRT is a rectangle?

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Which measurements could represent the side lengths in feet of a right triangle?

• 10 ft, 24 ft, 26 ft

• 14 ft, 14 ft, 14 ft

• 3 ft, 3 ft, 18 ft

• 2 ft, 3 ft, 5 ft

A 10 foot ladder is leaning against a wall. The bottom of the ladder is 4 feet from the base of the wall as shown in the diagram. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9 ft

• 11 ft

• 6 ft

• 14 ft

In the drawing, the dashed line segment represents the distance across a pond. What is the actual distance, in yards, across the pond?

Mathematical Equivalence

ON

Two coordinates are shown on a coordinate grid. Which measurement is closest to the distance between points K and L?

• 7 units

• 5 units

• 10 units

• 20 units

The coordinates of the vertices of a rectangle are A(5,3), B(5,-9), C(-1,-9), and D(-1,3). Which measurement is closest to the distance between point B and point D in units?

• 5.8 units

• 13.4 units

• 10.4 units

• 9.1 units