Distance and Right Triangles Quiz

Use the coordinate grid plane to find the distance between the points (-5, 6) and (3, 2). Round to the nearest hundredth.

• 3.2

• 8.94

• -5.6

• 3.6

Based on the converse of the Pythagorean Theorem, which of the following sets of side lengths is not a right triangle?

• 6^2 + 8^2 = 10^2

• 10^2 + 24^2 = 26^2

• 2^2 + 3^2 = 4^2

• 3^2 + 4^2 = 5^2

Which of the following correctly uses the Pythagorean Theorem to find the missing side x?

• x^2 + 6^2 = 10^2

• x + 6 = 10

• 6^2 + 10^2 = x^2

• x^2 + 10^2 = 6^2

The Pythagorean Theorem can only be used on which type of triangles?

• scalene

• isosceles

• right

• obtuse

A triangle has sides with lengths of 15 m, 20 m, and 25 m. Is it a right triangle?

• Yes

• No

The length of one side of a right triangle is shown in this diagram as 6 inches. What could be the lengths of the two remaining sides of the triangle?

• 2 inches and 8 inches

• 8 inches and 10 inches

• 8 inches and 14 inches

• 10 inches and 14 inches

What is the volume of this cylinder? Use π=3.14 and round your answer to the nearest whole number.

• 791 m^3

• 198 m^2

• 198 m^3

• 462 m^3

What is the volume of the sphere shown below? Use π=3.14.

• 109,874.88 cubic centimeters

• 195,333.12 cubic centimeters

• 195,510.86 cubic centimeters

• 1,562,664.96 cubic centimeters

Find the volume of a sphere of radius 6 m.

• 905 m^3

• 942 m^3

• 760 m^3

• 785 m^3

What is the approximate volume of the cone shown in the diagram?

• 70 cm³

• 183 cm³

• 549 cm³

• 733 cm³