Geometry

Question 1

Define perimeter.

Answer 1

The total distance around a 2D shape.

Question 2

What is the formula for the area of a rectangle?

Answer 2

Length multiplied by width.

Question 3

True or false: The Pythagorean theorem applies to all triangles.

Answer 3

FALSE

It only applies to right triangles.

Question 4

Fill in the blank: The area of a circle is π times the square of the ______.

Answer 4

radius

Question 5

What is the formula for the volume of a cylinder?

Answer 5

π times the radius squared times the height.

Question 6

Define circumference.

Answer 6

The distance around a circle.

Question 7

What is the formula for the area of a triangle?

Answer 7

One-half times the base times the height.

Question 8

True or false: The diagonal of a rectangle can be found using the Pythagorean theorem.

Answer 8

TRUE

The diagonal is the hypotenuse of the right triangle formed.

Question 9

Fill in the blank: The perimeter of a square is 4 times the ______.

Answer 9

side length

Question 10

What is the formula for the area of a parallelogram?

Answer 10

Base times height.

Question 11

Define volume.

Answer 11

The amount of space an object occupies.

Question 12

What is the formula for the perimeter of a triangle?

Answer 12

Sum of the lengths of all three sides.

Question 13

True or false: The area of a trapezoid is the average of the bases times the height.

Answer 13

TRUE

Area = (Base1 + Base2) / 2 * Height.

Question 14

Fill in the blank: The volume of a cube is the side length raised to the ______.

Answer 14

third power

Question 15

What is the formula for the area of a sector?

Answer 15

θ/360 times π times the radius squared.

Question 16

Define right triangle.

Answer 16

A triangle with one angle measuring 90 degrees.

Question 17

What is the formula for the perimeter of a rectangle?

Answer 17

2 times the length plus 2 times the width.

Question 18

True or false: The Pythagorean theorem states a² + b² = c².

Answer 18

TRUE

Question 19

Fill in the blank: The area of a square is the side length ______.

Answer 19

squared

Question 20

What is the formula for the volume of a sphere?

Answer 20

4/3 times π times the radius cubed.

Question 21

Define isosceles triangle.

Answer 21

A triangle with at least two sides of equal length.

Question 22

What is the formula for the area of a rhombus?

Answer 22

One-half times the product of the diagonals.

Question 23

True or false: The circumference of a circle is 2π times the radius.

Answer 23

TRUE

Question 24

Fill in the blank: The height of a triangle is the perpendicular distance from the base to the ______.

Answer 24

opposite vertex

Question 25

What is the formula for the **volume** of a rectangular prism?

Answer 25

Length times width times height.

Question 26

Define **acute triangle**.

Answer 26

A triangle where all angles are less than 90 degrees.

Question 27

What is the formula for the **area** of a trapezoid?

Answer 27

One-half times the sum of the bases times the height.