Geometry Benchmark

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

Back

Set the equations equal to each other: 11x - 9 = 7x + 9. Solve for x to find x = 4.5.

Front

What is the measure of the missing angle if the options are 64°, 26°, 61°, and 0.008°?

Back

The measure of the missing angle is 26°.

Front

How many lines of symmetry does a shape with 2 lines of symmetry have?

Back

A shape with 2 lines of symmetry can be folded along those lines to create mirror images.

Front

What is the angle of elevation?

Back

The angle of elevation is the angle formed by a horizontal line and the line of sight to an object above the horizontal line.

Front

If a yacht is 90 feet offshore and the angle of elevation to the top of a lighthouse is 26 degrees, how do you find the height of the lighthouse?

Back

Use the tangent function: height = 90 * tan(26°). The height is approximately 43 feet.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is a right angle?

Back

A right angle is an angle that measures exactly 90 degrees.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.