Geometry 5.1

Front

What is the Exterior Angle Theorem?

Back

The Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

How do you solve for x using the Exterior Angle Theorem?

Back

To solve for x using the Exterior Angle Theorem, identify the exterior angle and the two non-adjacent interior angles, set up the equation: exterior angle = interior angle 1 + interior angle 2, and solve for x.

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

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

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.

Front

How do you find the height of a triangle if you know the area and the base?

Back

Rearrange the area formula: height = (2 * Area) / base.

Front

What is a complementary angle?

Back

Complementary angles are two angles whose measures add up to 90 degrees.

Front

What is a supplementary angle?

Back

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

Front

If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle?

Back

The other angle measures 60 degrees (90 - 30 = 60).

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): a² + b² = c².