Geometry Unit 4 Test Review (24-25)

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). Formula: a² + b² = c².

Front

How do you find the height of a tree using the angle of elevation?

Back

To find the height of a tree using the angle of elevation, use the formula: height = distance * tan(angle). For example, if the distance is 92 feet and the angle is 20°, height = 92 * tan(20°) = 33.49 feet.

Front

What is the relationship between the sides of a triangle?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. This is known as the triangle inequality theorem.

Front

What is the formula for the length of the hypotenuse in a right triangle?

Back

The length of the hypotenuse (c) can be found using the Pythagorean theorem: c = √(a² + b²), where a and b are the lengths of the other two sides.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the significance of the angle sum property in triangles?

Back

The angle sum property states that the sum of the interior angles of a triangle is always 180 degrees.

Front

How can you determine if three lengths can form a triangle?

Back

To determine if three lengths can form a triangle, check if the sum of the lengths of any two sides is greater than the length of the third side.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.

Front

What is the definition of complementary angles?

Back

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

Front

What is the definition of supplementary angles?

Back

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