FY Geometry Unit 4 Test Review (24-25)

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

Can a triangle be formed with angles 55°, 60°, and 85°?

Back

Yes, because the sum is 200°, which is greater than 180°, so it cannot form a triangle.

Front

What is the condition for constructing a triangle using angles?

Back

The sum of the angles must equal 180 degrees.

Front

What is the formula to find the height of a tree using angle of elevation?

Back

Height = Distance * tan(angle of elevation).

Front

If the angle of elevation to a tree is 20° and the distance from the tree is 92 feet, how do you calculate the height?

Back

Height = 92 * tan(20°) ≈ 33.49 feet.

Front

What is the definition of complementary angles?

Back

Complementary angles are two angles whose sum is 90 degrees.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose sum is 180 degrees.

Front

How do you solve for x in a triangle?

Back

Use the Triangle Sum Theorem or other geometric properties to find the missing angle or side.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

What is the definition of a right triangle?

Back

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