geometry semester exam

Front

What is the relationship between the legs and hypotenuse in a 45-45-90 triangle?

Back

In a 45-45-90 triangle, the length of the hypotenuse is equal to the length of a leg multiplied by √2.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property states that if two values are equal, they can be expressed in either order.

Front

What are the side lengths in a 30-60-90 triangle if the shorter leg is 8?

Back

In a 30-60-90 triangle, if the shorter leg (u) is 8, then the longer leg (v) is 8√3 and the hypotenuse is 16.

Front

How do you find the value of x in a triangle?

Back

To find the value of x in a triangle, use the properties of angles and sides, such as the sum of angles in a triangle equals 180°.

Front

What does Side-Side-Side (SSS) congruence mean?

Back

Two triangles are congruent if all three sides of one triangle are equal to the three sides of another 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

What is the Pythagorean Theorem?

Back

In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning their corresponding sides and angles are equal.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

What is the definition of a right triangle?

Back

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