Review Fall Final Exam Part 3

Front

What does the Vertical Angles Theorem state?

Back

The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are equal.

Front

How do you calculate the perimeter of a triangle given the lengths of its sides?

Back

The perimeter of a triangle is calculated by adding the lengths of all three sides together.

Front

What is the AAS (Angle-Angle-Side) congruence theorem?

Back

The AAS theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Front

What is the ASA (Angle-Side-Angle) congruence theorem?

Back

The ASA theorem states that if two angles and the included side of one triangle are equal to two angles and the corresponding included side of another triangle, then the two triangles are congruent.

Front

What is the HL (Hypotenuse-Leg) theorem?

Back

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What is the SAS (Side-Angle-Side) congruence theorem?

Back

The SAS theorem states that if two sides and the included angle of one triangle are equal to two sides and the corresponding included angle of another triangle, then the two triangles are congruent.

Front

How do you determine the possible lengths of the third side of a triangle given two sides?

Back

The length of the third side must be greater than the difference of the two sides and less than the sum of the two sides. This is known as the triangle inequality theorem.

Front

If the lengths of two sides of a triangle are 25 inches and 52 inches, what is the inequality for the third side?

Back

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and half its length.

Front

If the midsegment of a triangle is 5 units long, what does this imply about the length of the side it is parallel to?

Back

The side it is parallel to is 10 units long, as the midsegment is half the length of that side.