Exterior Angle Theorem and Properties

The video tutorial provides a detailed proof of the exterior angle theorem, which states that the sum of the remote interior angles is equal to the non-adjacent exterior angle. The proof involves using the triangle sum theorem and the transitive property to connect equations, ultimately demonstrating that the measure of angle A plus the measure of angle C equals the measure of angle CBD. The tutorial guides viewers through the logical steps and properties used in the proof, including the subtraction property of equality.

What does the exterior angle theorem state about the relationship between the exterior angle and the remote interior angles?

• The exterior angle is equal to the product of the remote interior angles.

• The exterior angle is equal to the difference of the remote interior angles.

• The exterior angle is equal to the sum of the remote interior angles.

• The exterior angle is equal to the sum of the adjacent interior angles.

Tags

CCSS.8.G.A.5

What is the main goal of the video tutorial?

• To disprove the exterior angle theorem

• To define the exterior angle theorem

• To prove the exterior angle theorem

• To apply the exterior angle theorem

Tags

CCSS.8.G.A.5

Which theorem is used to establish that the sum of angles in a triangle is 180 degrees?

• Linear Pair Theorem

• Pythagorean Theorem

• Triangle Sum Theorem

• Exterior Angle Theorem

Tags

CCSS.7.G.B.5

What is the sum of the measures of angles in a linear pair?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Tags

CCSS.7.G.B.5

Which angles form a linear pair in the proof?

• Angles 1 and 2

• Angles 2 and 3

• Angles 3 and 4

• Angles 1 and 4

Tags

CCSS.8.G.A.5

What theorem is used to state that the sum of angles one, two, and three is 180 degrees?

• Triangle Sum Theorem

• Angle Bisector Theorem

• Exterior Angle Theorem

• Linear Pair Theorem

In the proof setup, which angle is identified using three vertices due to multiple angles at the same vertex?

• Angle D

• Angle B

• Angle C

• Angle A

What property allows us to equate two expressions both equal to 180 degrees?

• Associative Property

• Commutative Property

• Transitive Property

• Distributive Property

Which property is used to subtract the measure of angle ABC from both sides of the equation?

• Subtraction Property of Equality

• Multiplication Property of Equality

• Addition Property of Equality

• Division Property of Equality

Tags

CCSS.4.MD.C.7

What is the measure of angle A plus the measure of angle C equal to, according to the proof?

• Measure of angle BAC

• Measure of angle DBC

• Measure of angle CBD

• Measure of angle ABC

Tags

CCSS.4.MD.C.7