Exploring Geo Lesson 6-2 Concepts

What is the primary focus of today's lesson?

• Completing two-column proofs to prove theorems about segments and angles

• Solving algebraic equations

• Studying the properties of triangles

• Learning about different types of angles

What is the definition of vertical angles?

• Angles that are adjacent to each other

• Angles that are formed by a pair of intersecting lines and are opposite each other

• Angles that are on the same side of a transversal

• Angles that sum up to 90 degrees

Which property is used to show that the measure of angle 1 plus the measure of angle 3 equals the measure of angle 2 plus the measure of angle 3?

• Addition Property of Equality

• Subtraction Property of Equality

• Transitive Property

• Substitution Property

What is the final step in proving that vertical angles are congruent?

• Using the definition of supplementary angles

• Using the transitive property

• Using the substitution property

• Using the definition of congruent angles

What is the given information in the proof that all right angles are congruent?

• Angle A and Angle B are supplementary

• Angle A and Angle B are right angles

• Angle A and Angle B are vertical angles

• Angle A is congruent to Angle B

Which property can be used to show that the measure of angle A is equal to the measure of angle B?

• Transitive Property

• Substitution Property

• Subtraction Property of Equality

• Addition Property of Equality

What is the definition of a midpoint used for in the proof involving segment PQ and RS?

• To show that two angles are congruent

• To show that two lines are parallel

• To show that two angles are supplementary

• To show that two segments are congruent

What is the transitive property used for in the proof involving segment PQ and RS?

• To show that if A equals B and B equals C, then A equals C

• To show that if A is less than B and B is less than C, then A is less than C

• To show that if A plus B equals C, then A equals C minus B

• To show that if A is greater than B and B is greater than C, then A is greater than C

What is the first step in the proof that angle 1 and angle 2 are supplementary?

• Using the definition of supplementary angles

• Using the given information

• Using the transitive property

• Using the substitution property

What is the homework assignment for Miss Graham's class?

• Complete the proof on page 70

• Complete the proof on page 66

• Complete the proof on page 67

• Complete the proof on page 68