Exploring Two Column Proofs in Geometry

What is the first step in a two column proof?

• Draw a diagram

• Write the given statements

• Write the conclusion

• Identify the properties

Which property states that if angle A is congruent to angle B and angle B is congruent to angle C, then angle A is congruent to angle C?

• Substitution Property

• Symmetric Property

• Reflexive Property

• Transitive Property

What is the reason for stating that angle 2 is congruent to angle 3 when they are vertical angles?

• Vertical angles are congruent

• Supplementary angles are congruent

• Complementary angles are congruent

• Adjacent angles are congruent

If angle 1 is supplementary to angle 2, and angle 3 is supplementary to angle 4, what can be inferred if angle 1 is congruent to angle 4?

• Angle 2 is congruent to angle 4

• Angle 2 is congruent to angle 3

• Angle 1 is congruent to angle 3

• Angle 3 is congruent to angle 1

What is the measure of angle 2 if angle 1 is 100 degrees and angle 1 is supplementary to angle 2?

• 60 degrees

• 120 degrees

• 80 degrees

• 100 degrees

What is the reason for stating that supplements of congruent angles are congruent?

• Adjacent angles are congruent

• Supplements of congruent angles are congruent

• Supplementary angles are congruent

• Vertical angles are congruent

In the angle addition postulate, what is the measure of angle BAC if it is the sum of angles 1 and 2?

• The measure of angle 3 plus the measure of angle 4

• The measure of angle 2 plus the measure of angle 4

• The measure of angle 1 plus the measure of angle 3

• The measure of angle 1 plus the measure of angle 2

What property allows us to state that the measure of angle 1 plus the measure of angle 2 is equal to the measure of angle 3 plus the measure of angle 4?

• Substitution Property

• Subtraction Property

• Transitive Property

• Addition Property

What is the final step in proving that angle 1 is congruent to angle 3?

• Using the subtraction property

• Using the definition of congruent angles

• Using the angle addition postulate

• Using the transitive property

What is the reason for subtracting angle 2 from both sides in the proof?

• Because angle 1 is congruent to angle 4

• Because angle 2 is congruent to angle 3

• Because angle 1 is equal to angle 3

• Because angle 2 is equal to angle 4