Geometry Proofs Quiz

Why is it helpful to sketch a diagram when writing certain proofs?

• To make the proof look more professional

• To waste time

• To visualize the problem and understand the relationships between geometric figures

• To confuse the reader

What is the purpose of flowchart proofs in geometry?

• To make the proof more complicated

• To show the flow of a logical argument using boxes and arrows

• To confuse the reader

• To prove theorems using only words

What is the advantage of using paragraph proofs in geometry?

• They are not used in geometry

• They are not as effective as other proof formats

• They are longer and more confusing

• They are easier to understand than other proof formats

What is the purpose of the Linear Pair Postulate in geometry?

• To justify the statement that angles that form linear pairs are complementary

• To find the graph of an equation

• To prove the third angle Theorem

• To justify the statement that angles that form linear pairs are supplementary

What is the purpose of the Congruent Supplements Theorem in geometry?

• To prove the Vertical Angles Congruence Theorem

• To show that supplementary angles are linear pairs.

• To make geometry more complicated

• To show when two angles supplement the same third angle, they are congruent.

What is the purpose of the Transitive Property of Angle Congruence in geometry?

• To explain the relationship between 3 pairs of congruent angles when one angle is congruent to 3 others

• To explain the relationship between two congruent angles

• To prove Angle Congruence Theorem

• To explain the relationship between 2 pairs of congruent angles when one angle is congruent to 2 others

When might you use the Subtraction Property of Equality in geometry?

• To justify a step in a proof involving multiplying both sides of an equation.

• To justify a statement in a proof involving subtracting from both sides of an equation.

• To prove the Angle Subtraction Theorem

• As a "statement" in a proof

What is the purpose of the Addition Property of Equality in geometry?

• It can be used as a "statement" in a proof to justify adding a value to each side of an equation.

• To make geometry more difficult

• To prove the Vertical Angles Congruence Theorem

• It can be used as a "reason" in a proof to justify adding a value to each side of an equation.

What might you use the Definition of Complementary Angles for in a geometric proof?

• To prove the Vertical Angles Congruence Theorem

• To justify the statement that two complementary angles add up to 180 degrees.

• To explain the relationship between angles

• To justify the statement that two complementary angles add up to 90 degrees.

What might you use the Definition of Supplementary Angles for in a geometric proof?

• To justify the statement that two supplementary angles add up to 180 degrees

• To justify the statement that two supplementary angles add up to 90 degrees

• To explain the relationship between all adjacent angles

• To make geometry more difficult