Exploring Geometric Proofs Fundamentals

What is the definition of a midpoint?

• A point that is at the end of a segment

• A point that divides an angle into two equal parts

• A point that divides a segment into two equal parts

• A point that is at the center of a circle

What do complementary angles add up to?

• 360 degrees

• 90 degrees

• 180 degrees

• 45 degrees

What is the measure of a right angle?

• 45 degrees

• 120 degrees

• 60 degrees

• 90 degrees

What does the vertical angle theorem state?

• Vertical angles are complementary

• Vertical angles are congruent

• Vertical angles are supplementary

• Vertical angles are equal to 180 degrees

What does the definition of congruence allow us to say about congruent segments?

• Their measures are supplementary

• Their measures are vertical

• Their measures are complementary

• Their measures are equal

In the first example proof, what property is used to state that two angles adding up to 90 degrees are complementary?

• Definition of complementary angles

• Definition of a bisector

• Definition of a midpoint

• Definition of supplementary angles

In the second example proof, what type of angles are angles 2 and 3?

• Vertical angles

• Supplementary angles

• Complementary angles

• Right angles

What property is used to state that if angle 1 equals angle 2 and angle 2 equals angle 3, then angle 1 equals angle 3?

• Transitive property

• Addition property

• Reflexive property

• Substitution property

In the third example proof, what is the definition of a midpoint used to state?

• SV equals VW

• SV equals WT

• VW equals WT

• SV equals VT

What property is used to conclude that SV equals WT in the third example proof?

• Reflexive property

• Substitution property

• Addition property

• Transitive property