Geometry Reasoning and Proofs

Given: ∠1 and ∠3 are vertical angles. What should you conclude by the vertical angles theorem?

• undefined andundefined are right angles.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

• Nothing

What does it mean to bisect a segment or an angle?

• Split it into 3 equal parts.

• Split it into 2 equal parts.

• Split into 4 equal parts.

• Double it.

In the given proof, what are the reasons for step 1 and 2?

• Angles that form a linear pair are supplementary.

• Substitution

• Reflexive Property of Congruence

• Angles of equal measure are congruent.

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

In the given proof, what is the statement for step 2?

In the given proof, what is the statement for step 2?

In the given proof, what is the reason for step 2?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.

A ​ (a)   ​ ​is a logical ​ (b)  

of statements and ​ (c)   used to ​ (d)   that a ​ (e)   mathematical concept or idea is true.​

• proof
• set
• reasons
• prove
• given

I can use definitions in my paragraph proofs.

• True

• False