Basic Geometry and Proofs

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.

Why are these 2 triangles congruent, based on your proof?

• ASA

• SAS

• SSS

• Hypotenuse Leg Thm

Since segment BD is part of both triangles, it is congruent to itself, what do we call this?

• Substitution

• Commutative

• Reflexive

• CPCTC

Why are these 2 triangles congruent according to your proof?

• ASA

• SAS

• SSS

• Cannot be determined

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

In the given proof, what is the statement for step 4?

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

•  $\angle1$  and $\angle3$  are right angles.

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

• Nothing

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

In the given proof, what are the reasons for steps 1 and 3?

• Alternate Exterior Angle are Congruent

• Reflexive Property of Congruence

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are Congruent.