Geometry Proofs Congruence

Are the triangles congruent, if yes, why?

• SSS

• SAS

• ASA

• Not Congruent

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

• Reflexive Property of Congruence

• Corresponding Parts of Congruent Triangles are Congruent

• Angles that form a linear pair are supplementary.

• Alternate Interior Angles are 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.

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 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.

What is statement #1?

• BC≅DC

• AC≅EC

• BC≅DC, AC≅EC

• ∆BCA≅∆DCE

What is statement #2?

• ∠ABC≅∠EDC

• ∠BCA≅∠DCE

• BC≅CD

• ∠E≅∠A

What is reason #3?

• SAS

• ASA

• SSS

• AAS