Geom: G.CO.B.8 ws 3 explanation of proofs

After establishing the vertical angles are congruent, you can say the triangles are congruent by what?

What justifies angle A is congruent to angle X?

What justifies the side between the triangles is congruent to itself?

Once you establish the side the two triangles share is congruent to itself by the reflexive property, what criteria establishes the triangles are congruent?

Which of these are justifications you can use in a proof? Select all that apply.

What reason justifies that  $\overline{BD}\cong\overline{BD}$  ? 

Once you establish  $\overline{BD}\cong\overline{BD}$  by the reflexive property, what criteria justifies the triangles are congruent? 

Which pair of angles are vertical angles?

In  $\Delta BCD$ , what is the included angle of  $\overline{BC}\$  and  $\overline{CD}$  ? 

In  $\Delta ABC$ , what side is the included side of angles A and B?  

Based on the given markings, what else would I need to know to prove the triangles congruent by SAS? 

Which of the following pairs of angles are alternate interior angles?

Which of the following pairs of angles are vertical angles?

What reason goes in the blank?

What reason completes the proof?

Is  $\Delta ABC\cong\Delta DEF$  ? If so, how do you know?