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

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

Multiple Choice

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

• AAS

• ASA

Multiple Choice

What justifies angle A is congruent to angle X?

• vertical angles

• alternate interior angles

• alternate exterior angles

Multiple Choice

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

• SSS

• Reflexive Property

• Vertical

• SAS

Multiple Choice

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

• ASA

• AAS

• SAS

• SSS

Multiple Select

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

• Given information

• Definitions

• Appearance

• Theorems/Postulates

• Properties

Multiple Choice

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

• Alternate Interior Angles

• Reflection Property

• Reflexive Property

• SSS

Multiple Choice

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

• AAS

• ASA

• SAS

• SSS

Multiple Choice

Which pair of angles are vertical angles?

• $\angle ACB\ \&\ \angle BCD$

• $\angle BCD\ \&\ \angle ACE$

• $\angle ACE\ \&\ \angle DCE$

• $\angle BCD\ \&\ \angle DCB$

Multiple Choice

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

•  $\angle B$  

•  $\angle C$  

•  $\angle D$  

Multiple Choice

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

•  $\overline{AB}$  

•  $\overline{AC}$  

•  $\overline{BC}$  

Multiple Choice

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

•  $\angle DBC\cong\angle EDB$  

•  $\angle C\cong\angle E$  

•  $\angle BDC\cong\angle EBD$  

Multiple Choice

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

• $\angle4\ \&\ \angle6$

• $\angle3\ \&\ \angle7$

• $\angle2\ \&\ \angle8$

• $\angle2\ \&\ \angle4$

Multiple Choice

Which of the following pairs of angles are vertical angles?

• $\angle4\&\angle6$

• $\angle3\&\angle7$

• $\angle2\&\angle4$

• $\angle2\&\angle8$

Multiple Choice

What reason goes in the blank?

• AAS

• ASA

• SAS

• SSS

• HL

Multiple Choice

What reason completes the proof?

• AAS

• ASA

• SAS

• SSS

• HL

Multiple Choice

Name a line skew to FG

• EH
• DC
• AD
• FB

Multiple Choice

Which is NOT a test to prove triangles congruent?

• SAA
• SSS
• SSA
• SAS

Multiple Choice

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

• Yes, by SAS

• Yes, by SSS

• Yes, by HL

• Yes, by SSA

• These triangles cannot be proven congruent