Geometry Proofs

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

•  $\angle1$  and $\angle3$  are a linear pair

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

•  $\angle2\cong\angle3$  

•  $\angle1\cong\angle3$  

Tags

CCSS.HSG.CO.C.9

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

• $m\angle1+m\angle2=180\degree$

• $m\angle1+m\angle2=90\degree$

• $m\angle1=m\angle2$
  

• Nothing

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.D.12

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.

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

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

• Angles that form a linear pair are supplementary. $m∠1+m∠3=180°$  

•  $m∠3+m∠5=180°$  
  

•  $m∠1=m∠3$  

•  $\angle3\cong\angle5$  
  

Tags

CCSS.HSG.CO.C.9

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

•  $AD≅DB$  
  

•  $CD≅CD$  
  

•  $m\angle ADC+m\angle BDC=180\degree$  
  

•  $\angle ADC\cong\angle BDC$  
  

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.C.9

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

• ASA

• SAS

• SSS

• Hypotenuse Leg Thm

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8