Parallelogram Proofs

In parallelogram ABRK,  $\angle RAB\cong\angle ARK$  because which two sides are parallel?

•  $\overline{BR}$  and  $\overline{KA}$  

•   $\overline{AB}$  and  $\overline{RK}$  

•  $\overline{BR}$  and  $\overline{RK}$  

•   $\overline{AB}$  and  $\overline{KA}$  

Tags

CCSS.HSG.CO.C.11

In parallelgram ABRK,  $\overline{RA}\cong\overline{AR}$  for what reason?

• Symmetric Property

• CPCTC

• Reflexive Property

• SSS

Tags

CCSS.HSG.CO.C.11

In parallelgram ABRK,  $\Delta ARB\cong\Delta RAK$   for what reason?

• ASA

• SAS

• AAS

• SSS

Tags

CCSS.HSG.SRT.B.5

Fill in the Reason #3.

• Alternate interior angles are congruent.

• Vertical angles are congruent.

• Reflexive Property

• $\parallel\longrightarrow$ alternate interior angles are congruent

Tags

CCSS.HSG.SRT.B.5

Fill in the Statement#4.

•  $\overline{AR}\cong\overline{RA}$  

•  $\overline{AR}\cong\overline{AR}$  

•  $\angle ABR\cong\angle RKA$  

•  $\overline{KA}\cong\overline{AK}$  

Tags

CCSS.HSG.SRT.B.5

Fill in the Reason#4.

• Alternate interior angles are congruent.

• Vertical angles are congruent.

• Reflexive Property

• $\parallel\longrightarrow$ alternate interior angles are congruent

Tags

CCSS.HSG.SRT.B.5

Fill in the Statement#5.

•  $\overline{AR}\cong\overline{RA}$  

•  $\Delta RBA\cong\Delta AKR$  

•  $\angle ABR\cong\angle RKA$  

•  $\Delta RAB\cong\Delta RKB$   

Tags

CCSS.HSG.SRT.B.5

Fill in the Reason#6.

• Opposite sides of a parallelogram are congruent.

• definition of parallelogram

• Prove

• CPCTC

Tags

CCSS.HSG.C.A.3