8-4 HW Parallelogram Proofs

Fill in Reason #2

• Opposite sides are congruent

• Definition of a parallelogram

• Prove

• CPCTC

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  $\overline{KA}$  

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

• Symmetric Property

• CPCTC

• Reflexive Property

• SSS

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

• ASA

• SAS

• AAS

• SSS

Fill in the Reason 3c.

• SAS

• HL

• SSS

• AAS

Fill in reason #5.

• Opposite angles in a quadrilateral are congruent.

• Parallel lines have congruent corresponding angles.

• Corresponding Parts of Congruent Triangles are Congruent.

• Alternate interior angles in congruent triangles are

  congruent.

Describe a single rigid motion that maps  $\Delta AED$  onto  $\Delta CEB$  ?

• Rotation of $90\degree$ about pt. E 

• Reflection over AC

• Rotation of  $180\degree$  about pt. E

• Reflection over BD

Fill in the correct reason for #2.

• Opposite sides are congruent.

• Consecutive angles are supplementary.

• Diagonals bisect each other.

• Opposite sides are parallel.

Fill in the correct reason for #4.

• SSS

• ASA

• HL

• SAS

Fill in Reason #2.

• Opposite sides are congruent.

• Opposite angles are congruent.

• Alternate interior angles are congruent.

• Diagonals bisect each other.