Geometry Parallelogram Proofs Practice

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

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

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Symmetric Property

CPCTC

Reflexive Property

SSS

ASA

SAS

AAS

SSS

Alternate interior angles are congruent.

Vertical angles are congruent.

Reflexive Property

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

$$\overline{AR}\cong\overline{RA}$$  

$$\overline{AR}\cong\overline{AR}$$  

$$\angle ABR\cong\angle RKA$$  

$$\overline{KA}\cong\overline{AK}$$  

Alternate interior angles are congruent.

Vertical angles are congruent.

Reflexive Property

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

$$\overline{AR}\cong\overline{RA}$$  

$$\Delta RBA\cong\Delta AKR$$  

$$\angle ABR\cong\angle RKA$$  

$$\Delta RAB\cong\Delta RKB$$   

Opposite sides of a parallelogram are congruent.

definition of parallelogram

Prove

CPCTC

Diagonals are perpendicular

Opposite sides are parallel

Opposite sides are congruent