Parallelogram Proofs

The figure is a parallelogram.

m∠x =​ (a)  

m∠y =​ (b)  

m∠z =​ (c)  

• 74°

• 106°

• 45°

• 29°

• 63°

• 43°

• 137°

• 117°

Tags

CCSS.HSG.CO.C.11

Use your work from the last question to solve the Regents question.

• 40º

• 70º

• 110º

• 140º

Tags

CCSS.HSG.CO.C.11

Is this quadrilateral a parallelogram?

• Yes, the diagonals bisect each other

• Not enough info

• Yes, the opposite sides are congruent

• Yes, the opposite sides are parallel

Tags

CCSS.HSG.CO.C.11

Which statement must be true?

Tags

CCSS.HSG.CO.C.11

Is this quadrilateral a parallelogram? If so, give a reason.

• Not enough info

• Yes, the opposite sides are parallel

• Yes, the opposite sides are congruent

• Yes, the diagonals bisect each other

Tags

CCSS.HSG.CO.C.11

Tywan wants to show that RSTV is not a parallelogram. Explain how he can do this with the slope formula.

Tags

CCSS.6.G.A.3

Which is NOT a property of a parallelogram?

• Diagonals bisect each other

• Diagonals are perpendicular

• Opposite sides are parallel

• Opposite sides are congruent

Tags

CCSS.HSG.CO.C.11

In a parallelogram, opposite angles are ________.

• congruent

• supplementary

• consecutive

• parallel

Tags

CCSS.HSG.CO.C.11

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.HSG.CO.C.11