I Can Explain Why A Quadrilateral Is A Parallelogram

Name this quadrilateral.

• Rectangle

• Parallelogram

• Square

• Kite

Tags

CCSS.3.G.A.1

Is this a parallelorgram?

• This is a trapezoid

• No

• There is no such thing as a parallelogram

• Yes

Tags

CCSS.HSG.CO.C.11

• kite
• rhombus
• parallelogram
• quadrilateral

Tags

CCSS.3.G.A.1

Alex is classifying this figure on the Quadrilateral Heirarchy. He thought: This has four sides, so it is a quadrilateral. It has a pair of parallel sides, so it is a trapezoid. Actually, it has two pairs of parallel sides, so it is also a parallelogram. Can Alex move down to the Rhombus category? Why or Why not?

Answer explanation

Use this Quadrilateral Heirarchy to help you answer this question.

Find the shape you are looking for, Then name each level ( blue words) of the heirarchy that it goes through.

Tags

CCSS.3.G.A.1

Is the quadrilateral a parallelogram?

• Yes; one pair of opposite sides are parallel

• Yes; one pair of opposite sides are congruent

• Yes; opposite sides are parallel and congruent

• No; only one pair of sides are parallel

• No; only one pair of sides are congruent

Tags

CCSS.HSG.CO.C.11

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes

• no

Tags

CCSS.HSG.CO.C.11

• 
• 
• 
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Tags

CCSS.2.G.A.1

Is there enough information to determine that this quadrilateral is a parallelogram?

• yes

• no

Tags

CCSS.HSG.CO.C.11

Is this a parallelogram

• Yes, both pairs of opposite sides are parallel

• Yes, both pairs of opposite sides are congruent

• Yes, both pairs of opposite angles are congruent

• Yes, one pair of sides is both congruent and parallel

• No

Tags

CCSS.HSG.CO.C.11

Is this a parallelogram

• Yes, both pairs of opposite sides are parallel

• Yes, both pairs of opposite sides are congruent

• Yes, both pairs of opposite angles are congruent

• Yes, one pair of sides is both congruent and parallel

• No

Tags

CCSS.HSG.CO.C.11