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Conditions for Parallelograms

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Conditions for Parallelograms
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Fill in the missing reason for the proof.

Opposite angles are congruent.

Alternate interior angles formed by parallel lines are congruent.

Vertical angles are congruent.

CPCTC

Tags

CCSS.HSG.CO.C.11

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Choose the correct missing reasons for the proof.

4) CPCTC; 6)All quads are parallelograms

4) Alternate Interior Angles are congruent; 6) Definition of paralelogram

4)CPCTC; 6)Definition of parallelogram

4) Alternate Interior Angles are congruent; 6) All quads are parallelograms

Tags

CCSS.HSG.CO.C.11

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Is this a parallelogram? How do we know?

yes,opposite sides are congruent

no we can not prove it is a parallelogram

yes, one pair of sides are congruent and parallel

yes, opposite sides are parallel

yes, diagonals bisect each other

Answer explanation

Tags

CCSS.HSG.CO.C.11

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine whether the figure is a parallelogram. If so, state the reason.

Yes, quadrilateral with 2 pairs of opposite sides ≅

Yes, quadrilateral with 2 pairs of opposite angles ≅

Yes, quadrilateral with diagonals bisecting each other

not a parallelogram

Tags

CCSS.HSG.CO.C.11

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

To prove that the following parallelogram ABCD is a rectangle, which of the following must not be true?

AC≠DB

AD≅BC

m∠C=90

∠A≅∠B≅∠C≅∠D

Tags

CCSS.HSG.CO.C.11

6.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

Prove that if a quadrilateral is a parallelogram, then the opposite sides are congruent.

parallel

Alternate Interior Angles Theorem.

Reflexive Property.

ASA≅

Corresponding Parts of Congruent Triangles are Con

Tags

CCSS.HSG.CO.C.11

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the value of x?

132

66

114

48

Tags

CCSS.HSG.CO.C.11

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