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

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

Length of AC = Length of BD, therefore Side AC is congruent to Side BD

Length of AC = Length of BD, therefore Side AC is parallel to Side BD

The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

If you wanted to prove that Quadrilateral ABCD is a rhombus, what would be the best piece of evidence to use?

The length of each side is √(34), therefore all sides are congruent.

The length of each side 8, therefore all sides are congruent.

The slope of AC and BD is 5/3, therefore AC and BD are parallel.

The slopes of the sides are opposite reciprocals, therefore opposite sides are parallel.

If you want to prove that Quadrilateral ABCD is a rectangle, what is the best piece of evidence to use?

The slopes of AB and BD are opposite reciprocals, therefore AC is perpendicular to BD.

The lengths of AC and BD are the same, therefore AC and BD are congruent

The slopes of AC and BD are the same, therefore AC and BD are congruent

The slopes of AB and BD are the same, therefore AC is perpendicular to BD

If you want to prove that Quadrilateral ABCD is a square, SELECT ALL the pieces of evidence you would need to use.

The length of each side is √(68), therefore all sides are congruent

The slopes of AC and CD are opposite reciprocals, therefore AC is perpendicular to CD

The slopes of AB and BD are opposite reciprocals, therefore AB and BD are perpendicular.

The slope of AC and BD are both 1/4, therefore AC is parallel to BD

Quadrilaterals Prove

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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14 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

- I have 4 sides
- My diagonals are perpendicular
- I have 4 right angles

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.5.G.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- My opposite sides are parallel
- I have 2 consecutive congruent sides

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.5.G.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- My diagonals are congruent and perpendicular
- My diagonals bisect each other

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- I have one pair of opposite sides congruent and parallel

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.4.G.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- My opposite sides are congruent
- One of my diagonals bisects opposite angles

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.HSG.CO.C.11

MULTIPLE CHOICE QUESTION

1 min • 1 pt

- I have one pair of sides that are parallel and congruent
- I have one right angle

Square

Parallelogram

Rhombus

Rectangle

Tags

CCSS.4.G.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In order for ABCD to be a parallelogram, what must the value of x be?

132

114

Tags

CCSS.HSG.CO.C.11

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Quadrilaterals Prove

- I have 4 sides
- My diagonals are perpendicular
- I have 4 right angles

- My opposite sides are parallel
- I have 2 consecutive congruent sides

- My diagonals are congruent and perpendicular
- My diagonals bisect each other

- I have one pair of opposite sides congruent and parallel

- My opposite sides are congruent
- One of my diagonals bisects opposite angles

- I have one pair of sides that are parallel and congruent
- I have one right angle

In order for ABCD to be a parallelogram, what must the value of x be?

Is the quadrilateral a parallelogram?

Is this a parallelogram? How do we know?

Find m∠FHJ

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Quadrilaterals Prove

- I have 4 sides- My diagonals are perpendicular- I have 4 right angles

- My opposite sides are parallel- I have 2 consecutive congruent sides

- My diagonals are congruent and perpendicular- My diagonals bisect each other

- I have one pair of opposite sides congruent and parallel

- My opposite sides are congruent- One of my diagonals bisects opposite angles

- I have one pair of sides that are parallel and congruent- I have one right angle

In order for ABCD to be a parallelogram, what must the value of x be?

Is the quadrilateral a parallelogram?

Is this a parallelogram? How do we know?

Find m∠FHJ

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

- I have 4 sides
- My diagonals are perpendicular
- I have 4 right angles

- My opposite sides are parallel
- I have 2 consecutive congruent sides

- My diagonals are congruent and perpendicular
- My diagonals bisect each other

- My opposite sides are congruent
- One of my diagonals bisects opposite angles

- I have one pair of sides that are parallel and congruent
- I have one right angle