Quiz about Proving Quadrilaterals

Question 1

Is the quadrilateral a parallelogram?

Accepted Answer

Yes; opposite sides are parallel and congruent

Answer

Yes; one pair of opposite sides are parallel

Answer

Yes; one pair of opposite sides are congruent

Answer

No; only one pair of sides are parallel

Answer

No; only one pair of sides are congruent

Question 2

Is the quadrilateral a parallelogram?

Accepted Answer

Yes

Answer

No

Answer

Not enough information.

Question 3

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

Accepted Answer

yes, all opposite sides are congruent

Answer

yes, opposite angles are congruent

Answer

yes, opposite sides are parallel

Answer

yes, consecutive interior angles are supplementary

Question 4

How long is the side CD?

Accepted Answer

27

Answer

7

Answer

3

Answer

35

Question 5

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

Accepted Answer

no, not all pairs of opposite sides are congruent

Answer

yes, opposite sides are congruent

Answer

yes, opposite sides are parallel

Answer

no, not all pairs of opposite sides are parallel

Question 6

State which method we can use to show that the quadrilateral is a parallelogram.

Accepted Answer

The diagonals bisect each other.

Answer

Both pairs of opposite angles are congruent.

Answer

Both pairs of opposite sides are congruent.

Answer

Both pairs of opposite sides are parallel.

Question 7

Which theorem shows that the quadrilateral is a parallelogram?

Accepted Answer

Parallelogram Opposite Angles Converse

Answer

Parallelogram Diagonals Converse

Answer

Parallelogram Opposite Sides Converse

Answer

Opposite Sides Parallel and Congruent Theorem

Question 8

Which theorem shows that the quadrilateral is a parallelogram?

Accepted Answer

Opposite Sides Parallel and Congruent Theorem

Answer

Parallelogram Diagonals Converse

Answer

Parallelogram Opposite Sides Converse

Answer

Parallelogram Opposite Angles Converse

Question 9

Which theorem shows that the quadrilateral is a parallelogram?

Accepted Answer

Parallelogram Diagonals Converse

Answer

Parallelogram Opposite Sides Converse

Answer

Parallelogram Opposite Angles Converse

Answer

Opposite Sides Parallel and Congruent Theorem

Question 10

Find the values of x and y that make the quadrilateral a parallelogram.

Accepted Answer

x = 25, y = 15

Answer

x = 3, y = 2

Answer

x = 15, y = 25

Answer

x = 113, y = 67

Question 11

Find the values of x and y that make the quadrilateral a parallelogram.

Accepted Answer

x = 3, y = 4

Answer

x = 4, y = 3

Answer

x = 3, y = -2

Answer

x = 1, y = 4

Question 12

Find the value of x that makes the quadrilateral a parallelogram.

Accepted Answer

x = 8

Answer

x = -4

Answer

x = 1

Answer

x = 34

Question 13

Find the value of x that makes the quadrilateral a parallelogram.

Accepted Answer

x = 7

Answer

x = 26

Answer

x = 2

Answer

x = -2

Question 14

How can you prove two diagonals bisect each other?

Accepted Answer

Use midpoint formula and prove they have the same midpoint

Answer

Use distance formula and prove they have the same length

Answer

Use the slope formula and prove they have the same slope

Answer

Use the slope formula and prove the slopes are perpendicular

Question 15

If you can prove that one pair of opposite sides of a parallelogram are the same length and have the same slope, you can prove that it is a parallelogram.

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Proving Quadrilaterals

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