Quiz about Proofs About Quadrilaterals and Parallelogram

Question 1

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

Accepted Answer

Both pairs of opposite angles are congruent.

Answer

Both pairs of opposite sides are congruent.

Answer

Both pairs of diagonals bisect each other.

Answer

Both pairs of opposite sides are parallel.

Question 2

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

Accepted Answer

Both pairs of opposite sides are congruent.

Answer

Both pairs of opposite angles are congruent.

Answer

Both pairs of diagonals bisect each other.

Answer

Both pairs of opposite sides are parallel.

Question 3

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

Accepted Answer

Both pairs of 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 4

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

Accepted Answer

One pair of opposite sides are parallel and congruent.

Answer

Both pairs of opposite sides are parallel.

Answer

Both pairs of opposite sides are congruent.

Answer

Consecutive angles are supplementary.

Question 5

Determine the value of x and y that would classify this quadrilateral as a parallelogram.

Accepted Answer

x = 16; y = 9

Answer

x = 9 ; y = 16

Question 6

Determine the value of x that would classify this quadrilateral as a parallelogram.

Accepted Answer

x = 25

Answer

x = 155

Answer

x = 50

Answer

x = 75

Question 7

Determine the value of x that would classify this quadrilateral as a parallelogram. (The expression are for the tick marks on the diagram).

Accepted Answer

x = 8

Answer

x = 26

Answer

x = 28

Answer

x = 38

Question 8

Determine the value of x that would classify this quadrilateral as a parallelogram.

Accepted Answer

x = 4

Answer

x = 8

Answer

x = 11

Answer

x = 44

Question 9

Fill in the Blank: If both pairs of opposite sides of a quadrilateral are ____________, then the quadrilateral is a parallelogram.

Accepted Answer

Both parallel & congruent.

Answer

Parallel

Answer

Congruent

Answer

Neither parallel or congruent.

Question 10

Fill in the Blank: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a _____________.

Accepted Answer

Parallelogram

Answer

Circle

Answer

Quadrilateral

Answer

Puppy

Question 11

Fill in the Blank: If one _________ of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.

Accepted Answer

Pair

Answer

Complement

Answer

Supplement

Answer

Box

Question 12

Fill in the Blank: If the diagonals of a quadrilateral __________ each other, then the quadrilateral is a parallelogram.

Accepted Answer

Bisect

Answer

Intersect

Answer

Trisect

Answer

Love

Question 13

Fill in the Blank: A quadrilateral is ___________ a parallelogram.

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Answer

Eating

Question 14

Fill in the Blanks: A quadrilateral has ___ sides and the sum of the interior angles in equal to _____.

Accepted Answer

4; 360 degrees.

Answer

2; 90 degrees.

Answer

3; 180 degrees.

Answer

5; 540 degree.s

Question 15

Which is not a method of proving quadrilaterals are parallelograms?

Accepted Answer

Consecutive angles are supplementary.

Answer

Both pairs of opposite sides are congruent.

Answer

Both pairs of opposite sides are parallel.

Answer

Both pairs of opposite angles are congruent.

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