Quiz about Exploring Parallelograms, Rhombi, and Kites

Question 1

Which of the following statements is always true for a parallelogram?

Accepted Answer

Opposite sides are equal and parallel.

Answer

All angles are right angles.

Answer

All sides are equal.

Answer

Diagonals are always equal.

Question 2

In a rhombus, which of the following is always true?

Accepted Answer

Diagonals bisect each other at right angles.

Answer

Diagonals are equal in length.

Answer

All angles are $$90^\circ$$ .

Answer

Only opposite sides are equal.

Question 3

Which property is unique to kites among the following quadrilaterals?

Accepted Answer

One pair of opposite angles are equal.

Answer

Both pairs of opposite sides are parallel.

Answer

All sides are equal.

Answer

Diagonals are equal.

Question 4

If the diagonals of a parallelogram are equal, what type of parallelogram is it?

Accepted Answer

Rectangle

Answer

Rhombus

Answer

Kite

Answer

Trapezium

Question 5

Which of the following is NOT a property of a kite?

Accepted Answer

Diagonals bisect each other at right angles.

Answer

Two pairs of adjacent sides are equal.

Answer

One diagonal bisects the other.

Answer

One pair of opposite angles are equal.

Question 6

In a parallelogram $$ABCD$$ , if $$\angle A = 70^\circ$$ , what is the measure of $$\angle C$$ ?

Accepted Answer

$$70^\circ$$

Answer

$$110^\circ$$

Answer

$$90^\circ$$

Answer

$$180^\circ$$

Question 7

Which of the following quadrilaterals always has perpendicular diagonals?

Accepted Answer

Rhombus

Answer

Parallelogram

Answer

Rectangle

Answer

Trapezium

Question 8

If a parallelogram has all sides equal and all angles equal, it is a:

Accepted Answer

Square

Answer

Rectangle

Answer

Rhombus

Answer

Kite

Question 9

Which of the following is true for both rhombi and kites?

Accepted Answer

Diagonals are perpendicular.

Answer

All sides are equal.

Answer

Both diagonals are equal.

Answer

All angles are right angles.

Question 10

Which of the following is NOT necessarily true for a parallelogram?

Accepted Answer

Diagonals bisect each other at right angles.

Answer

Opposite sides are equal.

Answer

Opposite angles are equal.

Answer

The sum of adjacent angles is $$180^\circ$$ .

Question 11

In a parallelogram, which of the following statements is always true about its diagonals?

Accepted Answer

They bisect each other.

Answer

They are always equal.

Answer

They are perpendicular.

Answer

They bisect the angles.

Question 12

Which of the following quadrilaterals must have at least one pair of equal adjacent sides?

Accepted Answer

Kite

Answer

Parallelogram

Answer

Rectangle

Answer

Trapezium

Question 13

Which of the following is always true for the opposite angles of a parallelogram?

Accepted Answer

They are equal.

Answer

They are supplementary.

Answer

They are right angles.

Answer

They are unequal.

Question 14

In a rhombus, which of the following is NOT always true?

Accepted Answer

Diagonals are equal.

Answer

All sides are equal.

Answer

Diagonals bisect each other at right angles.

Answer

Opposite angles are equal.

Question 15

Which of the following quadrilaterals can have exactly one pair of equal angles?

Accepted Answer

Kite

Answer

Parallelogram

Answer

Rhombus

Answer

Rectangle

Question 16

If one angle of a parallelogram is $$120^\circ$$ , what is the measure of its adjacent angle?

Accepted Answer

$$60^\circ$$

Answer

$$120^\circ$$

Answer

$$90^\circ$$

Answer

$$30^\circ$$

Question 17

Which of the following is a property of all parallelograms?

Accepted Answer

Opposite sides are parallel.

Answer

All sides are equal.

Answer

Diagonals are perpendicular.

Answer

All angles are right angles.

Question 18

Which of the following quadrilaterals does NOT necessarily have equal diagonals?

Accepted Answer

Rhombus

Answer

Rectangle

Answer

Square

Answer

Isosceles trapezium

Question 19

In a kite, which diagonal bisects the other?

Accepted Answer

The diagonal joining the vertices with unequal angles

Answer

The diagonal joining the vertices with equal angles

Answer

Both diagonals bisect each other

Answer

Neither diagonal bisects the other

Question 20

In parallelogram $$PQRS$$ , if $$PQ = 8$$ cm and $$QR = 5$$ cm, what is the length of $$RS$$ ?

Accepted Answer

$$8$$ cm

Answer

$$5$$ cm

Answer

$$13$$ cm

Answer

$$10$$ cm

Question 21

In parallelogram $$ABCD$$ , if $$\angle A = 110^\circ$$ , what is the measure of $$\angle B$$ ?

Accepted Answer

$$70^\circ$$

Answer

$$110^\circ$$

Answer

$$90^\circ$$

Answer

$$80^\circ$$

Question 22

In a kite $$WXYZ$$ , if $$WX = 6$$ cm $$,$$ $$XY = 6$$ cm $$,$$ $$YZ = 9$$ cm $$,$$ and $$ZW = 9$$ cm, what is the length of $$YZ$$ ?

Accepted Answer

$$9$$ cm

Answer

$$6$$ cm

Answer

$$12$$ cm

Answer

$$15$$ cm

Question 23

In a rhombus, if one side is $$7$$ cm, what is the length of the other three sides?

Accepted Answer

$$7$$ cm

Answer

$$14$$ cm

Answer

$$21$$ cm

Answer

$$10$$ cm

Question 24

In parallelogram $$EFGH$$ , if $$EF = 12$$ cm and $$FG = 9$$ cm, what is the length of $$GH$$ ?

Accepted Answer

$$12$$ cm

Answer

$$9$$ cm

Answer

$$21$$ cm

Answer

$$15$$ cm

Question 25

In parallelogram $$JKLM$$ , if $$\angle J = 85^\circ$$ , what is the measure of $$\angle L$$ ?

Accepted Answer

$$85^\circ$$

Answer

$$95^\circ$$

Answer

$$180^\circ$$

Answer

$$75^\circ$$

Question 26

In a kite, if one pair of adjacent sides is $$4$$ cm and $$4$$ cm, and the other pair is $$7$$ cm and $$7$$ cm, what is the length of the longer side?

Accepted Answer

$$7$$ cm

Answer

$$4$$ cm

Answer

$$8$$ cm

Answer

$$11$$ cm

Question 27

In a parallelogram, if one angle is $$x^\circ$$ and the adjacent angle is $$y^\circ$$ , what is the value of $$x + y$$ ?

Accepted Answer

$$180^\circ$$

Answer

$$90^\circ$$

Answer

$$120^\circ$$

Answer

$$360^\circ$$

Question 28

In a rhombus, if one angle is $$60^\circ$$ , what is the measure of the adjacent angle?

Accepted Answer

$$120^\circ$$

Answer

$$60^\circ$$

Answer

$$90^\circ$$

Answer

$$30^\circ$$

Question 29

In parallelogram $$ABCD$$ , if $$AB = 10$$ cm and $$BC = 6$$ cm, what is the length of $$CD$$ ?

Accepted Answer

$$10$$ cm

Answer

$$6$$ cm

Answer

$$16$$ cm

Answer

$$12$$ cm

Question 30

The figure is a parallelogram.
Solve for x.

Accepted Answer

10

Answer

1

Answer

4

Answer

5

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