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Quadrilaterals Test Review 2022-2023

Total questions: 47

Worksheet time: 40mins

Name
Class
Date
1.

A square is a rectangle.

a)

Sometimes

b)

Always

c)

Never

2.

A rhombus is a square.

a)

Sometimes

b)

Always

c)

Never

3.

The diagonals of a trapezoid bisect each other.

a)

Sometimes

b)

Always

c)

Never

4.

A parallelogram is a quadrilateral.

a)

Sometimes

b)

Always

c)

Never

5.

Not all rectangles have

a)

Diagonals that bisect each other

b)

Diagonals that are congruent

c)

Four congruent sides

d)

Consecutive angles that are supplementary.

6.

A quadrilateral must be a parallelogram if

a)

A diagonal seperates it into two congruent angles

b)

The diagonals are congruent

c)

The diagonals are perpendicular

d)

The diagonals bisect each other.

7.

The diagonals of a square bisect the angles.

a)

Sometimes

b)

Always

c)

Never

8.

Opposite angles are always congruent in a(n):

a)

trapezoid

b)

isosceles trapezoid

c)

quadrilateral

d)

parallelogram

9.

All parallelograms have

a)

opposite angles that are supplementary

b)

diagonals that are congruent

c)

four congruent sides

d)

opposite angles that are congruent

10.

A square can never be a

a)

rhombus

b)

trapezoid

c)

polygon

d)

parallelogram

11.

What is the sum of the measures of the interior angles of a 27-gon?

(a)  

12.

If the sum of the interior angles of a polygon is 2340°2340\degree , how many sides does the polygon have?

(a)  

13.

Find the value of x.

(a)  

14.

If m∠GAC=125°m\angle GAC=125\degree , find m∠ACFm\angle ACF .

(a)  

15.

If m∠CFG=(2w+30°)m\angle CFG=\left(2w+30\degree\right) and m∠ACF=(w+15)°m\angle ACF=\left(w+15\right)\degree , find w.

(a)  

16.

If m∠CFG=(2w+30°)m\angle CFG=\left(2w+30\degree\right) and m∠ACF=(w+15)°m\angle ACF=\left(w+15\right)\degree , find m∠AGFm\angle AGF .

(a)  

17.

If AC = 2x + 2 and GF = 4x - 14, find the value of x.

(a)  

18.

If GX = 2y + 2 and XC = 3y - 3, find the value of y.

(a)  

19.

RT‾≅\overline{RT}\cong (a)  

20.

If m∠1=74°m\angle1=74\degree , find m∠2m\angle2 .

(a)  

21.

If RX = 2x and XS = 3x - 5, find RT.

(a)  

22.

If m∠VST−(2x+30)°m\angle VST-\left(2x+30\right)\degree and m∠RSV=(2x+20)°m\angle RSV=\left(2x+20\right)\degree , find the value of x.

(a)  

23.

Find the value of x.

(a)  

24.

Find the value of y

(a)  

25.

Find the value of x.

(a)  

26.

Find the value of y.

(a)  

27.

Find the value of x.

(a)  

28.

Find the value of x.

(a)  

29.

Find the value of y.

(a)  

30.

Find m∠1m\angle1 .

(a)  

31.

Find m∠2m\angle2 .

(a)  

32.

Find m∠1m\angle1 .

(a)  

33.

Find m∠2m\angle2 .

(a)  

34.

Find m∠1m\angle1 .

(a)  

35.

Find m∠2m\angle2 .

(a)  

36.

Find m∠1m\angle1 .

(a)  

37.

Find m∠2m\angle2 .

(a)  

38.

Find m∠3m\angle3 .

(a)  

39.

a quadrilateral with four right angles

a)

parallelogram

b)

trapezoid

c)

rectangle

d)

square

e)

rhombus

40.

a quadrilateral with four congruent sides and four right angles

a)

parallelogram

b)

trapezoid

c)

rectangle

d)

square

e)

rhombus

41.

a quadrilateral with four congruent sides

a)

parallelogram

b)

trapezoid

c)

rectangle

d)

square

e)

rhombus

42.

a quadrilateral with two pairs of congruent sides

a)

parallelogram

b)

trapezoid

c)

rectangle

d)

square

e)

kite

43.

a quadrilateral with exactly two pairs of congruent consecutive sides

a)

parallelogram

b)

trapezoid

c)

rectangle

d)

square

e)

kite

44.

What is the sum of the measures of the interior angles of a 20-gon?

(a)  

45.

If the sum of the interior angles of a polygon is 4500°4500\degree , how many sides does the polygon have?

(a)  

46.

Find the value of x if the polygon is regular.

(a)  

47.

What is the sum of the measures of the exterior angles of any polygon?

(a)