WorksheetsGr 10 Quadrilateral
Total questions: 239
Worksheet time: 10hrs 30mins
What is one of the properties of parallelograms?
They have an axis of symmetry.
The opposite sides are equal and parallel.
The sides are perpendicular to each other.
The internal angles add up to 360 degrees.
What can be said about the opposite sides of a parallelogram?
They are unequal and perpendicular.
They are equal and parallel.
They are parallel but not equal.
They are equal but not parallel.
What can be said about the opposite angles of a parallelogram?
They are perpendicular
They are congruent
They are complementary
They are equal
What is the relationship between consecutive angles of a parallelogram?
They are supplementary
They are complementary
They are perpendicular
They are adjacent
What can be said about the sides of a parallelogram in terms of parallelism?
The sides of a parallelogram are never parallel.
Only one side of a parallelogram is parallel.
The opposite sides of a parallelogram are parallel.
The adjacent sides of a parallelogram are parallel.
What is another property of the opposite sides of a parallelogram?
Perpendicularity
Parallelism
Symmetry
Congruence
What can be said about the opposite angles of a parallelogram in terms of equality?
They are perpendicular
They are complementary
They are equal
They are supplementary
What is the sum of the consecutive angles of a parallelogram?
90 degrees
270 degrees
360 degrees
180 degrees
How are the sides of a parallelogram related in terms of length?
The sides of a parallelogram are equal in length.
The sides of a parallelogram are curved instead of straight.
The sides of a parallelogram are of different lengths.
The sides of a parallelogram are perpendicular to each other.
What property ensures that a quadrilateral is a parallelogram?
It has at least one side of equal length.
The opposite sides are parallel.
It has at least one right angle.
The internal angles add up to 360 degrees.
In a parallelogram, consecutive angles are __________ (they add up to 180 degrees).
Solve for x. Each figure is a parallelogram.
A
B
C
D
Find the measurement indicated in each parallelogram.
A
B
C
D
Solve for x. Each figure is a parallelogram.
A
B
C
D
Find the measurement indicated in each parallelogram.
6
8
19
21
Find the value of x and y.
x = 4, y = 4
x = 4, y = 116
x = 3, y = 116
x = 116, y = 116
A parallelogram is a quadrilateral with one pair of parallel side.
True
False
Parallelogram has both opposite sides are congruent.
True
False
Parallelogram has no opposite angles are congruent.
True
False
Parallelogram has one pair of opposite sides are parallel and congruent.
True
False
A rectangle is a parallelogram.
True
False
Parallelogram has 2 pair opposite angle congruent.
True
False
A square is a parallelogram.
True
False
Parallelogram has consecutive angles complementary.
True
False
If the diagonals of quadrilateral bisect each other, then the quadrilateral is a parallelogram.
True
False
If each diagonals of a quadrilateral form two congruent triangles, then the quadrilaterals is a parallelogram.
True
False
Which one is a parallelogram?
Which one is a rectangle?
Which is NOT a property of a parallelogram?
opposite sides are parallel
opposite angles are congruent
diagonals bisect each other
all sides are congruent
75°
105°
180°
360°
If one diagonal of a rectangle is 9 in, what is the measure of the other diagonal
4.5 in
10 in
9 in
6 in
The angles of a rectangle are 90°
Always
Sometimes
Never
Opposite angles of a parallelogram are congruent
Always
Sometimes
Never
A quadrilateral is a parallelogram
Always
Sometimes
Never
A parallelogram is a quadrilateral
Always
Sometimes
Never
Which of the following is true about the diagonals of a rectangle? Select all that are true.
Diagonals bisect each other
Diagonals are congruent
Diagonal are perpendicular
Diagonals bisect the angles
Which of the following is not a property of all rectangles?
both pairs of opposite sides have equal lengths
all angles are congruent
the diagonals are congruent
the diagonals are perpendicular
Find x.
x = 7
x = 11
x = 5
x = 13
HT = _____
24
50
25
48
Find the measure of ∠M .
95°
85°
75°
105°
What is the length of MH ?
50
24
48
25
∠A=_____
75°
85°
95°
105°
What is the measure of ∠T ?
105°
85°
95°
75°
If ∠L=(3x+5)° and ∠O=(2x)° , find the value of x.
25
30
35
40
If LE=2x+5 and OV=3x−2 , find the value of x.
6
7
8
9
In a parallelogram, any two opposite angles are supplementary.
True
False
A diagonal of a parallelogram divides the parallelogram into two _____ triangles.
proportional
similar
congruent
right
What can be said about any two consecutive angles of a parallelogram?
They are always congruent.
They are always supplementary.
They are always complementary.
They are both right angles.
If MK=18 , then MS= _____.
5
9
18
12
ΔEMA≅_____.
ΔAKE
ΔEKA
ΔKEA
ΔESK
If AS=12 , then SE= _____.
8
10
12
14
∠EMA+∠MAK+∠AKE+∠KEM= _____
90°
120°
180°
360°
∠EMA+∠MAK= _____
90°
120°
180°
360°
Solve for x.
Solve for x.
Solve for x.
Based on the markings, is this quadrilateral a parallelogram? If so, give a reason.
No
Yes. Opposite sides are parallel
Yes. Opposite sides are congruent
Yes. Opposite angles are congruent
Is the quadrilateral a parallelogram? If yes, state how you know.
Yes, Opposite sides parallel
Yes, Opposite angles equal and consecutive angles are supplementary.
Yes, Opposite sides equal and parallel
Not enough info
Solve for x. Each figure is a parallelogram.
A
B
C
D
Solve for x.
Which of the following are properties of parallelograms (check all that apply)
Two pairs of sides are parallel
Opposite sides are congruent
Diagonals are congruent
Diagonals bisect each other
Opposite angles are supplementary
Which statement about parallelograms is always true?
The diagonals are congruent.
The diagonals bisect each other.
The diagonals are perpendicular.
The diagonals bisect their respective angles.
Does the condition below guarantee that the figure is a parallelogram
Both pairs of opposite sides are congruent
Yes
No
Does the condition below guarantee that the figure is a parallelogram
Two sides are parallel
Yes
No
Does the condition below guarantee that the figure is a parallelogram
A a pair of sides is both parallel and congruent
Yes
No
Does the condition below guarantee that the figure is a parallelogram
The diagonals bisect each other
Yes
No
Does the condition below guarantee that the figure is a parallelogram
The sum of the measures of the interior angles is 360
Yes
No
Does the condition below guarantee that the figure is a parallelogram
The diagonals are congruent
Yes
No
Do the following coordinates form a parallelogram? F(3,3) G(-1,2) H(-3,1) I(-1,4). Check by using the Midpoint formula.
Yes
No
Can not be determined
Do the following coordinates form a parallelogram? A(-3,2) B(-1,4) C(2,1) D(0,-1). Check by using the Midpoint formula.
Yes
No
Can not be determined
Do the following coordinates form a parallelogram? R(-1,0) S (3,0) T(-1,-1) U(-3,-2). Check by using the distance formula.
Yes
No
Can not be determined
Do the following coordinates form a parallelogram? A(-3,0) B (-1,0) C(-2,2) D(0,2). Check by using the distance formula.
Yes
No
Can not be determined
Do the following coordinates form a parallelogram? M(-1,1) A(2,4) T(6,4) H(3,1). Check by using the slope formula.
Yes
No
Can not be determined
Do the following coordinates form a parallelogram? M(0,0) A(1,3) T(5,3) H(4,0). Check by using the slope formula.
Yes
No
Can not be determined
Find x.
60
120
180
240
Find the measure of angle D.
56
76
96
106
Find x.
54
64
74
84
What is the measure of AV?
2cm
3cm
6cm
12cm
Find the value of x
10
7
6
5
Find x.
2 cm
4 cm
6 cm
8 cm
Two opposite sides in a parallelogram are supplementary
ALWAYS TRUE
SOMETIMES TRUE
NEVER TRUE
SOMETIMES FALSE
A
B
C
D
A
B
C
D
What is the sum of all angles of a quadrilateral?
180
90
270
360
Which statement about parallelograms is always true?
The diagonals are congruent.
The diagonals bisect each other.
The diagonals are perpendicular.
The diagonals bisect their respective angles.
Does the condition below guarantee that the figure is a parallelogram
Both pairs of opposite sides are congruent
Yes
No
Does the condition below guarantee that the figure is a parallelogram
Two sides are parallel
Yes
No
Does the condition below guarantee that the figure is a parallelogram
The diagonals are congruent
Yes
No
The figure in the image is a parallelogram.
A
B
C
D
The figure in the image is a parallelogram.
A
B
C
D
The figure in the image is a parallelogram.
A
B
C
D
The figure in the image is a parallelogram. Solve for x.
A
B
C
D
The figure in the image is a parallelogram. What is m<CDE?
A
B
C
D
The figure in the image is a parallelogram. What is m<WXY?
A
B
C
D
Solve for x.
Parallelograms are
Triangles
Trapezoids
Quadrilaterals
Hexagons
The opposite sides of a parallelogram are...
perpendicular
unequal
parallel
______ angles of parallelograms are congruent.
Consecutive
Opposite
Parallel
Diagonal
Consecutive angles of parallelograms are ______.
bisected
congruent
supplementary
complementary
The diagonals of a parallelogram _______ each other.
bisect
equal
are perpendicular to
complement
In parallelogram ABCD, ∠DAB ≅ ?
∠DAC
∠DCB
∠ABC
∠ADC
In parallelogram ABCD, AB≅?
BC
CD
DA
BE
Find the measure ot angle ∠WZY .
75
105
24
28
Find the measurement of ∠XYZ .
75
105
28
24
Find the measurement of side WZ.
24
105
75
28
Solve for x.
Find the measure of the angle indicated in the following parallelogram.
105
36
45
135
Solve for x.
Solve for x.
Give a reason.
Solve for x.
solve for Y
A parallelogram must be a rhombus if its diagonals
are congruent
bisect each other
do not bisect its angles
are perpendicular to each other
A parallelogram is always a rectangle if
the diagonals are congruent
the diagonals bisect each other
the diagonals intersect at right angles
the opposite angles are congruent
Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?
I. Parallelogram
II. Rectangle
III. Rhombus
IV. Square
All of the above
II, III and IV
II and IV, only
III and IV, only
Which of the following group of quadrilaterals have congruent diagonals?
I. Parallelogram
II. Rectangle
III. Rhombus
IV. Square
All of the above
II, III and IV
II and IV, only
III and IV, only
Which property is shown in the parallelogram that makes it a rectangle?
Diagonals are perpendicular to each other
Diagonals bisect each other
opposite sides congruent
Diagonals are congruent to each other
Which property is shown in the parallelogram that makes it a rhombus?
Opposite sides are congruent
Diagonals are perpendicular to each other
Adjacent sides are congruent
Diagonals are congruent
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals are congruent to each other
Diagonals are bsiect each other
Adjacent sides are perpendicular
Which of the following is NOT true about sides of a rectangle.
Opposite sides are parallel
Opposite sides are congruent
Consecutive sides are perpendicular
All sides are congruent
In a rectangle, opposite sides are congruent.
True
False
Solve for x.
What is the measure of angle 2?
54
108
72
36
MNKL is a square. Find the measure of angle MKN.
180 degrees
90 degrees
60 degrees
45 degrees
FAIR is a square, if FA = 5x + 7 and FR = 7x + 1, find the value of FR.
FR = 22
FR = 3
FR = 15
FR = 29
TECH is a rhombus, find the value of m∠TXE.
m∠TXE = 90°
m∠TXE = 45°
m∠TXE = 180°
Insufficient Context
Find m∠2 in the rhombus.
62
28
90
78
A parallelogram must be a rhombus if its diagonals
are congruent
bisect each other
do not bisect its angles
are perpendicular to each other
A parallelogram is always a rectangle if
the diagonals are congruent
the diagonals bisect each other
the diagonals intersect at right angles
the opposite angles are congruent
A parallelogram is a square if it has all the properties of
a rhombus and rectangle
a parallelogram and rhombus
a parallelogram and rectangle
trapezoid and rhombus
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals are congruent to each other
Diagonals are bsiect each other
Adjacent sides are perpendicular
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals bisect each other
Diagonals bisect their respective angles
Diagonals are congruent
Solve for x.
MNKL is a square. Find the measure of angle MKN.
180 degrees
90 degrees
60 degrees
45 degrees
Each diagonal of a rectangle bisects the opposite angles of the rectangle.
True
False
A parallelogram must be a rhombus if its diagonals
are congruent
bisect each other
do not bisect its angles
are perpendicular to each other
A parallelogram is always a rectangle if
the diagonals are congruent
the diagonals bisect each other
the diagonals intersect at right angles
the opposite angles are congruent
Which of the following group of quadrilaterals have diagonals that are perpendicular to each other?
I. Parallelogram
II. Rectangle
III. Rhombus
IV. Square
All of the above
II, III and IV
II and IV, only
III and IV, only
Which of the following group of quadrilaterals have congruent diagonals?
I. Parallelogram
II. Rectangle
III. Rhombus
IV. Square
All of the above
II, III and IV
II and IV, only
III and IV, only
Which property is shown in the parallelogram that makes it a rectangle?
Diagonals are perpendicular
Adjacent sides are perpendicular
Diagonals bisect each other
Opposite angles are congruent
A parallelogram is a square if it has all the properties of
a rhombus and rectangle
a parallelogram and rhombus
a parallelogram and rectangle
trapezoid and rhombus
Which property is shown in the parallelogram that makes it a rhombus?
Diagonals are perpendicular to each other
Diagonals are congruent to each other
Diagonals are bsiect each other
Adjacent sides are perpendicular
A parallelogram is a rhombus if
Diagonals are congruent
Diagonals bisect each other
Opposite sides are congruent
Diagonals bisect their respective angles
A parallelogram is a rhombus if
Adjacent sides are congruent
Diagonals bisect each other
Opposite sides are congruent
Adjacent sides are perpendicular
Solve for x.
What is the measure of angle 2?
54
108
72
36
