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SYMMETRY & TRIANGLE AND ITS PROPERTIES QUIZ

Total questions: 85

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

4

d)

8

2.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
3.

How many lines of symmetry does this kite shape have?

a)

1

b)

2

c)

4

d)

0

4.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
5.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
6.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
7.
How many lines of symmetry does this shape have?
a)
2
b)
4
c)
6
d)
8
8.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
9.
a)
A
b)
B
c)
C
d)
D
10.
How many of these shapes have EXACTLY ONE line of symmetry?
a)
0
b)
3
c)
6
d)
9
11.
How many shapes have MORE THAN ONE line of symmetry?
a)
6
b)
3
c)
4
d)
2
12.
Which of the following letters does not have a line symmetry?
a)
H
b)
I
c)
Z
d)
X
13.
How many lines of symmetry does the flower have?
a)
2
b)
3
c)
6
d)
9
14.
What type of symmetry does this shape have?
a)
Only Rotational
b)
Only Line
c)
Both Rotational and Line
d)
Neither Rotational nor Line
15.

Determine whether the figure has line symmetry, rotational symmetry, both, or neither.

a)

Rotational

b)

Reflectional

c)

Both

d)

Neither

16.

A figure has _______ symmetry when a line (or lines) exists such that it appears as a reflection or mirror image.

a)

Line

b)

Rotational

c)

Point

17.

A figure has _________ symmetry when there are more than 1 position where it appears unchanged.

a)

Line

b)

Rotational

c)

Point

18.

Which of the shapes below has 4 lines of symmetry?

a)
b)
c)
19.

A Line of Symmetry divides a shape into ------ equal parts.

a)

3

b)

4

c)

2

d)

8

20.

Which diagram shows a dotted line that is not a line of symmetry?

a)
b)
c)
d)
21.

What is the angle of rotational symmetry in a regular octagon?

a)

36°

b)

45°

c)

60°

d)

72°

22.

A nonagon is a nine-sided polygon. If a regular nonagon was rotated about its center point, which angle of rotation would not map the figure onto itself?

a)

120°120\degree

b)

80°80\degree

c)

60°60\degree

d)

40°40\degree

23.
What is the order of rotational symmetry for the shape below?
a)
0
b)
1
c)
2
d)
3
24.
What is the order of rotation in the recycling symbol?
a)
1
b)
2
c)
3
d)
1,000
25.

Find the order of rotational symmetry in this shape.

a)

2

b)

3

c)

4

d)

5

26.

Find the order of rotational symmetry in this shape.

a)

3

b)

2

c)

1

d)

0

27.

Find the order of rotational symmetry in this shape.

a)

4

b)

8

c)

7

d)

6

28.

Find the order of rotational symmetry in this shape.

a)

6

b)

8

c)

7

d)

4

29.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
4
d)
6
30.
Identify the smallest angle of rotation that maps the image to itself.
a)
90°
b)
180°
c)
45°
d)
60°
31.
Identify the smallest angle of rotation that maps the image to itself.
a)
180°
b)
360°
c)
90°
d)
No rotational symmetry
32.
Identify the smallest angle of rotation that maps the image to itself.
a)
72°
b)
180°
c)
144°
d)
45°
33.
What are the angles of rotation for an octagon?
a)
multiples of 45
b)
multiples of 51.4
c)
multiples of 60
d)
multiples of 72
34.
What are the angles of rotation for a rectangle?
a)
multiples of 45
b)
multiples of 90
c)
multiples of 180
d)
360
35.
What is one of the angles of rotation needed to rotate this octagon onto itself?
a)
60
b)
135
c)
120
d)
240
36.
What are the angles of rotation for a trapezoid?
a)
multiples of 90
b)
multiples of 180
c)
multiples of 270
d)
360
37.
What is the order and angle of rotation of the flower?
a)
Order 6, 60 degrees
b)
Order 4, 90 degrees
c)
Order 3, 120 degrees
d)
Order 6, 254 Degrees
38.
Identify the smallest angle of rotation that maps the image to itself.
a)
60°
b)
None
c)
51.4°
d)
45°
39.

What is the line segment joining the mid-point of BC to its opposite vertex called?

a)

Median

b)

Altitude

c)

Angle Bisector

d)

Perpendicular Bisector

40.

What is the total measure of the three angles of a triangle?

a)

90 degrees

b)

180 degrees

c)

120 degrees

d)

270 degrees

41.

What is a triangle called in which all the three sides are of equal lengths?

a)

Scalene triangle

b)

Isosceles triangle

c)

Equilateral triangle

d)

Right-angled triangle

42.

In a right-angled triangle, what is the relationship between the square on the hypotenuse and the sum of the squares on its legs?

a)

Hypotenuse^2 = Leg1^2 / Leg2^2

b)

Hypotenuse^2 = Leg1^2 - Leg2^2

c)

Hypotenuse^2 = Leg1^2 + Leg2^2

d)

Hypotenuse^2 = Leg1^2 * Leg2^2

43.

What is the sum of the lengths of any two sides of a triangle in relation to the third side?

a)

Twice the third side

b)

Less than the third side

c)

Equal to the third side

d)

Greater than the third side

44.

What is a triangle called in which two sides are of equal lengths?

a)

Scalene triangle

b)

Isosceles triangle

c)

Right-angled triangle

d)

Equilateral triangle

45.

What is the property of an exterior angle of a triangle in relation to its interior opposite angles?

a)

Greater than the sum of its interior opposite angles

b)

Less than the sum of its interior opposite angles

c)

Equal to the sum of its interior opposite angles

d)

Unrelated to its interior opposite angles

46.

What is the Pythagoras Property useful for deciding about a triangle?

a)

Right-angled or not

b)

Size of triangle

c)

Type of triangle

d)

Color of triangle

47.

What is the property of a triangle that does not hold good if the triangle is not right-angled?

a)

Pythagoras Property

b)

Sum of the lengths of two sides

c)

Exterior angle property

d)

Median of a triangle

48.

What is the sum of the three angles of a triangle?

a)

180 degrees

b)

90 degrees

c)

120 degrees

d)

270 degrees

49.
What is the formula used to solve for the hypotenuse?
a)
a2+b2=c2
b)
a+b=c
c)
a2-b2=c2
d)
c-a=c
50.
Identify the hypotenuse.
a)
x
b)
z
c)
w
51.
What is the length of x?
a)
5.7
b)
10.6
c)
20
d)
400
52.
solve for c
a)
7
b)
9
c)
4
d)
13
53.
To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearest meter, how many meters would be saved if it were possible to walk through the pond? 
a)
35
b)
22
c)
58
d)
75
54.
Find the length of b in this triangle.
a)
31
b)
36
c)
60
d)
62
55.
Find x.
a)
35
b)
20
c)
8
d)
12
56.

Find the missing side of this right angled triangle...

a)

4.1cm

b)

2.4cm

c)

2.5cm

d)

4.2cm

57.

The hypotenuse is always.............

a)

The right angle side

b)

The shortest side

c)

The longest side

d)

On the outside

58.

Which is the correct property to find hypontenuse ?

a)

base + perpendicular = hypotenuse

b)

base - perpendicular = hypotenuse

c)

base x base + perpendicular x perpendicular

d)

None of them

59.

Choose correct property from the following -

a)

the measure of all angles of a equillateral triangle is equal to 60 degree

b)

the sum of all three angles of a triangle is equal to 100 degree

c)

A triangle have 7 exterior angles

d)

None of them

e)

all of them

60.

The exterior and interior adjacent angles forms a linear pair

a)

TRUE

b)

FALSE

c)

YES

d)

NO

e)

SOMETIMES

61.

Which of the following triangle has all its medians and altitudes same ?

a)

Equilateral triangle

b)

Right angled and scalene triangle

c)

Isosceles triangle

d)

all of them

e)

none of them

62.

Can you have any triangle with all the angles equal to 60 degree ?

a)

yes

b)

no

c)

false

d)

True

63.

IF THE BASE IS 12cm AND PERPENDICULAR IS 5cm . WHAT IS THE HYPOTENUSE ?

a)

14

b)

168

c)

26

d)

17

e)

NONE OF THEM

64.

On which two things triangles names are based on ?

a)

Shape

b)

Angles

c)

Size

d)

Angles and sides

e)

ALL OF Them

65.

Define the method of pythagoras property .

a)

hypotenuse2 + perpendicular2 = Base 2

b)

perpendicular 2 - Base 2 = hypotenuse

c)

perpendicular x perpendicular + base x base =hypotenuse2

d)

none of them

e)

perpendicular 2 + base2 = hypotenuse2

66.

To get from point A to point B  you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

a)

22

b)

58

c)

75

d)

35

67.

Find the value of "H"

a)

35.60

b)

61.03

c)

35.00

d)

35.71

68.

For the Pythagoras property to hold true the triangle must be

a)

Acute angled

b)

Right angled

c)

obtuse angled

d)

Can be of any kind (It doesn't matter)

69.

Choose the correct option for finding the hypotenuse of a triangle

a)

c-a=c

b)

a2+b2=ca^2+b^2=c

c)

a2b2=c2a^2-b^2=c^2

d)

a2+b2=c2a^2+b^{2^{ }}=c^2

70.

In a right angled triangle, the side opposite to the angle is called the _____________.

a)

Perpendicular

b)

Base

c)

Hypotenuse

d)

Height

e)

Median

71.

Find the measurement of

ACD\angle ACD  

a)

115°115\degree  

b)

65°65\degree  

c)

125°125\degree  

d)

Cannot be determined

72.

In an isosceles triangle the measure of one angle is 80 degrees. The measurement of the other two angles can be-

a)

45°and 50°45\degree and\ 50\degree

b)

35°and 65°35\degree and\ 65\degree

c)

Cannot be determined

73.

The sides of a triangle have lengths 7, 3.5 and ‘a’, where ‘a’ is a whole number. So the value of ‘a’ cannot be-

a)

6

b)

4

c)

7

d)

11

74.

Will an altitude always lie in the interior of the triangle?(just write 'T' or 'F' in capital letters.)

(a)  

75.

If the angles of a triangle are in the ratio 1 : 2 : 3, determine three angles.

a)

20,40,60

b)

15,30,45

c)

30,60,90

76.

The angles of a triangle are in the ratio 3 : 4 : 5. Find the smallest angle.

a)

5

b)

20

c)

43

d)

45

77.

Find  BAC and BCA\angle BAC\ and\ \angle BCA  


a)

A-40 and C-85

b)

A-50 and C-75

c)

A-60 and C-65

d)

A-70 and C-55

78.

Which one of these line segments represent the median of the  Δ\ \Delta  

a)

AB\overline{AB}  

b)

AC\overline{AC}  

c)

AD\overline{AD}  

d)

AL\overline{AL}  

79.

Find the value of X, Y and Z.\angle X,\ \angle Y\ and\ \angle Z.  

a)

x- 90 y-50 z-40

b)

x-80 y-90 z-60

c)

x-80 y-110 z-80

d)

x-80 y-100 z-50

80.

Two angles of a triangle are equal and the third angle is greater than each of those angles by 30°. Determine all the angles of the triangle.

a)

30,30,60

b)

40,70,70

c)

50,50,80

d)

Cannot be determined

81.

Show that the sum of the angles in a triangle is always 180 degrees.(don’t write “=180”)

(a)  

82.

Find the measure of the exterior X\angle X


a)

120°120\degree  

b)

40°40\degree  

c)

110°110\degree  

d)

140°140\degree

83.

Is it possible to have a triangle with the sides as 7,4,3?(just write yes or no)

(a)  

84.

Is it possible to have a triangle with lengths 10.2 cm, 5.8 cm and 4.5 cm?(just write yes or no)

(a)  

85.

The number of medians and altitude in me are of the same number. Who am I? (Select all correct questions)

a)

Equilateral triangle

b)

Equal sided triangle

c)

Scalene triangle

d)

Isosceles triangle

e)

There is no such triangle