Free Printable Geometry Class-9th

1.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

2.

What is the measure of ∠2?

a)

38

b)

58

c)

71

d)

142

3.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

4.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

5.

Find the value of x.

a)

x = 133

b)

x = 47

6.

Find y.

a)

50

b)

130

7.

Find the value of x.

a)

69

b)

135

c)

31

d)

145

8.

If angle 2 is 86^o, what is the measure of angle 5?

a)

86^o

b)

94^o

c)

194^o

d)

none of the above

9.

If <1 is 115^o what is the measure of < 5 ?

a)

75^o

b)

65^o

c)

115^o

d)

None of the above

10.

Angles x and y are.....

a)

alternate interior

b)

alternative exterior

c)

corresponding

d)

same-side interior

11.

Solve for x

a)

5

b)

90

c)

25

d)

10

12.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary; x=25

b)

Complementary; x=5

c)

Supplementary; x=25

d)

Supplementary; x=5

13.

Tell whether the angles are complementary or supplementary. Then find the value of x.

a)

Complementary, 15

b)

Supplementary, 16

c)

Complementary, 18

d)

Supplementary, 19

14.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

15.

Solve for angle 5

a)

50

b)

55

c)

45

d)

60

16.

Solve for angle 2

a)

65

b)

60

c)

110

d)

115

17.

What is the relationship between angle 1 and 2?

a)

Supplementary

b)

Complementary

c)

Vertical

d)

Obtuse

18.

Solve for x

a)

20

b)

25

c)

120

d)

180

19.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

20.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

angle bisector

21.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

22.

The angle relationship shown is -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

23.

If m∠1 = 30°, then m∠3 =

a)

30°

b)

60°

c)

150°

d)

undetermined

24.

Find the value of x.

a)

18°

b)

28°

c)

38°

d)

118°

25.

Find the value of x.

a)

38°

b)

52°

c)

142°

d)

152°

26.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

27.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

28.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

29.

If ∠BPD and ∠DPC have a sum of 72°. What is ∠APC?

a)

18°

b)

90°

c)

108°

d)

180°

30.

CHALLENGE: Find the values of x and y.

a)

x=7 ; y=25

b)

x=5 ; y=25

c)

x=7 ; y=5

d)

x=5; y=5

31.

I always have 4 right angles

a)

rectangle

b)

trapezoid

c)

parallelogram

d)

triangle

32.

This figure has only one set of parallel sides.

a)

square

b)

rectangle

c)

trapezoid

d)

parallelogram

33.

I can always be called a rectangle, parallelogram, rhombus and a square. What am I?

a)

trapezoid

b)

parallelgram

c)

rectangle

d)

square

34.

Name the shape

a)

parallelogram, rhombus, and rectangle

b)

rectangle and parallelogram

c)

square, rhombus, parallelogram and rectangle

d)

rectangle and rhombus

35.

I must have 4 right angles and 4 equal sides. What am I?

a)

trapezoid

b)

rectangle

c)

square

d)

parallelogram

36.

You can draw a line of symmetry through this trapezoid, you will have two smaller trapezoids.

a)

True

b)

False

37.

Name this shape

a)

trapezoid

b)

square

c)

rectangle

d)

parallelogram

38.

All quadrilaterals have at least one set of parallel sides?

a)

True

b)

False

39.

How many equal sides does a rhombus have?

a)

3

b)

2

c)

4

d)

0

40.

All rhombuses are parallelograms.

a)

False

b)

True

41.

Name the shape

a)

parallelogram, rectangle, and rhombus

b)

square and rhombus

c)

rhombus and parallelogram

d)

parallelogram

42.

All rhombuses are squares.

a)

True

b)

False

43.

If all squares are rectangles, then all rectangles are squares

a)

True

b)

False

44.

All rectangles must have 4 right angles, but they don't have to have 4 equal sides.

a)

True

b)

False

45.

What shape(s) would you make if you put two squares together?

a)

rectangle

b)

rectangle and parallelogram

c)

trapezoid

d)

square, rectangle, parallelogram, and rhombus

46.

Name the shape.

a)

parallelogram

b)

trapezoid

c)

triangle

d)

rhombus

47.

Which quadrilaterals must ALWAYS have four right angles

a)

squares

b)

rectangles

c)

square and rectangles

d)

parallelograms, squares, and rectangles

48.

What kind of angles do we ALWAYS see in squares and rectangles?

a)

acute angles

b)

obtuse angles

c)

right angles

49.

What is an angle called that is less than 90 degrees?

a)

right angle

b)

acute angle

c)

obtuse angle

50.

What is an angle that is more than 90 degrees?

a)

obtuse angle

b)

right angle

c)

acute angle

51.

What shape is this?

a)

rhombus

b)

triangle

c)

rectangle

d)

square

52.

What types angles can we see in rhombuses?

a)

Only Right Angles

b)

Only Right and Acute Angles

c)

Right, Obtuse and Acute Angles

d)

Only Acute and Obtuse Angles

53.

What are all the names for this figure?

a)

Parallelogram, Rectangle, Rhombus, Square

b)

Rectangle, Square

c)

Parallelogram

d)

Parallelogram, Square

54.

What is the name of a four sided polygon?

a)

quadrilateral

b)

pentagon

c)

hexagon

d)

triangle

55.

What shape is this?

a)

trapezoid

b)

square

c)

rectangle

d)

rectangle and parallelogram

56.

I can have an 1 obtuse, 1 acute, and 2 right angles at the same time. What quadrilateral am I?

a)

Square

b)

Parallelogram

c)

Trapezoid

d)

Rectangle

57.

What shape is this?

a)

rectangle

b)

square

c)

rhombus

d)

parallelogram

e)

All of them.

58.

Squares and rectangles are concave

a)

TRUE

b)

FALSE

59.

Quadrilaterals can be convex or concave.

a)

TRUE

b)

FALSE

60.

The quadrilateral with the most names is a ___________, and the quadrilateral with the least names is a _____________.

a)

square, trapezoid

b)

rectangle, rhombus

c)

rhombus, square

d)

square, rectangle

61.

If m∠5 = 110°, find the measure of ∠6.

a)

70°

b)

110°

c)

75°

d)

65°

62.

If m∠7 = 60°, find the measure of ∠4.

a)

65°

b)

110°

c)

60°

d)

75°

63.

Classify the pair of angles shown.

a)

supplementary

b)

complementary

c)

vertical

d)

corresponding

64.

Classify the pair of angles shown.

a)

supplementary angles

b)

complementary angles

c)

vertical angles

d)

corresponding angles

65.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

66.

A line that passes through parallel lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

67.

Find x.

a)

130

b)

50

68.

Solve for y.

a)

y = 20

b)

y = 120

c)

y = 60

d)

y = 10

69.

What is the value of x?

a)

13

b)

6.2

c)

29.8

70.

Which pair of angles is an example of corresponding angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

71.

Which pair of angles is an example of alternate interior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

72.

Which pair of angles is an example of alternate exterior angles?

a)

$\angle1\ and\ \angle8$

b)

$\angle3\ and\ \angle7$

c)

$\angle4\ and\ \angle5$

d)

$\angle2\ and\ \angle5$

73.

Which pair of angles is NOT an example of vertical angles?

a)

$\angle1\ and\ \angle4$

b)

$\angle6\ and\ \angle7$

c)

$\angle2\ and\ \angle5$

74.

What do you know about $\angle1$ and $\angle2$ ?

a)

They are congruent.

b)

They are supplementary.

75.

Which type of angles are NOT congruent?

a)

vertical angles

b)

corresponding angles

c)

consecutive interior angles

d)

alternate exterior angles

76.

Which is the correct equation to solve for x?

a)

$2x-10=4x+16$

b)

$2x-10+4x+16=180$

77.

A circle Passing through all three vertices of a triangle is called (a) of the triangle

78.

Chords at the same distance are of _______ length

a)

Different

b)

Twice

c)

Same

d)

Thrice

79.

The longest chord of a circle is called ______

a)

Diameter

b)

Long chord

c)

Radius

d)

Tangent

80.

If AB and CD are chords of a circle with center O and the values are given in the figure. What is the length of CD?

a)

2 cm

b)

5 cm

c)

4 cm

d)

6 cm

81.

The circum center of the right angled triangle lies at the _________ of the triangle.

a)

Midpoint of the base of the triangle

b)

Endpoint of the hypotenuse of the triangle

c)

Midpoint of the hypotenuse of the triangle

d)

Midpoint of the altitude of the triangle

82.

In the figure , let AB be the diameter of the circle. CD and EF be the equal chords. If < COA= 40° , what is <AOF?

a)

40°

b)

20°

c)

50°

d)

80°

83.

The perpendicular from the centre of a circle to a chord (a) the chord

84.

What is the angle around a point?

a)

180°

b)

90°

c)

270°

d)

360°

85.

In the figure, If O is the centre of a circle and OE is the perpendicular drawn to the chord AB and if AB= 6 cm, then what is the value of BE?

a)

3 cm

b)

4 cm

c)

2 cm

d)

5 cm

86.

Which of the following is Pythagoras theorem

a)

b)

c)

87.

Circles with exactly the same radius measures are

a)

Similar Circles

b)

Concentric Circles

c)

Congruent Circles

d)

Semicircle

88.

Equal chords subtend _________ angles at the centre.

a)

different angle

b)

equal

89.

If two chords subtend equal angle at the centre then the chords are ______________

a)

Equal

b)

different

90.

In circle X, chords AB and CD are congruent and AB is 9 units from X. Find the distance from CD to X.

a)

4.5 units

b)

9 units

c)

18 units

d)

cannot tell

91.

The region between the a chord and either of the arcs is called____

a)

An arc

b)

A sector

c)

A segment

d)

A semi

92.

Segments with endpoints on a circle are called _____.

a)

arcs

b)

radii

c)

chords

d)

polygons

93.

This is a picture of ___________.

a)

Minor Arc

b)

Major Arc

c)

Semi-Circle

d)

Central Angle

94.

How many chords?

a)

1

b)

2

c)

3

d)

none

95.

What is the part of the circle highlighted in red called?

a)

semi-circle arc

b)

major arc

c)

minor arc

d)

sector

96.

Which of the following names a radius?

a)

segment AC

b)

segment DB

c)

segment AB

d)

segement BC

97.

AB is a diameter of a circle, center O. C is a point on the circumference of the circle, such that ∠CAB = 26°.

What is the size of ∠CBA?

a)

90

b)

64

c)

32

d)

48

98.

L, M and N are points on the circumference of a circle, center O.

∠MON = 98°.

What is the size of ∠MLN?

a)

48

b)

47

c)

49

d)

50

99.

L, M and N are points on the circumference of a circle, center O.

∠MLN = 42°.

What is the size of ∠MON?

a)

21

b)

80

c)

84

d)

90

100.

V, W, X and Y are points on the circumference of a circle, center O. Chords VX and WY intersect at the point Z.

∠XVW = 72° and ∠VXY = 38°

What is the size of ∠VZW?

a)

38

b)

60

c)

70

d)

72

101.

Chords AB and CD intersect at the point X.

∠AXD = 92° and ∠CBA = 57°

What is the size of ∠DAX?

a)

21

b)

31

c)

41

d)

36

102.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

103.

Name the pictured part of the circle.

a)

Radius

b)

Central Angle

c)

Sector

d)

Center

e)

Arc

104.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

105.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Central Angle

e)

Arc

106.

Name the pictured part of the circle.

a)

Diameter

b)

Sector

c)

Radius

d)

Chord

e)

Arc

Geometry Class-9th

Total questions: 106

Worksheet time: 2hrs 46mins

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