Free Printable BBC Geometry Revision: angles, polygon angles, 2D shapes

1.

Find the missing angle.

a)

60

b)

70

c)

50

d)

140

2.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

3.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

4.

What type of angle is this?

a)

acute

b)

obtuse

c)

right

5.

What is the measure of the missing angle?

a)

76

b)

66

c)

156

d)

154

6.

Find the missing angle. Find x.

a)

20^o

b)

70^o

c)

160^o

d)

180^o

7.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

8.

An angle that is less than 90^o.

a)

right

b)

acute

c)

obtuse

d)

straight

9.

What do the angles in an equilateral triangle measure?

a)

30, 60, 90

b)

45, 45, 90

c)

60, 60, 60

d)

35, 55, 90

10.

If two of the angles of a triangle are 30 and 70 degrees, the third angle measures...

a)

80

b)

100

c)

60

d)

90

11.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

12.

What angle corresponds to $\angle3$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

13.

What is the best term to describe this image?

a)

intersecting lines

b)

perpendicular lines

c)

parallel lines

d)

arrows

14.

What angle corresponds to $\angle7$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

15.

$\angle1$ and $\angle2$ are ___.

a)

Alternate Angles

b)

Co-Interior Angles

c)

Corresponding Angles

d)

Vertically Opposite Angles

16.

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.

17.

Find $\angle2.$

a)

$131\degree$

b)

$180\degree$

c)

$49\degree$

18.

Which statement is NOT true?

a)

Parallel lines have the same slope.

b)

Parallel lines intersect at one point.

c)

Perpendicular lines form a right angle.

19.

How can we describe these angles?

a)

Corresponding angles

b)

Alternate angles

c)

Interior angles

d)

Vertically opposite angles

20.

a)

55^o alternate

b)

55^o corresponding

c)

125^o alternate

d)

125^o corresponding

21.

Two Angles are Complementary when they add up to

a)

90 degrees

b)

180 degrees

c)

150 degrees

d)

360 degrees

22.

Intersecting lines cut each other at

a)

many points

b)

only three points

c)

One point

d)

Two points

23.

A reflex angle is

a)

More than 90 degrees

b)

More than 180 degrees

c)

Equal to 90 degrees

d)

Equal to 180 degrees

24.

Two parallel lines intersect at:

a)

One point

b)

Two points

c)

Three points

d)

None of these

25.

The exterior angles of a polygon add up to...

a)

360^o

b)

180^o

c)

200^o

d)

90^o

26.

What is the size of the exterior angle of a pentagon?

a)

100^o

b)

360^o

c)

72^o

d)

180^o

27.

What is the size of the exterior angle of a hexagon (six sides) ?

a)

360^o

b)

50^o

c)

60^o

d)

180^o

28.

What is the size of one exterior angle of a decagon (10 sides) ?

a)

90

b)

180

c)

360

d)

36

29.

The exterior angle of a regular polygon is 120^o. How many sides does this polygon have?

a)

3 sides

b)

4 sides

c)

5 sides

d)

6 sides

30.

Work out the missing angle

a)

92

b)

88

c)

103

d)

360

31.

Work out the size of one interior angle of this regular hexagon

a)

120

b)

720

c)

100

d)

360

32.

Work out the size of each interior angle of this decagon

a)

150

b)

130

c)

144

d)

154

33.

What is the SUM of the angle measures in a 35-gon?

a)

180°

b)

5940°

c)

1080°

d)

169.71°

34.

A polygon's interior angles add up to 2700. How many sides does the polygon have?

a)

11

b)

15

c)

17

d)

19

35.

If an interior angle of a regular polygon measures 140°, how many sides does the polygon have?

a)

13 sides

b)

18 sides

c)

4 sides

d)

9 sides

36.

Given a regular polygon. Determine is the value of x ?

a)

x =72 degrees

b)

x = 45 degrees

c)

x = 360 degrees

d)

x = 540 degrees

37.

Which statement is always true for parallelograms?

a)

All sides have the same length

b)

All angles have the same measure

c)

Opposite sides are equal in length

d)

Opposite angles have different measures

38.

What is the name of this shape?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Decagon

39.

What is the name of this shape?

a)

Pentagon

b)

Hexagon

c)

Octagon

d)

Decagon

40.

What is the name of this shape?

a)

Parallelogram

b)

Rhombus

c)

Diamond

d)

Kite

41.

How many sides does a hexagon Have?

a)

6

b)

7

c)

8

d)

9

42.

How many corners does a dodecagon have?

a)

8

b)

10

c)

12

d)

14

43.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

44.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

45.

How many lines of symmetry does this shape have?

a)

2

b)

3

c)

4

d)

6

46.

How many lines of symmetry does a parallelogram have?

a)

0

b)

1

c)

2

d)

4

47.

Which shapes does not have parallel lines?

a)

Parallelogram

b)

Square

c)

Regular Octagon

d)

Regular Pentagon

48.

Which regular polygon does not tessellate?

a)

Square

b)

Equilateral Triangle

c)

Pentagon

d)

Hexagon

49.

What is the mathematical name for this shape?

a)

Heptagon

b)

Septagon

c)

Irregular Heptagon

d)

None of the above

50.

This shape has rotational symmetry of order...

a)

0

b)

1

c)

5

d)

10

51.

This shape has rotational symmetry of order...

a)

0

b)

1

c)

2

d)

3

52.

This shape has rotational symmetry of order...

a)

1

b)

2

c)

3

d)

4

53.

What is the name of a 9-sided shape?

a)

Nonagon

b)

Ninagon

c)

Ninegon

d)

Nunagon

54.

How many pairs of parallel sides does a trapezium have?

a)

1

b)

2

c)

3

d)

4

55.

Choose any equilateral triangles

a)

b)

c)

d)

56.

Choose any isosceles triangles

a)

b)

c)

d)

57.

Choose any right-angled triangles

a)

b)

c)

d)

58.

Choose the regular polygons.

a)

b)

c)

d)

e)

59.

Which of these are NOT polygons?

a)

b)

c)

d)

e)

60.

Tick all the properties that describe and isosceles triangle.

a)

Has three equal angles

b)

Has two equal sides

c)

Has two equal angles

d)

Has no equal sides

e)

Has no equal angles

BBC Geometry Revision: angles, polygon angles, 2D shapes

Total questions: 60

Worksheet time: 1hrs 23mins

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