Section 5 - Geometry

Question 1

Isosceles triangles have

Answer 1

2 same sides and 2 same angles

Question 2

Where are alternate angles formed

Answer 2

In a z shape

Question 3

Where are corresponding angles formed

Answer 3

In an f shape

Question 4

Where are allied angles formed

Answer 4

In a c / u shape

Question 5

Allied angles

Answer 5

Add to 180

Question 6

Sum of exterior angles in a polygon =

Answer 6

360

Question 7

For any polygon interior angle =

Answer 7

180 - exterior angle

Question 8

In a rhombus/ parallelo

Answer 8

Opposite angles are equal and neighbouring angles add to 180

Question 9

First circle rule

Answer 9

A tangent and radius meet at 90 degress

Question 10

Second rule for circles

Answer 10

Two radii form a isosceles triangle

Question 11

Third circle theorem

Answer 11

The perpendicular bisector of a chord passes through the centre of the circle

Question 12

Fourth circle theorem

Answer 12

Angle at the centre is twice angle at circumference

Question 13

Fifth circle theorem

Answer 13

Angle in semicircle is 90 degrees

Question 14

Sixth circle theorem

Answer 14

Angles in same segment are equal

Question 15

7th circle theorem

Answer 15

Opposite angles in a cyclic quadrilateral add to 180

Question 16

8th circle theorem

Answer 16

Tangents from the same point are the same length

Question 17

9th circle theorem

Answer 17

Angle between a tangent and chord is always equal to the angle in the opposite segment

Question 18

Congruent

Answer 18

Same size and shape

Question 19

Name the 4 ways to prove a triangles congruent

Answer 19

Sss
Aas
Sas
Rhs

Question 20

Similar

Answer 20

Same shape different size

Question 21

Two triangles are similar if

Answer 21

All angles match up
All sides proportional
2 sides proportional and angle between is the same

Question 22

How to write a vector

Answer 22

(X over y)
X is the horizontal
Y is the vertical

Question 23

When do you use vectors

Answer 23

For translations

Question 24

What 3 details must you give for rotations

Answer 24

Angle of rotation
Direction of rotation
Centre of rotation

Question 25

What 2 details must you mention in enlargements

Answer 25

Scale factor Centre of enlargement

Question 26

What happens when a scale factor is negetive

Answer 26

The shape moves to other side of centre of enlargement

Question 27

Area of a trapezium

Answer 27

Average of parallel sides x vertical height

Question 28

Area of sector

Answer 28

X ÷ 360 times area of full circle

Question 29

Ark length

Answer 29

X ÷ 360 x circumference of circle

Question 30

Surface area of cone

Answer 30

Pi x radius x slanted height

Question 31

Surface area of cylander

Answer 31

(2 x pi x radius x height) + ( 2 x pi x r²)

Question 32

Volume of cylinder

Answer 32

Pi x r² x height

Question 33

Volume of prism

Answer 33

Cross sectional area x length

Question 34

Volume of pyramid

Answer 34

1/3 × base area × vertical height

Question 35

Volume of cone

Answer 35

1/3 × pi r² × vertical height

Question 36

What is a frustum of a cone

Answer 36

What's left when the top part of cone is cut off

Question 37

Volume of frustum

Answer 37

Volume of origional cone - volume of removed cone

Question 38

How does enlargement effect area and volume? For a scale factor of n

Answer 38

The sides are n times bigger The areas n² times bigger The volumes n³ times bigger

Question 39

What is the front elevation

Answer 39

The view from the front

Question 40

What is the side elevation

Answer 40

View from one side

Question 41

What is the plan

Answer 41

The view you see from above

Question 42

What is a locus

Answer 42

A line or region that shows all the points which fit a given rule

Question 43

Type 1 of loci

Answer 43

Points are a fixed distance from a given point. A circle

Question 44

Type 2 of loci

Answer 44

Points are a fixed distance from a given line A sausage shape

Question 45

Type 3 of loki

Answer 45

Points are an equal distance from 2 given lines. Line through the middle

Question 46

Type 4 loki

Answer 46

Points which are an equal distance from 2 given points

Question 47

How to plot a bearing

Answer 47

Find the word from in the question and put your pencil at that point Draw a North line Draw in the angle clockwise to the north angle