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Maths > Section 5 - Geometry > Flashcards

Section 5 - Geometry Flashcards

1
Q

Isosceles triangles have

A

2 same sides and 2 same angles

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2
Q

Where are alternate angles formed

A

In a z shape

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3
Q

Where are corresponding angles formed

A

In an f shape

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4
Q

Where are allied angles formed

A

In a c / u shape

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5
Q

Allied angles

A

Add to 180

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6
Q

Sum of exterior angles in a polygon =

A

360

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7
Q

For any polygon interior angle =

A

180 - exterior angle

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8
Q

In a rhombus/ parallelo

A

Opposite angles are equal and neighbouring angles add to 180

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9
Q

First circle rule

A

A tangent and radius meet at 90 degress

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10
Q

Second rule for circles

A

Two radii form a isosceles triangle

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11
Q

Third circle theorem

A

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

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12
Q

Fourth circle theorem

A

Angle at the centre is twice angle at circumference

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13
Q

Fifth circle theorem

A

Angle in semicircle is 90 degrees

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14
Q

Sixth circle theorem

A

Angles in same segment are equal

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15
Q

7th circle theorem

A

Opposite angles in a cyclic quadrilateral add to 180

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16
Q

8th circle theorem

A

Tangents from the same point are the same length

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17
Q

9th circle theorem

A

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

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18
Q

Congruent

A

Same size and shape

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19
Q

Name the 4 ways to prove a triangles congruent

A

Sss
Aas
Sas
Rhs

20
Q

Similar

A

Same shape different size

21
Q

Two triangles are similar if

A

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

22
Q

How to write a vector

A

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

23
Q

When do you use vectors

A

For translations

24
Q

What 3 details must you give for rotations

A

Angle of rotation
Direction of rotation
Centre of rotation

25
Q

What 2 details must you mention in enlargements

A

Scale factor
Centre of enlargement

26
Q

What happens when a scale factor is negetive

A

The shape moves to other side of centre of enlargement

27
Q

Area of a trapezium

A

Average of parallel sides x vertical height

28
Q

Area of sector

A

X ÷ 360 times area of full circle

29
Q

Ark length

A

X ÷ 360 x circumference of circle

30
Q

Surface area of cone

A

Pi x radius x slanted height

31
Q

Surface area of cylander

A

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

32
Q

Volume of cylinder

A

Pi x r² x height

33
Q

Volume of prism

A

Cross sectional area x length

34
Q

Volume of pyramid

A

1/3 × base area × vertical height

35
Q

Volume of cone

A

1/3 × pi r² × vertical height

36
Q

What is a frustum of a cone

A

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

37
Q

Volume of frustum

A

Volume of origional cone - volume of removed cone

38
Q

How does enlargement effect area and volume?

For a scale factor of n

A

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

39
Q

What is the front elevation

A

The view from the front

40
Q

What is the side elevation

A

View from one side

41
Q

What is the plan

A

The view you see from above

42
Q

What is a locus

A

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

43
Q

Type 1 of loci

A

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

44
Q

Type 2 of loci

A

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

45
Q

Type 3 of loki

A

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

46
Q

Type 4 loki

A

Points which are an equal distance from 2 given points

47
Q

How to plot a bearing

A

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

Maths (7 decks)

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