Other Flashcards

1
Q

Congruent

A

Shapes identical in shape and size

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2
Q

Similar

A

Shapes with same angles or corresponding sides in same ratio

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3
Q

Enlargement

A

Shape stays exact;y the same but the size changes

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4
Q

Scale factor?
Centre of enlargement?
Determine what?

A

Size of the enlarged image
Location of enlarged image

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5
Q

A fractional enlargement produces?
A negative enlargement produces?

A

A smaller image than the original
An image on the opposite side of the centre of enlargement

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6
Q

The area scale factor is the …. of the length scale factor?
The volume scale factor is the … of the length?

A

Square
Cube

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7
Q

4 congruency rules

A

SSS- side, side, side
SAS- side, angle, side
ASA- angle, side, angle
RHS- right-angle, hypotenuse, side

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8
Q

Theta θ

A

The missing angle

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9
Q

Sin, cos, tan
Equations?

A

Sinθ= opposite/ hypotenuse
Cosθ= adjacent/ hypotenuse
Tanθ= opposite/ adjacent

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10
Q

Hand rules
Fingers?
Sin?
Cos?
Tan?

A

Pinky to thumb: 0, 30, 45, 60, 90
Sinθ= √bottom fingers /2
Cosθ= √top fingers /2
Tanθ= flip hand, √top fingers / √bottom fingers

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11
Q

Exact trig values
Sin 0, 30, 45, 60, 90

A

Sin0= 0
Sin30= 1/2
Sin45= √2 / 2
Sin60= √3 / 2
Sin90= 1

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12
Q

Exact trig values
Cos 0, 30, 45, 60, 90

A

Cos0= 1
Cos30= √3 / 2
Cos45= √2 / 2
Cos60= 1/2
Cos90= 0

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13
Q

Exact trig values
Tan 0, 30, 45, 60, 90

A

Tan0= 0
Tan30= 1 / √3
Tan45= 1
Tan60= √3
Tan90= X

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14
Q

Area of non right angle triangle equation

A

1/2 ab sin c

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15
Q

Sine rule

A

a / sineA = b / sinB = c / sinC
lowercase= sides
uppercase= angles

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16
Q

Cosine rule

A

a²=b²+c²-2bc cosA

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17
Q

3 bearings rules

A

Measured from North
Always 3 digits
Always clockwise

18
Q

Length of an arc equation

A

θ / 360 x πd

19
Q

Area of sector equation

A

θ / 360 x πr²

20
Q

4 circle theorems

A

-Angle at centre is twice angle at circumference
-Angle in a semicircle is a right angle
-Angles in same segment are equal
-Opposite angles in cyclic quadrilaterals are equal

21
Q

Vectors
Top number?
Bottom number?

A

Horizontal
Vertical

22
Q

When are vectors parallel?

A

IF one vector is a multiple of another

23
Q

When are vectors co linear?

A

When the vectors are parallel and have a point in common

24
Q

Simple interest

A

Initial amount x percentage x no. of years

25
Compound interest
Initial amount x (multiplier) to the power of the no. of years
26
P(A∪B)? P(A∩B)? P(A')?
A, B or both Intersection Everything but A
27
Surd rules
√a x √b = √ab √a x √a = a √a / √b = √a / b
28
Terminating decimal
Has a finite amount of numbers after the decimal
29
Recurring decimal
Decimal numbers repeat forever
30
Sample Random sample
Part of a population Part of a population where the data has equal chances
31
Stratified sample
Divides a population into smaller groups called strata
32
Frequency density
Frequency / class width
33
Area of bar equals?
Frequency
34
Cumulative frequency
Running total, adding frequencies through table
35
How to draw cumulative frequency graph
Plot end point against cumulative frequency, join dots up
36
Median
Half way up the cumulative frequency graph
37
Lower quartile? Upper quartile? Interquartile range?
1/4 way up cumulative frequency 3/4 way up cumulative frequency Upper-lower
38
Identity
Mathematical statement which is true for all values of a variable or set of variables
39
3 equations for the nth term of a quadtratic
2a 3a+b a+b+c
40
What does a.. Reciprocal Linear Quadratic Cubic graph look like?
Two curved lines that don't touch the axis in opposite quadrants Straight line U-shape Crosses the x-axis three times
41
Equation of a circle centre 0 Centre of a circle?
x²+y²=r² Negative of the two brackets, e.g (x+6) + (y+2)---> centre: (-6,-2)
42
Transformations of graphs y=f(x+a) ? y=f(x)+b ? y=f(-x) ? y=-f(x) ? y=f(ax) ? y=af(x) ?
Opposite, x co-ord moves Exactly what it says, y co-ord moves Reflection, x co-ord moves Reflection, y co-ord moves Opposite, x co-ord is divided Exactly what it says, y co-ord is timesed