Higher maths

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- a perpendicular bisector is a line
- which cuts through the midpoint of a line at right-angles
- the set N is a subset of W, which is a subset of Z, which is a subset of Q,...
- true
- set Q contains
- rational numbers; numbers which can be written as fractions of integers (-3, 1/3, 0.25, -1/2)
- set Z contains
- integers; positive and negative whole numbers (...-2
- set W contains
- whole numbers; natural numbers and zero (0
- set R contains
- real numbers; all points on the number line (rational numbers and irrational numbers, such as p...
- an empty set has
- no elements
- A is a subset of B if
- all of the objects in A are also in B
- a set is
- a collection of objects (usually numbers)
- the three perpendicular bisectors in a triangle are concurrent
- true
- three medians of a triangle are concurrent
- true
- altitude of a triangle is a line
- through a vertex and perpendicular to the opposite side
- median of a triangle is a line
- through a vertex and the midpoint of the opposite side
- the three angle bisectors of a triangle are concurrent
- true
- the three altitudes of a triangle are concurrent
- true
- a line parallel to the x-axis and crossing the y-axis at point c has the eq...
- y = c
- lines are perpendicular when
- they are at right-angles to each other
- points are proven to be collinear when
- the gradient between the first and second points is the same as the gradient between the second...
- points which are collinear are
- on the same straight line
- lines are concurrent when
- there is a point which they all pass through
- the gradient of the line with equation y = mx + c is
- m
- A line parallel to the y-axis and crossing the x-axis at point k has the eq...
- x = k
- general form of equation of a straight line is
- ax + by + c = 0; where (a,b) is a point on the line and c is the height it crosses the y-axis a...
- lines are proven to be perpindicular when
- the gradient of the first line multiplied by the gradient of the second line is equal to -1 (un...
- the gradient of a line is equal to
- the change in height divided by the change in horizontal distance (y2-y1 / x2-x1) or the tan of...
- the gradient of a line parallel to the y-axis is
- undefined
- lines with a gradient of zero are
- parallel to the x-axis (flat)
- lines are parallel when they have
- the same gradient
- lines with negative gradients slope
- down from left to right
- lines with positive gradients slope
- up from left to right

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