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Maths > Geometry and trigonemtry > Flashcards

Geometry and trigonemtry Flashcards

1
Q

Kite

A
  • Two pairs of equal sides
  • One pair of equal angles
  • The diagonals bisect at right angles
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2
Q

Rhombus

A
  • Four sides of equal length
  • Two pairs of equal angles
  • Opposite sides are parallel
  • The diagonals bisect each other at right angles
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3
Q

Radius

A

The distance from the edge to the centre of a circle

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4
Q

Chord

A

A straight line joining two points on the circumference of a circle

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5
Q

Diameter

A

The distance from one side of a circle to the other through the centre

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6
Q

Circumference

A

The distance around the circle/The perimeter of a circle

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7
Q

Tangent

A

A straight line which touches the edge of a circle once

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8
Q

Arc

A

A part of the circumference of a circle

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9
Q

Sector

A

An area enclosed by two radii and an arc

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10
Q

Segment

A

An area enclosed by a chord and an arc

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11
Q

Quadrilateral

A

A 2D shape with four sides

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12
Q

Equilateral triangle

A

3 sides of equal length and 3 equal angles

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13
Q

Right-angled triangle

A

A triangle that has a right angle

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14
Q

Isosceles triangle

A

2 sides of equal length and the angles at the base of the equal sides are equal

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15
Q

Cyclic quadrilateral

A

A quadrilateral drawn inside a circle where every corner of the quadrilateral touches the circumference of the circle

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16
Q

Sum of the interior angles of a polygon

A

180*(n-2)

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17
Q

The exterior angles of a regular polygon

A

360/n

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18
Q

The interior angles of a regular polygon

A

(180*(n-2))/n

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19
Q

a2+b2

A

c2

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20
Q

sin

A

opposite/hypotenuse

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21
Q

cos

A

adjacent/hypotenuse

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22
Q

tan

A

opposite/adjacent

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23
Q

sin(0)

A

0

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24
Q

cos(0)

A

1

25
Q

tan(0)

A

0

26
Q

sin(30)

A

1/2

27
Q

cos(30)

A

root(3)/2

28
Q

tan(30)

A

root(3)/3

29
Q

sin(45)

A

root(2)/2

30
Q

cos(45)

A

root(2)/2

31
Q

tan(45)

A

1

32
Q

sin(60)

A

root(3)/2

33
Q

cos(60)

A

1/2

34
Q

tan(60)

A

root(3)

35
Q

sin(90)

A

1

36
Q

cos(90)

A

0

37
Q

tan(90)

A

Undefined

38
Q

Area of a triangle

A

(1/2)ab*sin(C)

39
Q

Area of a parallelogram

A

base*height

40
Q

Area of a trapezium

A

(1/2)(a+b)h

41
Q

Arc length

A

(angle/360)*2πr

42
Q

Sector area

A

(angle/360)*πr2

43
Q

Face

A

A flat surface

44
Q

Edge

A

Where two faces meet

45
Q

Vertex

A

A corner where edges meet

46
Q

Volume of a cuboid

A

lengthwidthheight

47
Q

Volume of a prism

A

area of the cross-section*length

48
Q

Volume of a cylinder

A

πr2*h

49
Q

Surface area of a cylinder

A

2πr2+2πrh

50
Q

Volume of a cone

A

(1/3)πr2h

51
Q

Surface area of a cone

A

πr2+πrh

52
Q

Volume of a sphere

A

(4/3)*πr3

53
Q

Surface area of a sphere

A

4πr2

54
Q

1l

A

1000cm3

55
Q

Length scale factor

A

k

56
Q

Area scale factor

A

k2

57
Q

Volume scale factor

A

k3

58
Q

How do you know if two figures are similar?

A

Their angles are equal and their sides are in proportion

59
Q

How do you prove two triangles are similar?

A
  • Side Side Side (SSS)
  • Angle Angle (AA)
  • Side Angle Side (SAS)

Maths (4 decks)

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