Properties Flashcards
1
Q
Sum of interior angles = ?
A
180(n-2) - Each interior angle is 180(n-2)/n
2
Q
Area of an equilateral triangle
A
s^2*sqrt(3)/4
3
Q
Height of an equilateral triangle
A
s*sqrt(3)/2
4
Q
Sides of 30-60-90 triangles
A
1 : sqrt(3) : 2
5
Q
Sides of 45-45-90 triangles
A
1 : 1 : sqrt(2)
6
Q
Obtuse triangle rule
A
c^2 > a^2 + b^2
7
Q
Common right triangles
A
3:4:5 / 5:12:13 / 8:15:17 / 7:24:25 / 9:40:41
8
Q
Properties of a rectangle
A
- All angles are 90 degrees
- Opposite sides are equal
- Opposite sides are parallel
- Diagonals bisect each other
9
Q
Properties of a square
A
- All angles are 90 degrees
- All sides are equal
- Opposite sides are parallel
- Diagonals bisect PERPENDICULARLY
10
Q
Properties of a parallelogram
A
- Opposite angles are equal
- Opposite sides are equal
- Opposite sides are parallel
- Diagonals bisect each other
- Sum of adjacent angles is 180 degrees
11
Q
Properties of a rhombus
A
- Opposite angles are equal
- All sides are equal (only difference from parallelograms)
- Opposite sides are parallel
- Diagonals bisect PERPENDICULARLY
- Sum of adjacent angles is 180 degrees
- Area = b*h OR (diagonal 1 * diagonal 2)/2
12
Q
Properties of a trapezium
A
- Only one pair of opposite sides are parallel
- Area = 0.5 (AB + CD)*h (AB and CD are parallel)
13
Q
Properties of a regular hexagon
A
- Longest diagonal = 2*side
14
Q
Properties of a cuboid
A
- Surface = 2(ab + bc + ca) ; 6a^2 for a cube
- Diagonal = sqrt(a^2 + b^2 + c^2) ; sqrt(3)*a for a cube
15
Q
Volume of a cone
A
- Volume = 1/3 * pi * r^2 * h