geometry Flashcards
characteristics of shapes
1
Q
isosceles triangle
A
- the line joining the midpoint of the base to the opposite vertex is perpendicular to the base
- the perpendicular bisector of the base passes through the opposite vertex
- the base angles are equal
2
Q
cosine rule
A
c^2=a^2+b^2-2ab*cos(C)
3
Q
sine rule
A
a/sinA=b/sinB=c/sinC
4
Q
parallelograms
A
- opposite sides are equal in length
- two pairs of parallel sides
5
Q
square
A
- four equal sides
- sides meet at right angles
6
Q
rectangle
A
- pairs of opposite sides are equal in length
- sides meet at right angles
- opposite sides are parallel
7
Q
rhombus
A
- four equal sides
- diagonals are perpendicular
8
Q
trapezium
A
- one pair of parallel sides
9
Q
kite
A
- two pairs of adjacent sides that are equal in length
- perpendicular diagonals
- diagonals do NOT bisect eachother
10
Q
what does bisect mean
A
divide into two parts
11
Q
semicircle 90 degree theorem
A
if an angle from the circle joins either end of the diameter, the angle will always be 90 degrees.
12
Q
circle tangent and radius
A
always perpendicular
13
Q
what does subtend mean
A
subtend means to enclose
14
Q
convex polygon
A
shape where all interior angles are less than or equal to 180 degrees
15
Q
what is the sum of all the exterior angles of a convex polygon
A
360
16
Q
what does circumscribed mean
A
the vertices of the polygon intersect with the circumference of the circle