Analytical Geometry

Question 0

how to work out if the lines are perpindicular

Answer 0

if the lines are perpindicular, then gradient1 X gradient2 = -1.

Question 1

Define Parallel lines

Answer 1

they are parallel if their gradient is the same

Question 2

5 ways to prove that a quadrilateral is a parollelogram

Answer 2

opposite sides of a quad are parallel
opposite sides are equal
opposite angles are equal
diagonals bisect
is a pair of opposite sides are equal and parallel, then it is a parallelogram.

Question 3

proof for a rectangle

Answer 3

is a parallelogram
all int s are equal
diagonals are equal

Question 4

proof for a rhombus

Answer 4

is a parollelogram
all sides are equal
diagonals are perpindicular
diagonals bisect the int s

Question 5

proof for a square

Answer 5

is a rhombus

all int s between the diagonals and the sides are 45º

Question 6

proof for a kite

Answer 6

two pairs of adjacent sides are equal
diagonals are perpendicular
the longer diagonal bisects the smaller one
diagonal between two equal sides bisects the int s