Properties of Special Quadrilaterals Flashcards
Properties of a Parallelogram
- Opposite sides of a parallelogram are congruent
- Opposite sides of a parallelogram are parallel
- Opposite angles of a parallelogram are congruent
- Diagonals of a parallelogram bisect each other
- Any pair of consecutive angles of a parallelogram are supp.
Properties of Rectangles
- All properties of a parallelogram apply
- all angles are right angles
- the diagonals are congruent
Properties of Kites (‘Half a Rhombus’)
- Two disjoint pairs of consecutive sides are congruent
- the diagonals of a kite are perp
- one diagonal is the perp bisector of the other diagonal
- one of the diagonals of a kite bisects a pair of opposite angles
- one pair of opposite angles of a kite are congruent
Properties of Rhombus
- all properties of parallelogram apply
- all properties of a kite apply
- the diagonals of a rhombus bisect angles
- the diagonals of a rhombus are perp. bisectors of each other
- the diagonals of a rhombus divide the rhombus into four congruent right triangles
properties of squares
- all properties of rectangle apply
- all properties of a rhombus apply
- the diagonals form four congruent isos right triangles
properties of isos trapezoids
- the legs are congruent
- the bases are parallel
- the lower base angles are congruent
- the upper base angles are congruent
- the diagonals are congruent
- any lower base angle is supp. to any upper base angle
Formula for how many degrees there are in the sum of the interior angles of a polygon
180(n-2)
Formula for how many diagonals can be drawn
2
Formula for measure of an interior angle
180 - 360/n
formula for exterior angles
360/n
Name of 3 sided polygon
triangle
4 sided polygon
quadrilateral
5 sided polygon
pentagon
6 sided polygon
hexagon
7 sided polygon
heptagon
8
octagon
9
nonagon
10
decagon
12
dodecagon
15
pentadecagon
Midline Theorem
a segment joining two midpoints of a triangle is parallel to and half the measure of the third side
EAIT
Exterior Angle Inequality Theorem
Exterior angle is greater than either remote interior angle
EAT
Exterior Angle Theorem
The measure of an exterior angle of a triangle is equal to measure of the remote interior angles
No Choice Theorem
If 2 angles of a triangle are congruent to 2 angles of another triangle, the third angles are congruent
AAS
Angle Angle Side
If two corresponding angles and a non corresponding side of a triangle are congruent than the triangles are congruent
