Unit 6 Flashcards
Comparison property of inequality
If a =b+c then a>c
In other words the sum is bigger than the parts when they are not equal to less than zero.
Triangle exterior angle theorem
If a triangle has an exterior angle, then that angle is equal to the value of the two interior angles on the oposite side of the triangle
The larges Angle in a triangle is…
Is oposite the longest side
The smallest angle in a triangle is oposite….
The smallest side.
Triangle inequality theorem
In order for a triangle to be a triangle, any pair of sides must add up to a number that is larger than the third side. Otherwise it is not a triangle
Hinge theorem
Hinge theorem
Degrees in a polygon formula
Sum of interior angles= (number of triangles)x(180*)
Sum of interior angles theorum
Sum= (n-2)(180*)
N=number of sides
Regular
All sides and angles are the same
Measure of a single angle in a regular polygon
(N-2)(180*)/2
Parelellogram
A four sided figure with 2 pairs of paralell lines
Theorem 3.6
If abcd is a parallelogram then the oposite sides are congruent
Theorem 6.4 supplamentary consecutive angle theorem
If abcd is a paralellogram then the 2 angles on the same side are supplametary
Theorem 6.5 oposite angle theorem
If abcd is a paralellogram, then the oposite angles are congruent
Theorem 6.6 Diagonal theorem for paralellograms
IF abcd is a paralellogram then it’s diagonals bisect eachother.
Paralell lines and transversals theorem
Rhombus
Rectangles and squares
Theorem 6.13 rhombus diagonals theorem
If I have a rhombus its diagonals are perpendicular
Theorem 6.14 rhombus diagonal bisector theorem
If I have a rhombus then it’s diagonals bisect the angles they start on
Theorem 6.15 rectangle diagonals theorem
If I have a rectangle, then it’s diagonals are congruent
What rules apply to squares and why
The rhombus and rectangle rules apply to squares, because a square is both a rhombus and a rectangle
Trapezoid
In an iscosceles trapezoid
The legs and base angle pairs are congruent
