Postulates & Theorems Flashcards
(31 cards)
Is a transversal intersects two parallel lines an alternate exterior angles are congruent
Alternate exterior angles
If a transversal intersects 2 parallel lines then corresponding angles are congruent
Corresponding angles theorem
Transversal intersect parallel lines then the same side interior are supplementary
Same side interior
If 2 lines and a transversal form same side interior angles are supplementary the lines are parallel
Converse same side interior
Transversal intersect parallel lines then alternate exterior angles are congruent
Alternate exterior angles
If two lines in a transversal form corresponding angles that are congruent then the lines are parallel
Converse of alternate exterior angles
If two lines and a transversal form alternate exterior angles that are congruent then 2 lines are parallel
Converse alternate exterior angles
If two lines are parallel to the same line then they are parallel to each other
Theorem 3-7
In a plane if two lines are perpendicular to that same line then they are parallel to each other
3-8
Through a point not on a line there is one parallel to the given line there is exactly one line through P parallel to T
Parallel
Sum of the measure of the angles of the triangle is 180
Triangle angle-sum
The sum of the measure of the angles of a n-gon is (n - 2)180
Polygon angle sum
What are the properties of a quadrilateral
Opposite sides are congruent
Opposite angles are congruent
Consecutive Angles are supplementary
Diagonals bisects
What are the properties of a parallelogram
All properties of quadrilateral
Consecutive supplementary angles
Properties of a rhombus
Diagonals are perpendicular
Diagonals bisect opposite angles
A segment joins the midpoint of two sides of a triangle than the segment is parallel to the third side and is half as long
Triangle mid-segment
If a point is on the perpendicular bi sector of a segment then it’s equal distance to the segment
Perpendicular bisector
If ur side is equal distant then it’s a perpendicular bisector
Converse perpendicular bisector
Contrapositive
~q -> ~p
Inverse
~p -> ~q
Converse
q -> p
Perpendicular bisector
Perpendicular to the base at the midpoint
Counterexample
The hypothesis is true but the conclusion is false
Parallel
to coplanar lines that do not intersect