What's the Point?
continuous and one dimensional, through any two points there is one
What is a line?
The coordinates of the midpoint of a segment are ____ of the x and y coordinates of the endpoints
What are averages
Two positive angles whose angles have a sum of 90 degrees
What are complimentary angles
A line that intersects two or more coplanar lines at different points
What is a transversal?
written as an "if, then statement" in which p is the hypothesis and q is the conclusion
What is a conditional statement?
consists of two endpoints and all the points in between
What is a line segment?
p=2l+2w
What is the perimeter of a rectangle?
two positive angles whose measure have a sum of 180 degrees
What are supplementary angles?
When two angles lie between two parallel lines and are on opposite sides of a transversal
What are alternate interior angles?
the opposite of an original statement
what is a negation?
Consists of an end point A and all the points on AB that lie on the same side of A as B
What is a ray?
A= 1/2(bh)
What is the area of a triangle
When the side of two angles form two pairs of opposite rays
What are vertical angles?
If two parallel lines are cut by a transversal t, then the pairs of consecutive interior angles are supplementary
Original statement: If I'm thirsty, then I should drink water
Becomes: If I drink water, then I am thirsty
What is a converse?
line segments or angles of the same measure
What is congruent?
( x1+x2 , y1+y2 )
2. 2
What is the midpoint formula?
Two adjacent angles whose non common sides are opposite rays and are supplementary
What is a linear pair?
If two parallel lines are cut by a transversal, then the pairs of angles on the exterior of the parallel line on opposite sides of the transversal are congruent
What is the alternative exterior angle theorem?
First write the converse, then negate both the hypothesis and the conclusion
What is a contrapositive?
point that divides a line segment into two congruent segments
What is the midpoint?
AB= THE SQUARE ROOT OF (x2-x1)2+(y2-y1)2
What is the distance formula?
If we have two opposite rays and two angles opposite of each other, one being 98 degrees and the other being (5w+3) we use this theorem to solve for w
Vertical Angle Congruence Theorem
If two parallel lines are cut by a transversal and the measure of angle one is unknown but the supplementary angle to angle one is 136 degrees, what is the measure of x, if 7x+9 degrees is the alternate exterior angle to angle one.
What is x=5?
When a conditional statement and it's converse are both true you can say "if and only if"
What is a biconditional statement?