Vocabulary
Two or more points that fall on the same line
Collinear
Through any two points there is exactly one...
Line
If a segment, AB, has a C between A and B, and AC=12 and CB= 15, What is the length of AB?
27
An angle that is less than 90 degrees
Acute
The point, segment or line that goes right through the middle of a segment.
Midpoint
2 or more points or lines that lie on the same plane
Coplanar
If two distinct lines intersect, then they intersect in exactly one...
Point
What does it mean if a segment has a midpoint?
That the midpoint cuts the line in half
A pair of adjacent angles whose non common sides are opposite rays
a linear Pair
An angle with a measure of more than 90 degrees
obtuse angle
Angles with the same measure or segments with the same length
Congruent
If three points A, B, and C are collinear and B is between A and C, then AB +BC = AC. What postulate am I? ( Not the #)
Segment Addition Postulate
Congruent segments have the same...
Length
_________ Lines create 90 degree angles
Perpendicular
Angles that add up to 180 degrees
Supplementary Angles
Angles whose sides are formed by opposite rays
Vertical Angles
If point B is in the interior of Angle AOC, then the measure of Angle AOB + measure of Angle BOC = measure of Angle AOC. What postulate am I? ( Not the #)
Angle Addition Postulate
If a segment, AC has a midpoint, B and the length of the segment is 53 units, and AB= x+ 1.5, then what is the value of x?
x=25
Point S in in the interior of angle ROT, which is 155 degrees, angle ROS=4x-20 and angle SOT= 3x+14. what is the value of x?
x=23
Angles that add up to 90 degrees
complementary angles
Angles that are on the same plane, that have a common vertex, have a common side, and have no common interior points
Adjacent Angles
If two angles form a linear pair then they are...
Supplementary
Line AC has point B between A and C. AC= 48, AB= 2x+7, BC= 3x-9, What does x equal?
x=10
Point S in in the interior of angle ROT, which is 155 degrees, angle ROS=4x-20 and angle SOT= 3x+14.
What is the value of ROS?
72 degrees
The end point of the angle where the two sides meet
The vertex