Definitions
(answer should be a question)
(answer should be a question)
indicates a location
Line Intersection Postulate
If 2 distinct line intersect then they intersect at exactly 1 point.
Two angles that add up to 180 degrees
A, B, C are three points of a line AC = BC = 7. The coordinate of C is 6. The coordinate A is greater than the coordinate of B. What is the coordinate of B?
On your line from least to greatest it should be B, C, A. If C is at 6 and the length of BC is 7 then B is 7 units away from 6 in the negative direction.
So B is -1
What is the formula for a midpoint? (x,y)
*write on board*
A plane that extends in 3 directions
What is a half-plane?
Two Point Postulate
a ray that divides an angle into two congruent angles
what is an angle bisector?
Angle POR is a right angle. Ray OT bisects Angle POR. Angle POT = 4x +5. What is the value of x?
Angle POT = 45, so
4x+5 = 45
4x = 40
x=10
What is the formula to find the distance?
*write on board*
A point that divides a segment into 2 congruent segments.
What is a midpoint?
Three Point Postulate
Through any three noncollinear points there is exactly one plane
two angles that are adjacent and supplementary
what are linear pairs?
B is the midpoint of segment AC. AB = 3x+5 and BC 7x-11. What is AC?
x=4 so, the length of AC = AB + AC
AC = 3(4)+5 +7(4)-11
AC = 12+5+28-11
AC= 34
Given points A(-5,6) and B(-11,3). find AB
AB = sqrt of 45
Set of point(s) that two figures have in common
What is an intersection?
Segment Addition Postulate
If C is between AB then AC+CB=AB
*letters may vary
If two angles are vertical then they are congruent
A supplement of an angle is 3 less than twice as large as the angle. What is the angle and its supplement?
The angle is 61 degrees and its supplement is 119
Given points S(-4,9) and T(5,-19) find the midpoint.
x = 1/2
y coordinate for the midpoint is (9+(-19)) divided by 2
y=-5
So the midpoint is (1/2, -5)
A point, line, segment, or ray that intersects a segment at the midpoint
What is a segment bisector?
Angle Addition Postulate
Angle ABC + Angle CBD = Angle ABD
*must include a drawing of the original angle*
if two angles form a linear pair then they are supplementary
State sometimes, always or never for the following statements...
a) If two angles are complementary then they are adjacent
b) If two angles are adjacent then they are a linear pair
c) If an angle is acute, then it has a supplement and a complement
a) sometimes
b) never
c) always
and Point B is (1,5)
C is (6,7)