Vocabulary
What does collinear mean?
Points that lie on the same line.
Points A, B and C are collinear and in that order. Find X.
AC= x+10
AB= 5
BC= 2x+6
-1
Define a bisector.
Bisection is the division of something into two equal or congruent parts
What is the distance formula?
distance formula
what is the midpoint formula
Midpoint formula
What does coplanar mean?
Points that lie on the same plane.
Points A, B and C are collinear. Point B is between A and C. Solve for x.
AC= 3x+3, AB= -1+2x, and BC=11. Find X.
7
Line L bisects segment PQ.S is the midpoint. PS=3x+2, SQ=4x-5. Find PQ.
x=7
Find the distance between (-4,-3) and (-1,1).
5
Find the midpoint of points (-3,0) and (-5,-3).
(-4,-1.5)
Where does a plane and a line intersect?
A plane and a line intersect at a single point.
Points A, B and C are collinear. B is the midpoint.
AC= 22, BC= x+14, and AB= x+10. Find X.
-1
Line L bisects line segment AC at point B.
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What is the distance between the points (-2,3) and (-7,-7)?
11.18
Find the midpoint between the coordinates (-2,3) and (-7,-7).
(-4.5,-2)
What is the definition of opposite ray?
An opposite ray is two rays that share the same endpoint and extend in directly opposite directions.
Points A, B and C are collinear. Point B is the midpoint. Find the length of AB.
AC=39
AB= 9x+7
BC=-3x+20
25
Why do we set both equations equal when working with problems with bisectors?
Because a bisector splits the segment into two equal parts.
If A(0,7) and B(3,6), then what is the distance from point A to B?
3.16
The midpoint of line segment AC, is point B(6,8). If endpoint A is located at (4,0), what is the coordinates for endpoint C?
(8,16)
If points A,B and C are collinear, name the two opposite rays on that line.
Ray AB and Ray BC
T is between R and S. If RT=2x+13, TS= 5x+12, and RS=x+17, then what is the value of X
-1.3333
Line K bisects line segment AC at point B. If AB=3x-0 and BC= 2(x+3), find AB.
x=6 and AB is 18
If A (1,-8) and B (-4,-7) then find the length of AB.
5.099
The midpoint of line segment EG, is at F (1,10). Endpoint E is located at (6,-2), what is endpoint G?
(-4,22)