Points, Lines & Planes
If LN= 6x - 5, LM = x + 7 and MN= 3x + 20, find MN.
MN=68
If K is the midpoint of line segmen JL, JK= 8x + 11 and KL= 14x - 1, find JL.
JL= 54
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(-2, -5) and B(6, -1).
P(0, -4)
Adjacent angles are two angles in the same plane with a common _________ and a common _________, but no common interior points.
vertex; side
Determine whether line QR and line ST are parallel, perpendicular, or neither.
Q(-8, 7), R(-7, 2), S(-8, 13), T(-11, -2)
Neither
If RS= 23 - 2x, ST= 9x - 5, and RT= 39, find RS.
RS= 17
Give the points below, find XY. Round to the nearest hundredth.
X(-9, 2) and Y(5, -4)
XY=15.23
Determine the point P that partitions the directed line segment AB into a ratio of 1:3, where A(2, 6) and B(6, -10).
P(3, -2)
A _______ is a pair of adjacent angles whose noncommon sides are opposite rays.
Linear Pair
Write a linear equation that passes through the points (-3, 3) and (9, -13).
y = -4/3x - 1
If line n bisects line segment CE, find CD.
CD= 15
Find the midpoint of line segment AB if A(-3, 8) and B(-7, -6).
(-5, 1)
Determine the point P that partitions the directed line segment AB into a ratio of 1:1, where A(-5, 2) and B(3, 6).
P(-1, 4)
Complementary angles are two angles whose measures have a sum of _______.
90 degrees
Write a linear equation that passes through the point (2, -9) and has a slope of -5.
y = -5x + 1
If line y bisects line segment AC, AB= 4 - 5x, and BC= 2x + 25, find AC.
AC= 38
If Q is the midpoint of line segment PR, find the coordinates of R if P(11, -2) and Q(4, 3).
(-3, 8)
Determine the point P that partitions the directed line segment AB into a ratio of 2:3, where A(1, -5) and B(9, -1).
P(4.2, -3.4)
or
P(21/5, -17/5)
The kind of angle formed by the noncommon sides of two adjacent and complementary angles is a ________.
Right Angle
Write an equation that is pararllel to 3x - 2y = 14 and passes through the point (-6, -11).
y = 3/2x - 2
If S is the midpoint of line segment RT, RS= 5x + 17, and ST= 8x - 31, find RS.
RS= 97
Find the coordinates of Z if Y is the midpoint of line segment XZ, X(-10, 9), and Y(-4, 8).
(2, 7)
Points C, D, and E are collinear on CE, and CD:DE=3/5, C is located at (1, 8), D is located at (4, 5), and E is located at (x, y). What are the values of x and y?
E(9, 0)
___________ angles are two angles whose measures have a sum of 180 degrees.
Supplementary
Write an equation that is perpendicular to x - 3y = 3 and passes through the point (5, -9).
y = -3x + 6