Points, Lines, Planes
Two angles with measures that add up to 180 are called what?
Supplementary
If AB=12 and BC=23, what is the length of AC?
AC = 35
Find the distance between A and B if A(5, -7) and B(4, -3). Round to the nearest tenth.
d = 4.1
When we say two angles are complementary, what does that mean?
Their angles measures add up to 90 degrees
What do we call angles that are across from each other when two lines cross?
Vertical angles
Points that lie on the same plane are called what?
Coplanar
If RS = 23-2x, ST = 9x-5, and RT = 39, find RS.
RS = 17
Find the distance between the points: (1, -8) and (5, 6). Round to the nearest tenth.
d = 14.6
What does an angle bisector do?
It splits the angle into two congruent angles
Angle 1 and angle 2 are complementary. If angle 1 = (2x + 8) and angle 2 = (5x - 2), what is x?
x = 12
Lines that intersect and form right angles are what?
Perpendicular
If F is the midpoint of EG, EF=4x+4 and FG=7x-5, find EG.
EG = 32
Find the midpoint of the given endpoints:
(-2, 7) and (-4, 2)
Midpoint = (-3, 4.5)
On the board
Find the value of x.
x = 6
On the board
Complementary
The intersection of two rays at a common endpoint form what?
Angle
On the board
If line n bisects CE, find CD.
CD = 15
If Y is the midpoint of segment XZ, find the coordinates of Z if X(2.5, -10) and Y(5, -14).
Z = (7.5, -18)
On the board
If angle TUV=(9x+1), TUW=(7x-9), and WUV=(5x-11), find the value of x.
x=7
On the board
x = 14
Two angles that share a common vertex or side are what?
Adjacent
If AB = -1 + 2x, BC = 11, and AC = 3x + 3, find AC.
AC = 24
If B is the midpoint of segment AC, find the coordinates of C if A(11,-2) and B(4,3).
C = (-3, 8)
On the board
If BD bisects angle ABC, and angle DBC = 81o and ABC = (8x +2)o, find the value of x.
x = 20
On the board
If AB is perpendicular to CD, and the measure of angle CAE = (2x + 10) and the measure of angle EAB = (6x - 8). Find each missing angle.
x = 11
mCAE = 32
mEAB = 58
mCAF = 148