An ____ is an intersection of rays at an endpoint.
Angle
Name 2 points collinear to point K and name one point non-coplanar to plane R.
M,N or J,L
N or M
If DF=42, DE=(7x+1), and EF=(4x-3), find DE.
DE=29
What are the formulas for Midpoint and Distance?
((x+x)/2, (y+y)/2)
√(x_2-x_1)^2+(y_2-y_1)^2
If m<DEF=117, m<DEG=(12x+1), and m<GEF=(5x-3), find the value of x.
x=7
What are complementary angles?
add to equal 90º
Give another name for line b.
<-->HK
If JL=(10x-2), JK=(5x-8), and KL=(7x-12), find KL.
KL=51
Find ST if S(-3,10) and T(-2,3).
d~7.1
If m<PQS=16º, m<SQR=(9x+17), and m<PQR=(12x-6), find m<PQR.
m<PQR=150º
What are supplementary angles?
add to equal 180º
How many planes are shown in the figure?
5
If S is the midpoint of RT, RS=(5x+17), and ST=(8x-31), find RS.
RS=97
Find BC if B(8,-7) and C(-4,-2).
<1 and <2 form a linear pair. If m<1=(18x-1) and the m<2=(23x+17), find m<2.
m<2=109º
What does a bisector do?
Specifically, what does a perpendicular bisector do?
Divides an angle, line, or segment into 2 congruent parts.
Divides a segment perpendicular to its midpoint.
Give another name for plane W.
Plane ABC, etc.
If line y bisects AC, AB=(4-5x) and BC=(2x+25), find AC.
AC=38
Find the coordinates of the midpoint of HK if H(-1,2) and K(-7,-4).
M=(-4,-1)
<1 and <2 are vertical angles. If m<1=(5x+12) and m<2=(6x-11), find m<1.
m<1=127º
____ are adjacent angles that are supplementary. Combined, they form a straight line.
Linear Pair
Name the intersection of Plane ADE and plane W.
line AD
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
DE=11
Find the coordinates of Z if Y is the midpoint of XZ, X(-10,9), and Y(-4,8).
Z(2,7)
The measure of <P is five less than four times the measure of <Q. If <P and <Q are supplementary angles, find m<P.
m<P=143º