Points, Lines, and Planes
Explain what collinear points are.
Points that are on the same line
If RS=23-2x, ST=9x-5 are the two parts of the whole segment RT and RT=39.
Find RS.
RS=17
(-5,1)
What is a right angle?
a 90 degree angle
Vertical Angles add up to 180 degrees
False
Where do two lines intersect?
Segment RT is the whole segment and is equal to 39.
Segment RS is one part of the whole segment and is equal to 23-2x.
Segment ST is the other part of the whole segment and is equal to 9x-5.
Find what segment RS equals.
17
If K is the midpoint of segment JL, JK=8x+11 and KL=14x-1, Find JL.
JL=54
What is an obtuse angle?
An angle between 90 degrees and 180 degrees
What are complementary angles?
Give me all three ways to name a line.
on board
The whole segment is 12x+14.
One part is equal to 6x+1
The other part is equal to 4+x
What does x equal and what is the length of the whole segment?
x=-9/5
Whole segment= -38/5
Find the distance between the two points. (Round to the nearest hundredth.
(-1,2) & (4,0)
5.39
What is a straight angle?
a straight line, 180 degrees
What are vertical angles?
two angles that are across from each other on intersecting lines. these two angles are congruent
Name both ways you can name a plane.
Explain
True or False
When solving for segments, we are supposed to set one part of the segment equal to another part and the whole.
Ex. part=part+whole
False
When solving for segments, it should be
part+part=whole
What did I say was the first thing to do when solving a midpoint or distance problem?
write (x1,y1) and (x2,y2) underneath the points that we are given.
If ray KM bisects Angle JKL, Angle JKL=92 and MKL is 5x+1. Find the value of x.
x=9
Angle A and Angle B are supplementary angles. Angle A=12x+10 Angle B=4+6x. What is the angle measure for Angle B? (Round your final answer to the nearest hundredth.
59.33 degrees
True or False
A line is made up of two points and has no thickness or width.
It also extends both directions forever.
True
One part of a whole segment is 3x+9 and another part is 6x-4 and the whole segment equals 22x+12.
What is the value of x?
x=-7/13
Find the coordinates of the midpoint of segment HK if H(-3,8) and K(-7,-6).
(-5,1)
Angle Z and Angle W form a linear pair.
Angle Z=108 Angle W=4x+12
What is the value of x?
x=15
What does the upside-down T stand for?