Understanding Points,
Lines, and Planes
Lines, and Planes
This is a letter followed by a dot that names a location.
What is a Point?
Between any two points is the absolute value of the difference of the coordinates.
What is the distance or length?
This is a figure formed by two rays, or sides, with a common endpoint called the vertex.
What is an angle?
These are angles that share the same side and a common vertex.
What are adjacent angles?
This is an ordered pair (x,y)
What are coordinates?
A flat surface that has no thickness and goes on forever.
What is a plane?
This is distance between -4 and 8
What is 12?
Measures greater than 0 degrees and less than 90 degrees
Measures exactly 90 degrees
Measures greater than 90 degrees and less than 180 degrees
What is an acute?
What is a right angle?
What is an obtuse angle?
This is a pair of adjacent angles whose noncommon side form opposite rays.
What are linear angles?
In a coordinate plane these two go on the vertical line and the horizontal line.
Vertical line: What is the x-axis?
Horizontal line: What is the y-axis?
These are points that do not lie on the same line.
What is noncolinear points?
Solve: G is between F and H, FG = 9, and FH = 23. Find GH.
What is 14?
This is the name of angles that are equal to each other, have the same degrees.
What are congruent angles?
These are angles that add up to 90 degrees.
These are angles that add up to 180 degrees.
What are complementary angles?
What are supplementary angles?
This is the formula to find the midpoint between 2 coordinate points.
What is M((x1+x2)/2), ((y1+y2)/2)?
This is a part of line that starts at an endpoint then extends forever.
These are rays that have a common endpoint and form a line.
What is a ray?
What are opposite rays?
E is between D and F. Find DF.
DE = 3x-1
EF=13
DF=6x
What is 24?
Solve
m∠XWZ = 143° and m∠XWY = 22°. Find m∠YWZ.
what is 121 degrees?
Find the complement of F; F=47.5
Find the supplement of A; A=10x-5
Complement =42.5
Supplement= 185-10x
These are the two formulas that can be used to find the distance between two points in a number line or coordinate plane
d=√((x_2-x_1)²+(y_2-y_1)²)
a² + b² = c²
These are points that lie on the same plane.
What are coplanar points?
D is the midpoint of EF, ED = 4x + 6, and DF = 7x – 9. Find ED, DF, and EF.
ED=26
DF=26
EF=52
JK bisects ∠LJM, m∠LJK = (-10x + 3)°, and
m∠KJM = (–x + 21)°. Find m∠LJM.
What is 46
An angle’s measure is 20° less than 1/2 the measure of its supplement. Find the measure of the angle.
Supplement =46.6
Solving slide 31 on Chapter 1 Section 6
60.5