Vocabulary
Two angles across from each other on intersecting lines. They are always congruent.
What are Vertical Angles?
Segment RT has a point M between R and T.
RM = 3 and MT = 24.5
The length of RT is _______.
What is 27.5?
Name 4 types of angles and draw a picture of each one.
acute, obtuse, right, straight
Draw a segment AB on your graph. Identify the midpoint on segment AB.
A (-2, 3)
B (0, -4)
Midpoint (-1, -.5) or (-1, -1/2)
I am a location. I have no size or shape. You must always use a CAPITAL LETTER for my name.
What is a point?
Two angles that are adjacent and supplementary. They form a straight line.
What is a linear pair?
Segment RT has a point M between R and T.
RT = 11 and MT = 5
The length of RM is ___________?
What is 6?
If two angles are supplementary, what do you know about their measures?
Their measures add up to 180 degrees.
Calculate the midpoint of (-24, 10) and (-40, -12).
Midpoint is (-32, -1)
When two planes intersect, this is created.
What is a line?
Any two angles whose sum is 180 degrees.
What are supplementary angles?
Segment RT has a point M between R and T.
RM = x + 3 and MT = 2x - 3
RT = 12
What is the value of x?
x = 4
If angle DEF is a straight angle, the measure of angle DEG is 23x-3, and the measure of angle GEF is 12x+8, find x.
x = 5
Calculate the distance between the points (12, -2) and (-5, -5). Round to the nearest hundredths.
17.26
Look at Diagram #1. This is how you would describe Points P, S, and T.
What is noncollinear?
Any two angles whose sum is 90 degrees.
What are complementary angles?
Segment RT has a point M between R and T.
RM = 6 and MT = 2x +22
RT = x +20
Find the value of x.
x=-8
If ray BD bisects angle ABC, what can you infer about the measures of angles ABD and DBC? Draw a picture.
The measures of angles ABD and DBC are equal.
Calculate the distance between the points (2, 1) and (-4, 3).
Round to the hundredths place.
distance = sqrt (40) (the square root of 40)
or 6.32
Look at Diagram 1. Is it possible to create a third plane? Be ready to justify your reasoning.
You could create a plane by connecting three other currently noncoplanar points, like points M, N, and R.
Two angles that are next to each other and that share a common side and vertex.
What are adjacent angles?
Segment RT has a point M between R and T.
If M is the midpoint between R and T, and RM = 5x+2 and MT = 9x-10, determine the length of RM?
What is 17?
Compare and Contrast Angle Bisectors and Perpendicular Bisectors.
Both cut something into two equal pieces. An Angle bisector is splitting an angle in half; the perpendicular bisector is splitting a segment in half.
Give an example of how someone can use either the distance formula or the midpoint formula in real life. Be convincing.
Building a bridge, any type of construction, finding the distance on a map, etc
Look at Diagram #2. Name the career that would be involved in creating this. Describe how someone with this career would use points, lines, and angles in their job.
What is an architect. The architect would have to know the exact lengths and angle measures in order to build the roof.