Points & Lines
On your whiteboard, give the correct symbolic naming for Point A.
A
Naming Points require a single capital letter.
How many points are required to name a Plane?
3 Points, not all on the same line.
What is the name of the common endpoint for two Rays that meet to form an angle?
Vertex
Complementary Angles add up to this number.
90
If the supplement of Angle 1 is 120 degrees, what is the measurement of Angle 1?
180 - 120 = 60 degrees
What are collinear points?
Points that lie on the same line.
What do we call the overlapping (the common points) of 2 planes?
Intersection
If two angles are congruent, that what can be said about their measures?
They are the same.
Angles that are greater than 90 degrees, but less than 180 degrees, are what type of angles?
Obtuse
If Ray MZ bisects Segment AB, and the measure of Segment AM is 3 feet, then what is the measure of Segment MB?
AM = MB since M is the Midpoint.
MB = 3 feet
On your whiteboard, give a correct symbolic name for a Ray that begins at Point A, and travels through Points B, C, and D.
AB, AC, or AD along with the one-sided arrow (pointing to the right) are possible choices.
On your whiteboard, give another correct name for Plane ABC.
Plane ACB, BAC, BCA, CAB, or CBA
On your whiteboard, give an acceptable alternative name for Angle ABC?
Angle CBA
The vertex point must remain in the middle!
Adjacent angles that would combine together and form a straight angle are called ____________ .
Linear Pairs
Triangle ABC has a base of 20 and a height of 5. What is the Area of the triangle?
A = 1/2*bh = 1/2*20*5 = 50
What is the name of the equation that we use to measure length when provided the endpoint coordinates of a line segment?
Distance Formula
The intersection of 2 planes form what shape as their intersection?
A Line
What is the proper name of a Ray that cuts an angle into 2 equal halves?
Angle Bisector
These angles are formed by the intersection of two lines.
Vertical Angles.
Right Triangle ABC has a base of 3 and a hypotenuse of 5. What is its perimeter?
Triangle ABC is a 3-4-5 Right Triangle.
The height is 4.
P = 3 + 4 + 5 = 12
A Segment Bisector passes through the ____________ of a the segment.
Midpoint
How many planes would it take to model a cube?
6
One plane for each face.
When two angles share a common side they are called _____________ angles.
Adjacent
What is the Vertex of Angle XYZ?
Point Y
The vertex is the middle point in the name.
The two angles form a Linear Pair. The first Angle is given as the expression 2x + 1, and the second Angle is given as 3x - 11. Find the measures of the 2 angles.
(2x + 1) + (3x - 11) = 180
x = 38, back-sub into the given expressions
Angles are 77 and 103 degrees