Geometry Flashcards
A specific location in space.
a point
Extends to infinity in two opposite directions. A straight path that connects two points.
Line
A finite piece of a line. Does not extend infinitely in both directions.
line segment
The points at the ends of a line segment
endpoints
A line segment is named using its…
endpoints
A partial type of line with one endpoint and an arrow which stretches to infinity
Ray
Formed when two rays have a common endpoint
Angle
The common endpoint of an angle
vertex
What are four ways to name this angle?
- ∠1
- ∠B
- ∠ABE
- ∠EBA
What does the letter f represent in the diagram?
line AB
What are 3 other names for ∠4 and which should not be chosen in this scenario?
∠E, ∠CEB, or ∠BEC. ∠E should not be chosen because E is the vertex of all the other angles as well.
Name the following figure
A Point
Name the following figure
A Ray
Name the following figure
A Line
Name the following figure
An Angle
Name the following figure
A Line Segment
The distance between two points on a line segment is called…
the length of the segment
The locations of four points on a number line are A = 2, B = 4, C = − 3, and D = − 6. What is the value of AB + CD?
AB = |4 − 2| = 2 and CD = | − 3 − (−6)| = 3.
So AB+ CD= 2+ 3= 5.
Find AB, if AC = 12 and BC = 7.
AB = 12 − 7 = 5.
Points S, T, U, V, and W lie, in order from left to right, on a number line. Point U is at −2. Where are the rest of the points located?
ST = 2 TU = 1 UV = 3 VW= 2
We know point U is at −2 and TU = 1. This lets us locate point T at −3. Now we can use ST = 2 to find that S= − 5, and UV = 3 to find that V = 1. Now we can locate point W by using VW = 2, so W = 3.
AB could be used to represent the segment itself, but also…
the length of the segment.
A pair of adjacent, supplementary angles
Linear Pair
A straight line is how many degrees?
180
A linear pair of angles measures up to how many degrees?
180
The angles that are opposite from one another are called…
vertical angles
Either of two angles whose sum is 180°.
supplementary
Angles that are opposite of each other when two lines cross.
Vertical Angles
Angles that are congruent.
Vertical Angles
Have the same angle measure
Congruent Angles
A statement assumed to be true without proof.
Postulate
“B is a point on line AC if and only if AB + BC = AC.
Segment Addition Postulate
The halfway between two endpoints.
Midpoint
