Vocab/Trivia
y=mx+b
Discrete
Linear Equations
Rays & Segments
100
Description of a Point in Euclidean Geometry.
What is an exact location on either a coordinate plane or number line?
100
Turn this linear equation from Standard Form into Slope Intercept Form. Then GRAPH!
2x+3y=12
What is y = -2x + 4 (See graph)
100
This is the term for a network where each part can be traced without retracing or picking up your pencil.
What is Traversable?
100
Solve the Following Linear Equations using Substitution. What Solution is there? What does that solution describe graphically happening between these two lines?
y-x =8
2y +2x =4
x = -3 y = 5
Unique Solution, They Cross!
100
Points A, B, and C are all collinear. The distance of line AB = 15.6, AC = 14.4, and BC = 30. Which point of three must be in the middle? Draw a picture of total line segment.
What is point A?
200
Description of a Line in Euclidean Geometry
What is a set of points or connection of points that extends to infinity in both directions?
200
Turn this linear equation from Standard Form into Slope Intercept Form. Then GRAPH!
3x+4y=-24
What is y = -3x - 6 (See graph)
200
More than two of these in a network lets us know that the network is NOT traversable.
What are odd nodes?
200
Solve the Following Linear Equations using Substitution. What Solution is there? What does that solution describe graphically happening between these two lines?
y+x =12
3y +9x =27
What is x = -(3/2) y = (21/2)
Unique Solution, They Cross!
200
This is described as having the endpoint Q and containing Z. Write the notation as well.
What is Ray QZ?
300
Mathematician named Euclid is from this nationality.
What is Greek?
300
Turn this linear equation from Standard Form into Slope Intercept Form. Then GRAPH!
-3x+17y=85
What is y = 3x + 5 (See graph)
300
This country contains the city from the famous Koenigsberg bridge problem that introduced us to Discrete Networks
What is Russia? (Formally Prussia in the time of the problem's written publication)
300
y = x + 2
y = x - 6
This solution describes these linear equations.
What is No Solution! (They're Parallel)
300
This is the difference between a Ray and a Line
What is, a Ray is only infinite or continuous in one direction!
400
This term describes points that are together on the same line.
What is Collinear?
400
Turn this linear equation from Standard Form into Slope Intercept Form. Then GRAPH!
-x+12y=-144
What is y = x - 12 (See Graph)
400
Traversable or Not? Prove with the Node Rule!
What is Yes! 2 or less odd nodes means traversable.
400
Solve the Following Linear Equations using Elimination! This solution describes these linear equations.
2x + 3y = 12
5x - 6y = 3
x = 3 y = 2 (3,2)
What is Unique Solution, They Cross!
400
One line segment WY = 16 miles. The entire line segment WZ equals 83 miles. This line segment notation will show the other distance of the remaining line segment.
What is line segment YZ = 67 miles
500
This term describes points that are together on a plane.
What is Coplanar?
500
Turn this linear equation from Standard Form into Slope Intercept Form. Then GRAPH!
-(4/8)x+120y=480
What is y = (4/8)x +4 (See graph)
500
Traversable or Not? Prove using Both Tracing and Node Rule!
What is Not Traversable! More than 2 odd nodes
500
y = x + 8
y = x + 8
Describe the solution of these Linear Equations. Think not just graph
What is Infinite!
(They are the same line! Share infinite or ALL the points!)
500
Describe a real world scenario that would explain the difference between lines, line segments, and rays to a stranger who has never taken Geometry before.
What is answers will vary. Mr. T Checks!