Slopes and Equations
Transversals
Parallel Lines
Distances
Random
100
What is the slope of 4x+7y=-23 ?
m=-4/7
100
What is the definition of a transversal?
A line, segment, or ray that intersects two or more other lines.
100
What determines if two lines are parallel?
Same/Equal/Congruent slopes
100
Given square SQRE, draw the distance from Q to line RE.
100
386-848=
-462
200
What is the slope of the line that goes through the points (-2,2) and (5,-1)?
m=-7/3
(5-(-2))/(-1-2)=7/-3=-7/3
200
What are the five possible angle pair relationships created by transversals?
Corresponding, Alternate Interior, Alternate Exterior, Same Side Interior, Same Side Exterior
200
If m angle4 + m angle2 = 180
which lines are parallel? Justify your answer in conditional form.
Yes; If SSI/SSE are supplementary, then lines are parallel.
200
Given hexagon ABCDEF, draw the distance from C to line DE.
200
What is the distance formula?
d=root 2((x2-x1)^2+(y2-y1)^2
300
Find the unknown coordinate so the line through the points has the given slope.
(-4,-6)(4,y)
m=1/2
y=-2
300
Given a transversal intersecting with two parallel lines, fill in the blanks:
Corresponding angles are __________
Same Side Interior angles are ___________
Alternate Exterior angles are ___________
Alternate Interior angles are ___________
Same Side Exterior angles are ___________
Congruent
Supplementary
Congruent
Congruent
Supplementary
300
Given angle 12 is congruent to angle 18, state which lines are parallel and justify your answer with a theorem or postulate in conditional form.
Yes - c//d.
If Alternate Interior angles are congruent, then lines are parallel.
300
Calculate the distance from the line y=-2x+1 to (3,5) . Express your answer in simplest radical form.
2 root 2 5
300
What is the difference between inductive reasoning and deductive reasoning?
Deductive reasoning: top-down; general/broad premise to specific conclusion
Inductive reasoning: bottom-up; specific examples, observations, or patterns to broad conjecture
400
Find the unknown coordinate so the line through the points is perpendicular to the given slope.
(z,-5)(6,8)
m=-3/4
z=-15/4
400
Calculate the values of x and y.
x=5 y=7
400
Determine the value of the variables that would make the given lines parallel.
x=50
y=21
400
Calculate the distance from the line y=1/2x+3 and x-2y=4 . Express your answer in simplest radical form.
2root 2 5
400
What are the converse, inverse, and contrapositive of the given statement?
If a polygon has three sides, then it is a triangle.
Converse: If a polygon is a triangle, then it has three sides.
Inverse: If a polygon does not have three sides, then it is not a triangle.
Contrapositive: If a polygon does not have three sides, then it is not a triangle.
500
Determine whether the lines of the given equations are parallel, perpendicular, intersecting, or coinciding.
y-1=-5/2(x-2)
2x-5y=-15
Perpendicular; slopes are -5/2 and 2/5
500
Solve for the variables.
x=56
y=29
500
Determine whether lines r and s are parallel. Justify your answer.
Yes.
If Alternate Interior angles are congruent, then lines are parallel.
500
Calculate the distance from line HJ to line LM. Express your answer in simplified radical form (no decimals)
3 root 2 5
500
Fill in the reasons for the following two-column proof:
1. Given
2. Segment Addition Postulate
3. Substitution (AB->5, BD->18)
4. Simplify/Combine Like Terms
5. Subtraction (-23)
6. Symmetric Property