Slopes
Angle Pair Relationships
Transversals
Pictures!
Proving
Anything Goes
100
Slopes of a line parallel and a line perpendicular
What is 0 (parallel) and undefined (perpendicular)?
100
Angle pair relationship between 7 and 10
What are Alternate Interior Angles?
100
Value of x that makes u and v parallel.
What is x = 7?
100
Name of construction:
What is a Line Perpendicular to a Line from a Point on the Line?
100
Which lines, if any, are parallel if angle 15 cong angle10? Justify your answer.
What are c || d because they are Alternate Interior Angles and congruent?
100
Ms. Swainston's favorite color
What is green?
200
Slopes of a line parallel and a line perpendicular to: y = -8/3x - 4
What is -8/3 (parallel) and 3/8 (perpendicular)?
200
Angle pair relationship between a and f
What are Consecutive Exterior Angles or Same Side Exterior Angles?
200
Value of x that makes u and v parallel.
What is x = 12?
200
Here is the first step in a construction that is named...
What is a Line Parallel to a Line from a Point not on the Line?
200
Which lines, if any, are parallel if angle2 + angle15 = 180°? Justify your answer.
What are c || d because they are Consecutive Exterior Angles and supplementary?
200
Find mangleABC.
What is 140°?
300
Slopes of a line parallel and a line perpendicular to a line through (-4, 6) and (1, -9).
What is -3 (parallel) and 1/3 (perpendicular)?
300
Angle pair relationship between 2 and 3
What are Consecutive Interior Angles or Same Side Interior Angles?
300
Lines a and b are parallel. Find x.
What is x = 12?
300
A parking lot consists of a series of parallel lines as shown in the diagram below. Find the measure of angle 1, the angle that the last parking spot makes with the end of the parking lot.
What is 20°?
300
Complete the two column proof when given that angle1 cong angle 8.
Statement: angle1 cong angle 8
Reason: Given
Statement: m || n
Reason: If Alternate Exterior Angles are congruent, then the lines are parallel.
300
Determine whether lines KM and ST are parallel, perpendicular or neither, given two points on each line.
What is perpendicular?
KM slope is 3/5. ST slope is -5/3.
400
Slopes of a line parallel and a line perpendicular to:
3x-4y = 7
What is 3/4 (parallel) and -4/3 (perpendicular)?
400
Angle pair relationship between 8 and 3
What is Consecutive Interior Angles or Same Side Interior Angles?
400
What is x = 10 and
mangleABK = 66°?
400
In the figure, Jones Street is parallel to Lincoln Street. Find the measure of angleJEA
What is 43°?
400
Complete the two column proof when given that angle3 and angle5 are supplementary.
Statement: angle3 and angle5 are supplementary
Reason: Given
Statement: m || n
Reason: If Consecutive Interior Angles are supplementary, then the lines are parallel.
400
Find AB if A is at (6, 4) and B is at (−5, −1).
What is 12.1?
500
Line CB contains the points C(2, 3) and B(-1, -3), as shown below. Line m will be drawn perpendicular to line CB and containing point A(4, -3). Identify the coordinates of another point on line m.
A. (5, -1) B. (-4, 1) C. (0, 2) D. (-1, 0)
What is B?
500
Angle pair relationship between 4 and 3
What are Corresponding Angles?
500
Parallel lines in the picture.
What are BH (or HI or BI) and DF (or DJ or FJ)?
500
The figure represents a ramp with handrails.
Segments AB and DE are parallel to overline(GH).
Segments BC and EF are parallel to overline(HJ).
Segments AG and BH are parallel to overline(CJ).
If mangleCJH= 35°, then find the measure of angleCBA.
What is 125°?
500
Complete the two column proof when given that mangle1 = 103° and mangle7 = 77°.
Statement: mangle1 = 103°
Reason: Given
Statement: mangle7 = 77°
Reason: Given
Statement: angle1 and angle7 are supplementary
Reason: mangle1 + mangle7 = 180°
Statement: m || n
Reason: If Consecutive Interior Angles are supplementary, then the lines are parallel.
500
Use the laws of logic to determine the conclusion:
If Lucy studies for her test, then she will get a good grade.
Lucy did not get a good grade.
What is "therefore she did not study for the test" using the Law of Contrapositive?