1A:Identify and define geo terms
1B: Prove and justify Geo theorems
1C: Solve for missing parts
1D: Write equations of parallel and perpendicular lines
1E: Graph equations of parallel and perpendicular lines
100
Two rays that meet at a vertex is the definition of what?
An angle
100
Are these two lines parallel? Justify using the definition of parallel lines:
y=2x+7 and y-5=2(x+4)
Yes - They have the same slope and are not the same line so they will be parallel.
100
Rewrite this equation to be in slope-intercept form:
3x-2y=12
y=3/2x-6
100
What is the slope between these two points:
(3, -4) & (8, -2)
2/5
100
What is the starting point and the slope of this equation?
y-3=3/4(x+2)
Starting Point: (-2, 3)
Slope 3/4
200
Name any Consecutive (same side) Exterior Angles
angle1 and angle7
angle2 and angle 8
200
Are these two lines perpendicular? Justify using definitions of perpendicular lines.
No - Perpendicular lines have opposite reciprocal slopes. These lines have opposite slopes (-2 & 2) but not reciprocal, therefore they are just intersecting, not perpendicular.
200
Solve for x
x=14
200
Write a PARALLEL equation to this line: y-3=4/5(x+2)
*Anything works as long as the slope is still 4/5
200
Graph a line (as best you can) - with a slope that is perpendicular to this line:
Original slope : 2/3
Perpendicular slope: -3/2 *Any graph that has this slope is correct
300
Name the two types of alternate interior angles
angle 4 and angle 5
angle 3 and angle 6
300
If these lines are parallel, then angle3 will be congruent with what angle? What is their special angle relationship called?
angle 7 - Corresponding Angles
angle 6 - Alternate Interior Angles
300
Solve for x
x=15
300
Write a PERPENDICULAR equation to this line: y=-3/7x+12
*Anything as long as the slope is 7/3
300
Line 1: y=2/5x-2
Line 2: Is parallel to line 1 with a y-intercept of 3
Draw this scenario
400
What are the special angle relationships that are supplementary?
Consecutive (same-side) Interior, Consecutive (same-side) Exterior, and Linear Pairs
400
In this picture, angle 1 & angle 2 are a ________? This means they _______ (add to 180, are equal)?
Linear Pairs/Supplementary
Add to 180
400
angle 2 and angle 5 are alternate exterior angles. If angle 2 = 3x+4 and angle 5 = 4x+15 what is the value of x?
x=-9
400
Write an equation that is parallel to a line with these three points:
(2, 5) (6, 8) (10, 11)
Line 1: Slope is 4/3
Parallel Line: Any equation as long as the slope is still 4/3
400
Two lines are perpendicular. They have one solution at (0,2). If one line has a slope of 2/3 , draw the perpendicular line.
500
How would you write Line Segment BL is perpendicular to Line Segment LT?
bar(BL) bot bar(LT)
500
If angle 3 & angle 4 are congruent, does that prove line m and line p are parallel? Use specific reasoning to justify your answer.
Yes - angle 3 & angle 4 are alternate interior angles, therefore if they are congruent then the lines will be parallel.
500
Solve for x & y
x=10
y=15
500
Write an equation in point-slope form of a line that is perpendicular to the given graph and goes through the point (-2,4):
y-4=-1/2(x+2)
500
Line 1 has a slope of 2. Line 2 is perpendicular to line 1 and has a solution at (-1, 2). Draw this scenario.