Conditional Statements
Parallel Lines
Perpendicular Lines
Distance & Midpoint
Angles
100
This happens when you reverse the hypothesis and the conclusion
What is the converse
100
For two lines to be parallel they must have equivalent
What are slopes
100
For two lines to be perpendicular the slopes must be:
Opposite reciprocals OR negative reciprocals. They mean the same thing
100
What is the distance formula?
SEE NOTES/ BOARD
100
If a transversal intersects two parallel lines then corresponding angles are ____________ (Must be the correct mathematical term)
What is congruent
200
What is the truth value of the following conditional statement: If two lines are coplanar then they must intersect.
False. Parallel lines are coplanar and they never intersect.
200
Write an equation for a line that is parallel to y = 5x + 3
Any lines with a slope of 5 that does not have a y-intercept of 3
200
Is y = (3/4)x + 5 perpendicular to y= (4/3)x - 5? Why or why not?
No. The slope is reciprocal but it isn't the opposite.
200
What is the Midpoint Formula?
SEE BOARD
200
x = 5
300
What is the truth value of the inverse? If two lines are not adjacent, then they do not form a linear pair.
If two lines are adjacent, then they form a linear pair. It is false. Two complementary angles can be adjacent. Two acute angles can be adjacent. Etc..
300
Write a line that is parallel to y = 3x + 6 and goes through the points (0, 8)
y = 3x + 8
300
Write an equation that is perpendicular to the equation: y = 7x + 6
Any equation that has a slope of (-1/7)
300
What is the midpoint of (2, 6) and (20, 40)?
(11, 23)
300
x = 15
400
What is the contrapositive of the following conditional statement? Two corresponding angles are congruent if the transversal intersects two parallel lines.
If two corresponding angles are not congruent then the transversal does not intersect two parallel lines.
400
Write an equation parallel to 2x + 4y= 16
y = (-1/2)x + b b does not equal 4
400
Write an equation that is perpendicular to: y = -6x + 6 and goes through the point (0 , 10)
y = (1/6)x + 10
400
One endpoint is located at (-4, 7) the other endpoint is located at (-16, -1) what is the distance?
What is 14.4
400
Can we prove two lines are parallel if we have proved that same side exterior angles are congruent? You must explain your reasoning.
If the lines are perpendicular, then yes. The postulate we know about same-side-exterior angles states that they must be supplementary for the lines to be parallel
500
What are the truth value of the CS and the converse of the following conditional statement? If it is false give a valid counterexample. If two lines intersect, then they must be coplanar.
CS: False. Intersect at one point in the plane. If two lines are coplanar, then they must intersect. False. Parallel lines
500
Write an equation parallel to -8x + 2y = 24 and goes through the point (4, 8)
y = 4x - 8
500
Write an equation perpendicular to: 3x + 9y = 18 And goes through the point (3, 6)
y = 3x - 3
500
Given the endpoint (2, 1) and the midpoint (10, 5), what is the other endpoint?
(18, 9)
500
<1 and <6 are vertical angles < 10 is a same-side-interior angle to angle 6. If the measure of <1 = 60 and <10 = 4x +20, then what is the value of x?
x = 25
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