Post on 20-Jan-2018
description
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Equations SlopesProving Lines
Parallel
PropertiesOf Parallel
Lines
GrabBag
Equations - 100
Answer: y = 3x + anythingThank you, Will H!
Write an equation of a line parallel to:
y = 3x - 7
Equations - 200
Answer: y = (-1/3)x + anything
Write an equation of a line perpendicular to:
y = 3x - 7
Equations - 300
m<1 = x and m<2 = (2x – 15). Find the value of x that makes the two lines parallel.
Answer: For k and n to be parallel, 1 + 2 must equal 180, by the consecutive interior angle converse.
x + (2x - 15) = 1803x - 15 = 1803x = 195x = 65
1
Equations - 400
xx.
Answer: <1 + <2 + 90 = 180
(2x+7) + (3x-15) + 90 = 180
5x + 82 = 1805x = 98x = 19.6
1
Equations - 500
Answer: By the consecutive interior angle theorem, <n + <o +< k = 18052 + 52 + 6x – 44 = 180104 + 6x – 44 = 18060 + 6x = 1806x = 120x = 20
Slopes - 100
What are two ways to find the slope of a line?
Answer:1. Read it off a graph using “rise over run”2. Use the slope formula
Thank you, Hannah L, Carter N, and Kate S!
Slopes - 200
Answer: Parallel
Are lines AB and CD parallel, perpendicular, or neither?
Line AB: (0,6) and (7,9)Line CD: (6,12) and (13,15)
Slopes - 300
Answer: No!The slope of AB is: 11/5The slope of CD is: -23/14
Thank you, Heather B!
Are these two lines parallel?
AB: (-8,-7) (-3,4) CD: (-10, 14) (4,-9)
Slopes - 400
Answer: NeitherAB: 32/13CD: 52/128
Are lines AB and CD parallel, perpendicular, or neither?
Line AB: (10,18) and (-3,-14)Line CD: (17,11) and (-111, -41)
Slopes - 500
Answer: -1
If two lines are perpendicular, the product oftheir slopes is: _________.
Proving Lines Parallel - 100
Answer: Because 143 + 37 = 180, we can say theyare parallel by the Consecutive InteriorAngles Converse.
Is it possible to prove A is parallel to B?
Thank you, Mostafa E!
Proving Lines Parallel - 200
Answer: None. <2 + <3 = 107. 107 + 71 = 178.
zz.
Proving Lines Parallel - 300
Are C and D parallel?
Answer: Yes!
Alternate InteriorAngles Converse
Thank you, unknown person from period 5/6!
40 40
Proving Lines Parallel - 400
Which lines are parallel? 1, 2, and 3 are 90°
Answer: A and C are parallel by the corresponding angle converse.
Thank you,Eric H!
Proving Lines Parallel - 500
Answer: 6 ways.1. Consecutive Interior Angles Converse2. Alternate Interior Angles Converse3. Alternate Exterior Angles Converse4. Corresponding Angles Converse5. If 2 lines are perpendicular to a 3rd line, the 2 lines are parallel.6. If 2 lines are parallel to a 3rd line, the 2 lines are parallel.
Thank you, Ellie A.!
How many ways are there to prove two linesare parallel? Name all of them on your board!
Properties of Parallel Lines - 100
Answer: Alternate Exterior Angle Thm
aa.
Properties of Parallel Lines - 200
Answer: Alternate Interior Angle Thm
xx.
Properties of Parallel Lines - 300
Answer: III is the only one that is true.
Properties of Parallel Lines - 400
Answer: No, 1 is not congruent to 2 + 3
xx.
Properties of Parallel Lines - 500
Answer: If there is a line l and a point P not on
the line, there is exactly one line through P parallel
to l.Thank you, Justin N!
What does the Parallel Postulate say?
Grab Bag - 100
Answer: 1 and 8, 3 and 6Thank you, Andrew G!
Name both pairs of angles that are alternate exterior angles?
Grab Bag - 200
Answer: A!
xx.
Grab Bag - 300
Answer: A
Grab Bag - 400
What’s the difference between Theorems and Postulates?
Answer: Theorems are proven statements,
Postulates are unproven statements.
Thank you, Candace G!
Grab Bag - 500
Answer:
Oops…no question. The group who selected this category automatically wins 500 points!