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200 200 200 200 200

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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!