Logic

Angle Names

Parallel and Perpendicular

Parallel Lines

Angle Measures

100

What does ^ mean?

and

100

two angles that are across from one another are called?

vertical angles

100

If 2 lines are parallel they have _______ slope.

same

100

What are parallel lines?

two lines that do not intersect and have the same slope

100

Supplementary angles add up to?

180 degrees

200

What is the inverse of the statement: If it is Thursday then I have geometry class.

If it is not thursday then I do not have geometry class.

200

What is the relationship between angle 2 and angle 8

Alternate exterior

200

If I have the two equations:

y = 4x -6

y = -1/4x +10

What kind of lines are these?

perpendicular

200

What lines can i prove parallel if <1 = <9

a and b

200

if angle 1 is 45 degrees what is the measure of angle 14

45 degrees

300

What is the contrapositive of the statement: If it is raining, then I have an umbrella

If i do not have my umbrella, then it is not raining.

300

What is the relationship between angle 4 and angle 6?

Alternate interior angles

300

Find the slope of the lines AC and BD

A(1, 0) C(-3, -2)

B(-4, -5) D(8, 7)

AC= 1/2

BD= 12/12 = 1

300

What lines can I prove parallel if <12 = <14

M and N

300

If angle 7 is 100 degrees what is the measure of angle 11?

80 degrees

400

Use the law of syllogism to make a conclusion:

If it is saturday, then I am at the movies.

If I am at the movies, then I get popcorn

If it is saturday, then I get popcorn

400

What is the relationship between angle 3 and angle 6?

Consecutive interior angles

400

Write an equation for 2 parallel lines that have slopes of 2 and y intercepts at 0 and 4

y = 2x

y = 2x + 4

400

Why are A and B parallel if <3 + <6 = 180

they are consecutive interior angles

400

If angle 2 is 3x + 7 and angle 10 is 2x + 20 what is the value of x

13

500

Give an example of the law of detachment and a valid conclusion

***

500

What is the relationship between angle 5 and angle 2

supplementary angles

500

A line has an equation of y = 3x + 2

Write an equation for a perpendicular line that passes through (3, 5)

y = -1/3x - 5

500

What lines are parallel if <10 = <12

none because they are vertical angles

500

If angle 3 is 2x + 10 and angle 16 is 12x - 30

what is the measure of angle 3

18 degrees

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