Download Extra practice for quiz 3

If I get a 100%, then I will have
an A.
What is p?
I get a 100%
What is q?
I will have an A
What is the converse?
If I have an A, then I got a 100%.
Solve the system:
x+y=1
x–y=9
2x
= 10
x=5
x+y=1
5+y=1
y = -4
How do you know that:
8
1
7
2
6
3
5
The lines are parallel?
Given (labeled in diagram)
Angle 8 congruent to angle 2?
Vertical angle thm
Angle 7 congruent to angle 3?
// lines  alt int angles are congruent
4
JAM is obtuse. Find the
restrictions on x.
J
(6x + 12)
A
90 < 6x + 12 < 180
78 < 6x < 168
13 < x < 28
M
Solve the system:
9x + 6y = 45
4x – 6y = 46
13x = 91
x=7
3x + 2y = 15
4x – 6y = 46
3x + 2y = 15
3(7) + 2y = 15
21 + 2y = 15
2y = -6
y = -3
How do you know that:
8
1
7
2
6
3
5
4
Angle 1 congruent to angle 5?
// lines  alt ext angles congruent
Angle 3 congruent to angle 5?
Vertical angle thm
Angle 1 congruent to angle 3?
// lines  corresponding angles are congruent
If I get a 100%, then I will have
an A.
What is the inverse?
If I don’t get a 100%, then I won’t have an A.
What is the contrapositive?
If I don’t have an A, then I didn’t get a 100%
Is the inverse true or false?
False, I could get a 98% and still have an A.
Are the lines // if:
(and how do you know?)
8
1
7
2
6
3
5
4
Angle 1 congruent to angle 5?
Yes, alt ext angles congruent// lines
Angle 3 congruent to angle 5?
No
Angle 1 congruent to angle 3?
Yes, corresponding angles are congruent// lines
GWM is acute. Find the
restrictions on x.
G
(5x – 20)
W
0 < 5x – 20 < 90
20 < 5x < 110
4 < x < 22
M
How do you know that:
8
1
7
2
Angle 1 supp to angle 2?
Definition of linear pair
Angle 1 supp to angle 4?
// lines  SSE angles are supp
Angle 7 supp to angle 6?
// lines  SSI angles are supp
6
3
5
4
List all pairs of:
8
1
7
2
6
3
5
2 & 6, 7 & 3
4
Alt int angles
Corresponding angles 2 & 4, 7 & 5, 8 & 6, 1 & 3
Same Side Interior angles 2 & 3, 7 & 6
Same Side Exterior angles 1 & 4, 8 & 5
Alt ext angles
1 & 5, 8 & 4
Are the lines // if:
(and how do you know?)
8
1
7
2
6
3
5
Angle 7 congruent to angle 3?
Yes, alt int angles congruent// lines
Angle 5 supp to angle 6?
No
Angle 7 supp to angle 6?
Yes, SSI angles are supp // lines
4
If an animal is a zebra, then it is
mammal.
What is the inverse?
If an animal is NOT a zebra, then it is not a mammal.
What is the contrapositive?
If an animal is not a mammal, then it is not a zebra.
Is the inverse true or false?
False, the mammal could be a human.
If an animal is a zebra, then it is
mammal.
What is p?
An animal is a zebra
What is q?
It is a mammal
What is the converse?
If an animal is a mammal, then it is a zebra.