Chapter 3 Study Guide
Name
_________
1. _____________________ lines are coplanar lines that do not intersect.
2. A ____________________ is a line that intersects two or more coplanar lines in different points.
3. Same-side Interior angles are always _____________________ when formed by 2 parallel lines
that are cut by a transversal.
4. If two lines do not intersect, they can be ________________ or parallel.
Use the picture to the right:
5. Identify a pair of parallel segments: ___________________
6. Identify a pair of skew segments: _____________________
7. Identify a pair of perpendicular segments: ______________
What can the following angles be called?
c
8. ∠6 and ∠10
_____________
9. ∠6 and ∠1
_____________
10. ∠5 and ∠10
_____________
11. ∠15 and ∠3
_____________
a
b
12. ∠1 and ∠3
_____________
13. ∠7 and ∠8
_____________
d
1 2
5 6
9 10
13 14
3 4
7 8
11 12
15 16
Answer a || b, c || d, or none. (Hint: Cover the part of the picture you are NOT using so you can focus on the
angle pairs in the problem.)
14.
If ∠1 ≅ ∠9, then____________ because ______________________
15.
If m∠6 + m∠7 = 180, then _________ because __________________
16.
If ∠6 ≅ ∠3, then __________ because _______________________
17.
If m∠9 + m∠6 = 180, then ________ because __________________
18.
If m∠7 = m∠4, then ________ because _______________________
19.
If m∠14 = (17x + 37)° and m∠15 = (9x – 13)° and x = 6, then _________ because _________________.
20. m∠6 = (7x – 9)° and m∠7 = (2x)°. Find x.
Use this diagram for #20-21.
8
21. m∠6 = (5x – 18)° and m∠9 = (x + 10)°. Find x.
9
6
7
22.
23.
24.
25.
Find the values for x, y, & z. Show ALL work!
26.
27.
(7x)°
(6y)°
120°
x°
(z + 6)°
(2x)°
x = _______
(10y + 5)°
y = _______
x = _______ y = _______ z = _______
⃡ ?
28. What is the shortest segment from A to 𝐵𝐶
29. Write and solve an inequality for x.
30. Which of the following can be a length for x?
A. 1
B. 2
C. 3
31. Given: ∠1 ≅ ∠2 and ∠4 ≅ ∠5
̅̅̅̅ ∥ 𝑅𝑆
̅̅̅̅
Prove: 𝑃𝑄
Statements
Reasons
1) ∠1 ≅ ∠2
1)
2) ∠2 ≅ ∠5
2)
3) ∠4 ≅ ∠5
3)
4) ∠1 ≅ ∠4
4)
̅̅̅̅ ∥ 𝑅𝑆
̅̅̅̅
5) 𝑃𝑄
5) If two lines are cut by a
transversal and ________ angles
are _________ then the lines are
parallel.
P
R
4
3
2
5
6
S
1
Q