lesson 3.1

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Five-Minute Check (over Chapter 2)
NGSSS
Then/Now
New Vocabulary
Key Concepts: Parallel and Skew
Example 1: Real-World Example: Identify Parallel and Skew
Relationships
Key Concepts: Transversal Angle Pair Relationships
Example 2: Classify Angle Pair Relationships
Example 3: Identify Transversals and Classify Angle Pairs
Over Chapter 2
Make a conjecture about the next number in the
sequence, 5, 20, 80, 320.
A. 380
A
0%
0%
B
D. 1580
A
B
C
0%
D
D
C. 1280
A.
B.
C.
0%
D.
C
B. 395
Over Chapter 2
Write the contrapositive of this statement. If you
live in Boston, then you live in Massachusetts.
A. If you do not live in
Massachusetts, then you do
not live in Boston.
0%
B
0%
A
D. You might live in
Massachusetts or Boston.
A
B
C
0%
D
D
C. If you do not live in
Massachusetts, then you live
in Boston.
A.
B.
C.
0%
D.
C
B. If you live in Massachusetts,
then you do not live in Boston.
Over Chapter 2
Use the Law of Detachment or the Law of Syllogism
to determine whether a valid conclusion can be
reached from the following set of statements. If two
angles form a linear pair and are congruent, they
are both right angles. A and B are both right
angles.
A. A
B. B
A. Yes, A and B are a linear
pair.
B. no conclusion
0%
B
A
0%
Over Chapter 2
Name the property that justifies the statement.
If m1 + m2 = 75 and m2 = m3, then
m1 + m3 = 75.
A. Substitution Property
0%
B
D. Symmetric Property
A
0%
A
B
C
0%
D
D
C. Addition Property
C
B. Reflexive Property
A.
B.
C.
0%
D.
Over Chapter 2
Find m1 and m2 if m1 = 8x + 18 and
m2 = 16x – 6 and m1 and m2 are
supplementary.
A. m1 = 106, m2 = 74
0%
B
D. m1 = 14, m2 = 166
A
0%
A
B
C
0%
D
D
C. m1 = 56, m2 = 124
A.
B.
C.
0%
D.
C
B. m1 = 74, m2 = 106
Over Chapter 2
The measures of two complementary angles are
x + 54 and 2x. What is the measure of the smaller
angle?
A. 24
0%
B
D. 84
A
0%
A
B
C
0%
D
D
C. 68
A.
B.
C.
0%
D.
C
B. 42
LA.1112.1.6.1 The student will use new
vocabulary that is introduced and taught
directly.
MA.912.G.1.3 Identify and use the
relationships between special pairs of angles
formed by parallel lines and transversals.
You used angle and line segment relationships
to prove theorems. (Lesson 2–8)
• Identify relationships between two lines or
two planes.
• Name angle pairs formed by parallel lines
and transversals
• parallel lines
• skew lines
• parallel planes
• transversal
• interior angles
• exterior angles
• consecutive
interior angles
• alternate interior
angles
• alternate exterior
angles
• corresponding
angles
Identify Parallel and Skew Relationships
A. Name all segments parallel to BC.
Answer: AD, EH, FG
Identify Parallel and Skew Relationships
B. Name a segment skew to EH.
Answer: AB, CD, BG, or CF
Identify Parallel and Skew Relationships
C. Name a plane parallel to plane ABG.
Answer: plane CDE
A. Name a plane that is
parallel to plane RST.
A. plane WTZ
A
0%
0%
B
D. plane QRX
0%
A
B
C
D
0%
D
C. plane WXY
A.
B.
C.
D.
C
B. plane SYZ
B. Name a segment that
intersects YZ.
A. XY
A.
B.
C.
D.
A
0%
0%
B
D. RS
0%
C
C. QW
A
B
C
D
0%
D
B. WX
C. Name a segment that
is parallel to RX.
A. ZW
A.
B.
C.
D.
A
0%
0%
B
D. ST
0%
C
C. QR
A
B
C
D
0%
D
B. TZ
Classify Angle Pair Relationships
A. Classify the relationship between 2 and 6 as
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Answer: corresponding
Classify Angle Pair Relationships
B. Classify the relationship between 1 and 7 as
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Answer: alternate exterior
Classify Angle Pair Relationships
C. Classify the relationship between 3 and 8 as
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Answer: consecutive interior
Classify Angle Pair Relationships
D. Classify the relationship between 3 and 5 as
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Answer: alternate interior
A. Classify the relationship
between 4 and 5.
A. alternate interior
B. alternate exterior
D. consecutive interior
0%
B
A
0%
0%
C
C. corresponding
A
B
C
D
0%
D
A.
B.
C.
D.
B. Classify the relationship
between 7 and 9.
A. alternate interior
B. alternate exterior
D. consecutive interior
0%
B
A
0%
0%
C
C. corresponding
A
B
C
D
0%
D
A.
B.
C.
D.
C. Classify the relationship
between 4 and 7.
A. alternate interior
B. alternate exterior
D. consecutive interior
0%
B
A
0%
0%
C
C. corresponding
A
B
C
D
0%
D
A.
B.
C.
D.
D. Classify the relationship
between 2 and 11.
A. alternate interior
B. alternate exterior
D. consecutive interior
0%
B
A
0%
0%
C
C. corresponding
A
B
C
D
0%
D
A.
B.
C.
D.
Identify Transversals and Classify Angle Pairs
A. BUS STATION The driveways at a bus station are
shown. Identify the transversal connecting 1 and
2. Then classify the relationship between the pair
of angles.
Answer: The transversal connecting 1 and 2 is
line v. These are corresponding angles.
Identify Transversals and Classify Angle Pairs
B. BUS STATION The driveways at a bus station are
shown. Identify the transversal connecting 2 and
3. Then classify the relationship between the pair
of angles.
Answer: The transversal connecting 2 and 3 is
line v. These are alternate interior angles.
Identify Transversals and Classify Angle Pairs
C. BUS STATION The driveways at a bus station are
shown. Identify the transversal connecting 4 and
5. Then classify the relationship between the pair
of angles.
Answer: The transversal connecting 4 and 5 is
line y. These are consecutive interior
angles.
A. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line a is a
transversal.
C. lines c, d, f
D. lines c, d, e, f
0%
B
A
0%
A.
B.
C.
D.
A
B
C
D
D
B. lines c, d, e
C
A. lines c, f
0%
0%
B. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line b is a
transversal.
C. lines c, d, e, f
D. lines a, c, d, e, f
0%
B
A
0%
A.
B.
C.
D.
A
B
C
D
D
B. lines c, f
C
A. no lines
0%
0%
C. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line c is a
transversal.
C. lines a, d, f
D. lines a, b, e
0%
B
A
0%
A.
B.
C.
D.
A
B
C
D
D
B. lines a, b, d, e, f
C
A. no lines
0%
0%
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