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Over Chapter 2
Make a conjecture about the next number in the
sequence, 5, 20, 80, 320.
A. 380
B. 395
C. 1280
D. 1580
Over Chapter 2
Make a conjecture about the next number in the
sequence, 5, 20, 80, 320.
A. 380
B. 395
C. 1280
D. 1580
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.
B. If you live in Massachusetts,
then you do not live in Boston.
C. If you do not live in
Massachusetts, then you live
in Boston.
D. You might live in
Massachusetts or Boston.
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.
B. If you live in Massachusetts,
then you do not live in Boston.
C. If you do not live in
Massachusetts, then you live
in Boston.
D. You might live in
Massachusetts or 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. Yes, ∠A and ∠B are a linear pair.
B. no conclusion
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. Yes, ∠A and ∠B are a linear pair.
B. no conclusion
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
B. Reflexive Property
C. Addition Property
D. Symmetric Property
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
B. Reflexive Property
C. Addition Property
D. Symmetric Property
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
B. m∠1 = 74, m∠2 = 106
C. m∠1 = 56, m∠2 = 124
D. m∠1 = 14, m∠2 = 166
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
B. m∠1 = 74, m∠2 = 106
C. m∠1 = 56, m∠2 = 124
D. m∠1 = 14, m∠2 = 166
Over Chapter 2
The measures of two complementary angles are
x + 54 and 2x. What is the measure of the smaller
angle?
A. 24
B. 42
C. 68
D. 84
Over Chapter 2
The measures of two complementary angles are
x + 54 and 2x. What is the measure of the smaller
angle?
A. 24
B. 42
C. 68
D. 84
Content Standards
G.CO.1 Know precise definitions of angle, circle,
perpendicular line, parallel line, and line
segment, based on the undefined notions of
point, line, distance along a line, and distance
around a circular arc.
Mathematical Practices
1 Make sense of problems and persevere in
solving them.
3 Construct viable arguments and critique the
reasoning of others.
You used angle and line segment relationships
to prove theorems.
• 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:
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:
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:
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
B. plane SYZ
C. plane WXY
D. plane QRX
A. Name a plane that is
parallel to plane RST.
A. plane WTZ
B. plane SYZ
C. plane WXY
D. plane QRX
B. Name a segment that
intersects YZ.
A. XY
B. WX
C. QW
D. RS
B. Name a segment that
intersects YZ.
A. XY
B. WX
C. QW
D. RS
C. Name a segment that
is parallel to RX.
A. ZW
B. TZ
C. QR
D. ST
C. Name a segment that
is parallel to RX.
A. ZW
B. TZ
C. QR
D. ST
Classify Angle Pair Relationships
A. Classify the relationship between ∠2 and ∠6 as
alternate interior, alternate exterior, corresponding,
or consecutive interior angles.
Answer:
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:
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:
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:
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
C. corresponding
D. consecutive interior
A. Classify the relationship
between ∠4 and ∠5.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
B. Classify the relationship
between ∠7 and ∠9.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
B. Classify the relationship
between ∠7 and ∠9.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
C. Classify the relationship
between ∠4 and ∠7.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
C. Classify the relationship
between ∠4 and ∠7.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
D. Classify the relationship
between ∠2 and ∠11.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
D. Classify the relationship
between ∠2 and ∠11.
A. alternate interior
B. alternate exterior
C. corresponding
D. consecutive interior
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:
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:
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:
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:
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.
A. lines c, f
B. lines c, d, e
C. lines c, d, f
D. lines c, d, e, f
A. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line a is a
transversal.
A. lines c, f
B. lines c, d, e
C. lines c, d, f
D. lines c, d, e, f
B. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line b is a
transversal.
A. no lines
B. lines c, f
C. lines c, d, e, f
D. lines a, c, d, e, f
B. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line b is a
transversal.
A. no lines
B. lines c, f
C. lines c, d, e, f
D. lines a, c, d, e, f
C. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line c is a
transversal.
A. no lines
B. lines a, b, d, e, f
C. lines a, d, f
D. lines a, b, e
C. HIKING A group of nature
trails is shown. Identify the sets
of lines to which line c is a
transversal.
A. no lines
B. lines a, b, d, e, f
C. lines a, d, f
D. lines a, b, e