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Lesson 3-1 Example 1a A. Name all planes that are parallel to plane AEF. Identify Relationships Answer: plane BHG
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Lesson 3-1 Menu
1. Make a conjecture about the next number in the sequence: 5, 20, 80, 320.
2. What is the contrapositive of this statement? If you live in Boston, then you live in Massachusetts.
3. Name the property that justifies the statement. If m 1 + m 2 = 75 and m 2 = m 3, then m 1 + m 3 = 75.
4. The measures of two complementary angles are in the ratio 7:8. What is the measure of the larger angle?
Lesson 3-1 Ideas/Vocabulary
• Identify the relationships between two lines or two planes.
• parallel lines
• Name angles formed by a pair of lines and a transversal.
• parallel planes• skew lines• transversal
• consecutive interior angles• alternate exterior angles• alternate interior angles• corresponding angles
Lesson 3-1 Example 1a
A. Name all planes that are parallel to plane AEF.
Identify Relationships
Answer: plane BHG
Lesson 3-1 Example 1b
__B. Name all segments that intersect AF.
Identify Relationships
Answer: EF, GF, DA, and BA__ __ __ __
Lesson 3-1 Example 1c
__C. Name all segments that are skew to AD.
Identify Relationships
Answer: FG, GB, EH, EC, and CH__ __ __ __ __
Lesson 3-1 CYP 1a
A. A
B. B
C. C
D. D
A. Name a plane that is parallel to plane RST.
plane WTZ
plane SYZ
plane WXY
plane QRX
Lesson 3-1 CYP 1b
B. Name a segment that intersects YZ.
XY
WX
QW
RS
A.
B.
C.
D.
Lesson 3-1 CYP 1c
C. Name a segment that is parallel to RX.
A.
B.
C.
D.
ZW
TZ
QR
ST
A. A
B. B
C. C
D. D
RX
ST
XW
QW
__
__
___
___
Lesson 3-1 CYP 1d
D. Name a segment that is skew to TZ.
__
Lesson 3-1 Example 2a
Identify Transversals
A. BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line v is a transversal.
Answer: If the lines are extended, line v intersects lines u, w, x, and z.
Lesson 3-1 Example 2b
Identify Transversals
B. BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line y is a transversal.
Answer: lines u, w, x, z
Lesson 3-1 Example 2c
Identify Transversals
C. BUS STATION Some of a bus station’s driveways are shown. Identify the sets of lines to which line u is a transversal.
Answer: lines v, x, y, z
Lesson 3-1 CYP 2a
A. A
B. B
C. C
D. D
A. HIKING A group of nature trails is shown. Identify the sets of lines to which line a is a transversal.
lines c, f
lines c, d, e
lines c, d, f
lines c, d, e, f
Lesson 3-1 Example 3a
Identify Angle Relationships
Answer: corresponding
A. Identify 7 and 3 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Lesson 3-1 Example 3b
Identify Angle Relationships
B. Identify 8 and 2 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate exterior
Lesson 3-1 Example 3c
Identify Angle Relationships
C. Identify 4 and 11 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: corresponding
Lesson 3-1 Example 3d
Identify Angle Relationships
D. Identify 7 and 1 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate exterior
Lesson 3-1 Example 3e
Identify Angle Relationships
E. Identify 3 and 9 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: alternate interior
Lesson 3-1 Example 3f
Identify Angle Relationships
F. Identify 7 and 10 as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
Answer: consecutive interior
A. Identify 4 and 5.
Lesson 3-1 CYP 3a
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
B. Identify 7 and 9.
Lesson 3-1 CYP 3b
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
C. Identify 4 and 7.
Lesson 3-1 CYP 3c
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
D. Identify 2 and 11.
Lesson 3-1 CYP 3d
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
E. Identify 3 and 5.
Lesson 3-1 CYP 3e
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
F. Identify 6 and 9.
Lesson 3-1 CYP 3e
A. A
B. B
C. C
D. D
alternate interior
alternate exterior
corresponding
consecutive interior
