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Splash Screen
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Lesson Menu
Five-Minute Check (over Lesson 31) Then/Now Postu
late 3.1 Corresponding Angles Postulate Example
1 Use Corresponding Angles Postulate Theorems Pa
rallel Lines and Angle Pairs Proof Alternate
Interior Angles Theorem Example 2 Real-World
Example Use Theorems about Parallel
Lines Example 3 Find Values of Variables Theorem
3.4 Perpendicular Transversal Theorem
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5-Minute Check 1
Choose the plane parallel to plane MNR.
A. RST B. PON C. STQ D. POS

1. A
2. B
3. C
4. D

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5-Minute Check 2

1. A
2. B
3. C
4. D

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5-Minute Check 3
Classify the relationship between ?1 and ?5.
A. corresponding angles B. verticle
angles C. consecutive interior angles D.
alternate exterior angles

1. A
2. B
3. C
4. D

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5-Minute Check 4
Classify the relationship between ?3 and ?8.
A. alternate interior angles B. alternate
exterior angles C. corresponding
angles D. consecutive interior angles

1. A
2. B
3. C
4. D

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5-Minute Check 5
Classify the relationship between ?4 and ?6.
A. alternate interior angles B. alternate
exterior angles C. corresponding
angles D. verticle angles

1. A
2. B
3. C
4. D

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5-Minute Check 6

1. A
2. B
3. C
4. D

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Then/Now
You named angle pairs formed by parallel lines
and transversals. (Lesson 31)

• Use theorems to determine the relationships
  between specific pairs of angles.

• Use algebra to find angle measurements.

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Concept
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Example 1
Use Corresponding Angles Postulate
A. In the figure, m?11 51. Find m?15. Tell
which postulates (or theorems) you used.
?15 ? ?11 Corresponding Angles Postulate m?15
m?11 Definition of congruent angles m?15
51 Substitution
Answer m?15 51
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Example 1
Use Corresponding Angles Postulate
B. In the figure, m?11 51. Find m?16. Tell
which postulates (or theorems) you used.
?15 ? ?11 Corresponding Angles
Postulate ?15 ? ?16 Substitution ?11 ? ?16
Supplement Theorem m?11 m?16 Definition of
Congruent Angles m?16 51 Substitution
Answer m?16 51
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• Mrs. Highman Personal Tutor

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Example 1a
A. In the figure, a b and m?18 42. Find m?22.
A. 42 B. 84 C. 48 D. 138

1. A
2. B
3. C
4. D

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Example 1b
B. In the figure, a b and m?18 42. Find m?25.
A. 42 B. 84 C. 48 D. 138

1. A
2. B
3. C
4. D

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Concept
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Example 2
Use Theorems about Parallel Lines
FLOOR TILES The diagram represents the floor
tiles in Michelles house. If m?2 125, find m?3.
?2 ? ?3 Alternate Interior Angles
Postulate m?2 m?3 Definition of congruent
angles 125 m?3 Substitution Answer m?3
125
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Example 2
FLOOR TILES The diagram represents the floor
tiles in Michelles house. If m?2 125, find m?4.
A. 25 B. 55 C. 70 D. 125

1. A
2. B
3. C
4. D

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Example 3
Find Values of Variables
A. ALGEBRA If m?5 2x 10, and m?7 x 15,
find x.
?5 ? ?7 Corresponding Angles Postulate m?5
m?7 Definition of congruent angles 2x 10
x 15 Substitution x 10 15 Subtract x
from each side. x 25 Add 10 to each
side. Answer x 25
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Example 3
Find Values of Variables
B. ALGEBRA If m?4 4(y 25), and m?8 4y,
find y.
?8 ? ?6 Corresponding Angles Postulate m?8
m?6 Definition of congruent angles 4y m?6
Substitution
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Example 3
Find Values of Variables
m?6 m?4 180 Supplement Theorem 4y 4(y
25) 180 Substitution 4y 4y
100 180 Distributive Property 8y 280 Add 100
to each side. y 35 Divide each side by 8.
Answer y 35
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• Mr. Hardesty Personal Tutor

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Example 3
A. ALGEBRA If m?1 9x 6, m?2 2(5x 3), and
m?3 5y 14, find x.
A. x 9 B. x 12 C. x 10 D. x 14

1. A
2. B
3. C
4. D

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Example 3
B. ALGEBRA If m?1 9x 6, m?2 2(5x 3), and
m?3 5y 14, find y.
A. y 14 B. y 20 C. y 16 D. y 24

1. A
2. B
3. C
4. D

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Concept
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End of the Lesson