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Transcript
Cp Geometry
Miss Sciandra
Name:_________________________________
Date:_______ Period:_______
Section 3.1
Lines & Angles
Warm Up:
2
1
3
6
5
7
4
8
Describe and name two Adjacent Angles ___________________________________________________
______________________________________________________________________________________________________
Describe and name two Vertical Angles ____________________________________________________
______________________________________________________________________________________________________
Describe and name two Supplementary Angles ____________________________________________
______________________________________________________________________________________________________
Describe and name two Complementary Angles ___________________________________________
______________________________________________________________________________________________________
Describe and name two Corresponding Angles _____________________________________________
______________________________________________________________________________________________________
Describe and name two Alternate Interior Angles _________________________________________
______________________________________________________________________________________________________
Describe and name two Alternate Exterior Angles _________________________________________
______________________________________________________________________________________________________
Circle all types of angle pairs that are congruent ALWAYS.
Adjacent
Vertical
Supplementary
Complementary
Corresponding
Alternate Interior
Alternate Exterior
Cp Geometry
Miss Sciandra
Name:_________________________________
Date:_______ Period:_______
Identify each pair of angles as adjacent, vertical, complimentary, supplementary,
congruent, linear pair. List ALL that apply.
a
a
b
b
b
a
a
a
b
b
a
b
a
b
E
Find the measure of the indicated angles.
A
16. mBCA
17. mBAC
B
30°
C 50°
18. mBCD
19. mBAE
D
Cp Geometry
Miss Sciandra
Name:_________________________________
Date:_______ Period:_______
Name ___________________________________________ Date ______________
Course 3, Lesson 54: Angle Relationships Homework
Identify each pair of angles as adjacent, vertical, complimentary, supplementary, congruent or linear pair.
List ALL that apply.
Identify each pair of angles as corresponding, alternate-interior, or alternate-exterior. Also
state whether they are congruent or supplementary.
Find the measure of angle b and describe how it is related to the given angle measure.
Cp Geometry
Name:_________________________________
Miss Sciandra
Date:_______ Period:_______
11)
12)
60°
65°
b
b
13)
14)
244°
b
46°
b
23°
15)
16)
b
39°
85°
b
** BONUS** Find the value of x.
17)
18)
35°
(2x + 16)°
(4x + 3)°
(6x + 2)°
56°
Cp Geometry
Miss Sciandra
Name:_________________________________
Date:_______ Period:_______
Key:
Warm Up:
1. Adjacent= Next To (share a ray). Answers Vary: EX: 7 & 8
2. Vertical= Opposite, formed by two lines, congruent. Answers Vary: EX: 1 &
4
3. Supplementary= Measures sum to 180°. Answers Vary: EX: 5 & 6
4. Complementary= Measures sum to 90°. Not enough information.
5. Corresponding= Angle can be translated (slid), congruent. Answers Vary: EX:
2 & 6
6. Alternate-Interior= opposite sides of transversal, on inside of parallel lines,
congruent, do not share a vertex. Answers Vary: EX: 3 & 6
7. Alternate-Exterior= opposite sides of transversal, on outside of parallel lines,
congruent. Answers Vary: EX: 1& 8
8. Congruent: Vertical, Corresponding, Alternate-Interior, Alternate Exterior
Page 2
1. Adjacent
2. Vertical, Congruent
3. Adjacent
4. Adjacent, Linear Pair, Supplementary
5. Adjacent
6. Adjacent, Linear Pair, Supplementary
7. Vertical, Congruent
8. Complimentary, Adjacent
9. Supplementary
10.
11.
12.
13.
14.
15.
FGE & CGD (only)
FGC & EGD (only)
Answers Vary: EX: EGF & FGA (Two letters are in common)
Answers Vary: EX: FGA & AGD
Answers Vary: EX: AGB & BGC
Answers Vary: EX: FGE & EGD
16.
17.
18.
19.
150°
100°
130°
80°
Cp Geometry
Miss Sciandra
Name:_________________________________
Date:_______ Period:_______
Page 3
1. Vertical, Congruent
2. Adjacent, Supplementary, Linear Pair
3. Vertical, Congruent
4. Adjacent, Complimentary
5. Adjacent, Complementary
6. Adjacent
7. Corresponding, Congruent
8. Alternate-Interior, Congruent
9. Alternate-Exterior, Congruent.
10. Corresponding, Congruent
Page 4
11. 25° (complementary to 65°)
12. 60° (alternate-exterior with 60°)
13. 93° (360°-(244°+23°))
14. 46° (vertical with 46°)
15. 51° (complementary with 39°)
16. 95° (makes a linear pair to an angle that is corresponding (or alternateinterior) with 85°
Bonus:
17. x = 51 (4x + 3 + 2x + 16 + 35 = 360)
18. x = 9 (6x + 2 = 56)