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Math 2 ____________Unit 1: Triangles Pt 1
Remind: text @18math2s to 81010Day Date Lesson Assignment Stamp
1 SyllabusTriangle Sum Theorem
2 Triangle Sum Theorem
3 Exterior Angle Theorem
4 Practice/Review
5 Quiz on Day 1-3Proof Notecards
6 Notecards
7 Notecards
8 Notecard Quiz
9 Parallel Lines
10 Parallel Lines
11 Parallel Lines
12 Quiz on Parallel Lines
13 Review
14 Unit 1 Test
1
Math 2 – Unit 1: Triangles Day 1: Triangle Sum Theorem
Parts of a Triangle:
Triangle – _______________________________________
Name – _______________
Sides – _______________
Vertices – _______________
Angles – _______________
Angle Sum Theorem:
The sum of the measures of the interior angles of a ___________________ is __________.
Example 1: Solve for the measure of the missing angle
You Try #1: Solve for the missing angle in each of the following triangles
a. b. c.
2
Vertical Angles Linear Pairs
Definition
Picture
Rule
Examples with Vertical AnglesExample 2: Solve for the measure of angles 1, 2, and 3 You Try 2: Solve for the measure of angles 1, 2, and 3
Examples with Linear PairsExample 3: Find the measure of Angle A You Try 3: Find the measure of Angle DCB
m∠ A = m∠DCB =
3
CA
B
D
20
56 2755B
D
C
A
In Class Practice
1. 2.
3. 4.
5. 6.
4
Unit 1 Day 1 Homework – Triangle Sum Theorem
1.
2.3.
b = ____________ b = ____________ x = ___________
4. 5. 6.
X = ___________ x = ___________ x = ____________
7. 8. 9.
? = __________ ? = _________ ? = ____________
5
Math 2 – Unit 1: TrianglesDay 2: Triangle Sum Theorem continued
You will need to be able to apply algebra skills to solve for missing angles
Example 1:
You Try 1: a. b. c.
Example 2: Use vertical angles to solve for the variable
6
You Try 2: Use vertical angles to solve for the variablea. b.
Example 3: Use linear pairs to solve for the variable
You Try 3: Use linear pairs to solve for the variablea. b.
7
Day 2 Homework – Triangle Sum Theorem Cont. Name:____________________1. 2.
3. 4.
5. 6.
7. NCFE Prep Question
The measure of Angle A is three times the measure of Angle B. The measure of Angle C is 8 less than the measure of Angle B. Find the measures of Angles A, B, and C.
8
Day 3 Exterior Angle Theorem
Find the measure of each angle1. 2.
3. 4.
5. 6.
9
Day 3 Exterior Angle Theorem
Find the measure of each angle x.7. 8.
9. 10.
11. 12.
10
Day 4 Practice!
Problem #1
Find m3 if m5 = 130 and m4 = 70.
Problem #2
Find m1 if m5 = 142 and m4 = 65.
Problem #3
Find m2 if m3 = 125 and m4 = 23.
Problem #4
m6 + m7 + m8 = _______.
Problem #5
If m6 = x, m7 = x – 20, and m11 = 80, then x = _____.
Problem #6
If m8 = 4x, m7 = 30, and m9 = 6x -20, then x = _____.
11
425
3 1
9
11
107
8
6
425
3 1
425
3 1
9
11
107
8
6
9
11
107
8
6
Problem #7Solve for x
.
Problem #8Solve for x
Problem #9Solve for x
Problem #10Solve for x
Problem #11 Find m1, m2, m3, m4, and m5.
12
x°
(5x)°120
35°
x° 140°
(4x)°
(3x + 54)ºx°
(x - 20)°
(2x)º
x°
34
52
1 142°
82°65°
46°
Day 5-8 Notecard Proofs
13
D is the midpoint of BC
DB C AC
AC ≅TR
BA CD
E
DEbisects AC
1 2
21
Day 9-12 Parallel LinesParallel Lines cut by a Transversal
Refer to the above figure and identify the special angle pair name.
1) 3 and 13 ______________________________________________________
2) 16 and 10 _____________________________________________________
3) 11 and 15 ____________________________________________________
14
13
16 1514
12 118 7
43
10965
21
M
L
N
PM⃗Pbisects∠LMNL
M
NJ K
JK⊥ LM
C and D are right angles.
T R
Q
P
∠1≅∠2∧∠2≅∠3
4) 8 and 6 ____________________________________________________
5) 1 and 6 _____________________________________________________
6) 6 and 10 _____________________________________________________
7) 14 and 15 _____________________________________________________
8) 7 and 12 _____________________________________________________
Let m1 = 115 and m12 = 110
13. m9 = ______ 14. m4 = ______
15. m10 = ______ 16. m11 = ______
17. m8 = ______ 18. m5 = ______
19. m3 = ______ 20. m14 = ______
Parallel Lines
Classify each pair of angles as alternate interior angles, same –side interior angles, or corresponding angles.
1. 2. 3.
4. 5. 6.
Use the figure to the right to answer questions 7, 8, and 9.
15
161514131211109
87654321
7. Name all of the pairs of corresponding angles in the picture.
8. Name all of the pairs of alternate interior angles in the picture.
9. Name all of the pairs of side-side interior angles in the picture.
Classify the relationship between each given pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
10. ∡4 ≅∡5
11. ∡5≅∡11
12. ∡4 ≅∡6
13. ∡7≅∡9
14. ∡2≅∡8
15. ∡3≅∡6
16. ∡1≅∡9
17. ∡3≅∡9
18. ∡6≅∡12
19. ∡7≅∡11
Parallel LinesFind the measure of the indicated angle.
20. 21.
22. 23.
16
24. 25.
26. 27.
17
Parallel LinesExample 1:
Example 2:
Example 3: You Try 1:
You Try 2: You Try 3:
18
4. 5.
6. 7.
8. 9.
19
10. 11.
12. 13.
20