Warmup 2/(# of sides on a heptagon)
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1 Created by Mr. Lischwe Warmup 2/(# of sides on a heptagon) C E A B D F GIVE AN EXAMPLE OF: 1. An obtuse angle 2. A pair of supplementary angles 3. A pair of vertical angles 4. A pair of complementary angles 5. HDG and GDE are: A) Complementary B) Supplementary C) Vertical D) None of these 6. HDG and EDF are: H G A) Complementary B) Supplementary C) Vertical D) None of these
2 Table of Contents (2 nd Semester) p. 1 Exponent Basics (1.2) p. 2 Multiplying and Dividing Powers (1.3) p. 3 Power to a Power (1.4) p. 4 Zero & Negative Exponents (1.5) p. 5 Scientific Notation (1.6) p. 6 Calcluating with Scientific Notation (1.7) p. 7 Angle Basics p. 8 Angles formed by Parallel Lines (5.1) BACK TO THIS PAGE
3 Refresher Give one of the angles, how can I find the rest?
4 New terminology Which angles would you say are interior angles? Which angles would you say are exterior angles?
5 Copy into binder (with diagram): Alternate Interior: 4 and 5, 3 and 6 Same-side Interior: 3 and 5, 4 and 6 Alternate Exterior: 1 and 8, 2 and 7 Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and
6 Hints to help remember: Alternate Interior Angles: Form a Z Same-side interior: Form a C or U Alternate Exterior: Sort of like vertical angles, but separated more Corresponding Angles: The ones in matching positions. Bottom left bottom left
7 Which type of angle? 1 Alternate Exterior 2
8 Which type of angle? 1 2 Same-side Interior
9 Which type of angle? 1 2 Vertical
10 Which type of angle? Corresponding 1 2
11 Which type of angle? 1 2 Alternate Interior
12 Which type of angle? 1 2 Same-side interior
13 Which type of angle? 1 2 Corresponding
14 Which type of angle? 1 Alternate Interior 2
15 Which type of angle? 1 2 Vertical
16 Which type of angle? 1 2 Supplementary
17 Which type of angle? 1 2 Alternate Interior
18 Which type of angle? Corresponding 1 2
19 Which type of angle? Same-side interior 1 2
20 Which type of angle? Corresponding 1 2
21 Look at angles 3 and 6. What do you think is the relationship between them? Angles like this are called alternate interior. Interior = between the lines. Alternate = different sides of the transversal. If you have parallel lines, angles like this will always be congruent. Can you see another pair of alternate interior angles?
22 Look at angles 4 and 6. What do you think is the relationship between them? Angles like this are called same-side interior. Interior = between the lines. Same-side = same side of the transversal. If you have parallel lines, angles like this will always be supplementary. Can you see another pair of same-side interior angles?
23 Look at angles 1 and 8. What do you think is the relationship between them? Angles like this are called alternate exterior. Exterior = outside the lines. Alternate = opposite sides of the transversal. If you have parallel lines, angles like this will always be congruent. Can you see another pair of alternate exterior angles?
24 Remember, if the lines are parallel, corresponding angles are congruent
25 IN YOUR BINDER: WHEN THE LINES ARE PARALLEL: Corresponding: congruent Alternate Interior: congruent Alternate Exterior: congruent Same-side Interior: supplementary
26 Whiteboards If the measure of angle 1 is 30 degrees, what is the measure of angle 2? HOW DO YOU KNOW? 1 m 2 = 30 o ; they are alternate exterior 2
27 Whiteboards If the measure of angle 1 is 45 degrees, what is the measure of angle 2? HOW DO YOU KNOW? 1 2 m 2 = 135 o ; they are same-side interior
28 Whiteboards If the measure of angle 1 is 25 degrees, what is the measure of angle 2? HOW DO YOU KNOW? 1 2 m 2 = 25 o ; they are vertical
29 Whiteboards If the measure of angle 1 is 115 degrees, what is the measure of angle 2? HOW DO YOU KNOW? m 2 = 115 o ; they 1 are corresponding 2
30 Whiteboards If the measure of angle 1 is 107 degrees, what is the measure of angle 2? HOW DO YOU KNOW? m 2 = 107 o ; they are alternate interior 1 2
31 Whiteboards If the measure of angle 1 is 41 degrees, what is the measure of angle 2? HOW DO YOU KNOW? 1 2 m 2 = 139 o ; they are supplementary
32 Whiteboards If the measure of angle 1 is 41 degrees, what is the measure of angle 2? HOW DO YOU KNOW? 1 2 TRICK QUESTION: These lines aren t parallel. We don t know!
33 Extra one If the measure of angle 1 is 40 degrees, what is the measure of angle 2? HOW DO YOU KNOW? m 2 = 140 o ; angle 3 is 40 degrees because it corresponds to angle 1; angle 2 is supplementary with angle 3
34 HOMEWORK Parallel Lines WS
2/7/2018. Check HW. Objectives: How many angles are there? Table of Contents (2 nd Semester) 40 o 1 2. Angles formed by Parallel Lines
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Angles formed by Parallel Lines
Worksheet Answers 1. a = 60, b = 120, c = 120 2. a = 90, b = 90, c = 50 3. a = 77, b = 52, c = 77, d = 51 4. a = 60, b = 120, c = 120, d= 115, e = 65, f =115, g = 125, h =55, I =125 5. a = 90, b = 163,
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Unit 1 Unit 1 A M. M.Sigley, Baker MS. Unit 1 Unit 1. 3 M.Sigley, Baker MS
A M S 1 2 G O E A B 3 4 LINE POINT Undefined No thickness Extends infinitely in two directions Designated with two points Named with two capital letters or Undefined No size Named with a capital letter