Parallel Lines, Transversals, and Angle Relationships
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1 Module 2: Part 2 Congruence Parallel Lines, Transversals, and Angle Relationships
2 parallel lines tranversal line vertical angles alternate interior angles alternate exterior angles consecutive interior angles corresponding angles supplemental angles Which lines are parallel? What is line t called? What is this symbol? Example vs. = What is the measurement of the following angles. Explain your reasoning
3 alternate exterior angles vertical angles alternate interior angles supplemental angles corresponding angles What is the measurement of the following angles. Explain your reasoning = 85 3
4 Assignment: Big Ideas 3. #3 odd, 5 23 odd ENY Lesson 2 Angles Associated with Parallel Lines 4
5 Lesson 2: Angles Associated with Parallel Lines Exploratory Challenge In the figure below, is not parallel to 2, and equal? Explain why. is a transversal. Use a protractor to measure angles 8. Which, if any, are Exploratory Challenge 2 In the figure below, 2, and is a transversal. Use a protractor to measure angles 8. List the angles that are equal in measure. c. What did you notice about the measures of 4 and 6? Why do you think this is so? (Use your transparency, if needed). Is there another pair of angles with this same relationship? Lesson 2: Date: 203 Common Core, Inc. Some rights reserved. commoncore.org Angles Associated with Parallel Lines 9/8/3 S.64 This work is licensed under a Creative Commons Attribution NonCommercial ShareAlike 3.0 Unported License. 5
6 If L L 2, what do you know about 2 and 6? Use informal arguments to support your claim. If L L 2, what do you know about and 3? Use informal arguments to support your claim. If 3 is 30 o, what is the measurment of 6. What is the angle relationship? 8 L L 2 m If L and L 2 are parallel and is 40 o, find the measurement of the following angles and describe the angle relationship. 3 = 6 = 8 = 6
7 Complete the Exit Ticket and it hand in. ENY 2.2 # 0 Assignment: 7
8 Angles Sum of a Triangle What do you notice about the angles? 8
9 I will prove to you that all 3 angles will equal 80 o!
10 x o 8 o 32 o 48 o x o 25 o Find the measurement of x. Find the measurement of x. x o (x + 28) o (x 35) o 43 o x o Find the measurement of x. Find the measurement of x. 0
11 k 46 Find the measurement of k. How do you think you can find an outside angle measurement? What about these angle measurements? Find the measurement of a. 80 o (a 5) o 2a o
12 62.8 o x (2x 44.8) o Find the measurement of angle x. Complete the Exit Ticket and it hand in. x o 36 o 72 o Find the measurement of x. 2
13 Big Ideas 3.2 #5 7 Assignment: ENY Lesson 3 Angle Sum of a Triangle 3
14 a) AE BC. Name the three interior angles of triangle ABC... E... b) Name the straight angle. c) What kinds of angles are ABC and ECD? What does that mean about their measures? d) What kinds of angles are BAC and ECA? What does that mean about their measures? a) Name the triangle in the figure. b) Name the straight angle that we will use to prove that the sum of interior angles of a triangle is 80 o. L L 2 A B C D 6 o 6 o E G F m n c) Find the measurements of the following angles and explain your reasoning. BFG ABF CFE BCF CBF 4
15 Complete the Exit Ticket and it hand in. ENY 2.3 # 9 Assignment: Angles in Parallel Lines and Transversals 5
16 47 O A B E F C D64G O H I A B C D E = 47 O J K L M N O P Q R = 47 O vertical to angle A F G H I J K L M N O P Q R = 64 O Draw the parallel lines with the red transversal and list the angles in your notebook. Find the missing angle measurements with your group O O 47 A B E O F 33 O 33 O C 47 D O G H I 64 O O J 69 O 47 K O O 64 L O 47 O O P33 O M N47 O Q R 47 O 33 O 33 O A B C D E = 47 O = 33 O F G H I J K L M N O = 33 O = 64 O = 69 O = 47 O = 47 O = 69 O = 64 O = 33 O = 47 O = 47 O = 33 O P = 33 O = 47 O Q = 33 O = 47 O R = 47 O 6
17 Complete the Exit Ticket and it hand in. Assignment: Multiple Transversals copied page 7
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