lesson 12.1 adjacent and vertical angles · 12.1 notes.notebook 1 october 30, 2018 oct 283:02 pm...
TRANSCRIPT
![Page 1: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/1.jpg)
12.1 Notes.notebook
1
October 30, 2018
Oct 283:02 PM
Lesson 12.1Adjacent and Vertical Angles
![Page 2: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/2.jpg)
12.1 Notes.notebook
2
October 30, 2018
Warm Up
Identify the angles as acute, right, obtuse, or straight.
![Page 3: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/3.jpg)
12.1 Notes.notebook
3
October 30, 2018
Essential Question
What can you conclude about the angles
formed by two intersecting lines?
![Page 4: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/4.jpg)
12.1 Notes.notebook
4
October 30, 2018
Activity 1
Work with a partner.a. Draw the hands of the clock to represent the given type of angle.
Acute Straight Right Obtuse
b. What is the measure of the angle formed by the hands of the clock at the given time?
9:00 6:00 12:00
![Page 5: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/5.jpg)
12.1 Notes.notebook
5
October 30, 2018
Activity 2
Work with a partner. Some angles, such as ∠A, can be named by a single letter. When this does not clearly identify an angle, you should use three letters, as shown.
a. Name all the right angles, acute angles, and obtuse angles.
b. Which pairs of angles do you think are adjacent? Explain.
![Page 6: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/6.jpg)
12.1 Notes.notebook
6
October 30, 2018
Activity 3
Work with a partner.a. How many angles are formed bythe intersecting roads? Number
the angles.
b. CHOOSE TOOLS Measure each angleformed by the intersecting roads.
What do you notice?The ones across from each other have the same measure.
![Page 7: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/7.jpg)
12.1 Notes.notebook
7
October 30, 2018
Key Idea
![Page 8: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/8.jpg)
12.1 Notes.notebook
8
October 30, 2018
Example 1
Use the figure shown.a. Name a pair of adjacent angles.
b. Name a pair of vertical angles.
![Page 9: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/9.jpg)
12.1 Notes.notebook
9
October 30, 2018
On your own 12
Name two pairs of adjacent angles and two pairs of vertical angles in the figure.
![Page 10: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/10.jpg)
12.1 Notes.notebook
10
October 30, 2018
Example 2
Tell whether the angles are adjacent or vertical. Then find the value of x.
a.
b.
![Page 11: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/11.jpg)
12.1 Notes.notebook
11
October 30, 2018
On your own 36
Tell whether the angles are adjacent or vertical. Then find the value of x.
![Page 12: Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles](https://reader034.vdocument.in/reader034/viewer/2022051512/60387c6838bb772cf045b375/html5/thumbnails/12.jpg)
12.1 Notes.notebook
12
October 30, 2018
Closure
True or False?
1. Vertical angles are always acute.
2. Adjacent angles could be acute.
3. Adjacent angles could be obtuse.
4. Vertical angles are congruent.
5. Adjacent angles could be congruent.