Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM...
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12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM Lesson 12.1 Adjacent and Vertical Angles
Transcript of Lesson 12.1 Adjacent and Vertical Angles · 12.1 Notes.notebook 1 October 30, 2018 Oct 283:02 PM...
12.1 Notes.notebook
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October 30, 2018
Oct 283:02 PM
Lesson 12.1Adjacent and Vertical Angles
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Warm Up
Identify the angles as acute, right, obtuse, or straight.
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Essential Question
What can you conclude about the angles
formed by two intersecting lines?
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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
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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.
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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.
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Key Idea
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Example 1
Use the figure shown.a. Name a pair of adjacent angles.
b. Name a pair of vertical angles.
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On your own 12
Name two pairs of adjacent angles and two pairs of vertical angles in the figure.
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Example 2
Tell whether the angles are adjacent or vertical. Then find the value of x.
a.
b.
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On your own 36
Tell whether the angles are adjacent or vertical. Then find the value of x.
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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.
