geo. lesson 1.4

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Slide 1: 

Solve each equation. 1. 5x + 6 + 2x – 14 = 90 2. 4x – 30 + x + 25 = 180 Warm-Ups 1.4 Day 1

Slide 11: 

EXAMPLE 1 Name angles

Slide 12: 

EXAMPLE 2 Measure and classify angles SOLUTION A protractor has an inner and an outer scale. When you measure an angle, check to see which scale to use.

Slide 13: 

EXAMPLE 2 Measure and classify angles

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GUIDED PRACTICE for Examples 1and 2 1. Name all the angles in the diagram at the right.Which angle is a right angle?

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GUIDED PRACTICE for Examples 1and 2 2. Draw a pair of opposite rays. What type of angle do the rays form?

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EXAMPLE 3 Find angle measures SOLUTION Angle Addition Postulate Substitute angle measures. 145 = 6x + 7 Combine like terms. Subtract 7 from each side. 138 = 6x Divide each side by 6. 23 = x

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EXAMPLE 3 Find angle measures

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GUIDED PRACTICE for Example 3 Find the indicated angle measures. Straight angle Substitute angle measures. Combine like terms. Subtract 2 from each side. Divide each side by 14. SOLUTION

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GUIDED PRACTICE for Example 3

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GUIDED PRACTICE for Example 3 4. Given that EFG is a right angle, find m EFH and m HFG. Substitute angle measures. Combine like terms. Subtract 3 from each side. Divide each side by 3. SOLUTION

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GUIDED PRACTICE for Example 3

Homework 1.4 Day 1 : 

Homework 1.4 Day 1 pp. 28–32 Exs. 1–21, 65–73

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Solve the equation. Warm-Ups 1.4 Day 2

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EXAMPLE 4 Identify congruent angles Trapeze

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GUIDED PRACTICE for Example 4 5. Identify all pairs of congruent angles in the diagram. There are two pairs of Congruent angles in the diagram. SOLUTION

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GUIDED PRACTICE for Example 4 SOLUTION Congruent angles Congruent angles

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SOLUTION EXAMPLE 5 Double an angle measure

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GUIDED PRACTICE for Example 5

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GUIDED PRACTICE for Example 5 Angle addition postulate Straight angle Add Divided each side by 2

Homework 1.4 Day 2 : 

Homework 1.4 Day 2 pp. 28–32 Exs. 22–39, 51–58,64