geometry 2.6

Geometry Lesson 2.6 : 

Geometry Lesson 2.6

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EXAMPLE 1 Write a two-column proof

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EXAMPLE 1 Write a two-column proof 4. m∠ 1 + m∠ 2 = m∠ DBC

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GUIDED PRACTICE for Example 1 GIVEN : AC = AB + AB PROVE : AB = BC

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GUIDED PRACTICE for Example 1

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EXAMPLE 2 Name the property shown Name the property illustrated by the statement. SOLUTION

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GUIDED PRACTICE for Example 2

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EXAMPLE 3 Use properties of equality

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EXAMPLE 3 Use properties of equality

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EXAMPLE 3 Use properties of equality

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GUIDED PRACTICE for Example 3

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GUIDED PRACTICE for Example 3

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GUIDED PRACTICE for Example 3

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EXAMPLE 4 Solve a multi-step problem

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EXAMPLE 4 Solve a multi-step problem SOLUTION STEP 1 STEP 2 STEP 3 State what is given and what is to be proved for the situation. Then write a proof.

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EXAMPLE 4 Solve a multi-step problem

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EXAMPLE 4 Solve a multi-step problem

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GUIDED PRACTICE for Example 4 5. In Example 4, does it matter what the actual distances are in order to prove the relationship between AB and CD? Explain. 6. In Example 4, there is a clothing store halfway between the music store and the shoe store. What other two store entrances are the same distance from the entrance of the clothing store?