EXAMPLE 4

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# EXAMPLE 4 - PowerPoint PPT Presentation

Shopping Mall.

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Presentation Transcript

Shopping Mall

Walking down a hallway at the mall, you notice the music store is halfway between the food court and the shoe store. The shoe store is halfway between the music store and the bookstore. Prove that the distance between the entrances of the food court and music store is the same as the distance between the entrances of the shoe store and bookstore.

EXAMPLE 4

Solve a multi-step problem

Draw and label a diagram.

Draw separate diagrams to show mathematical relationships.

EXAMPLE 4

Solve a multi-step problem

SOLUTION

STEP 1

STEP 2

State what is given and what is to be proved for the situation.

STEP 3

Then write a proof.

GIVEN:

Bis the midpoint of AC.

Cis the midpoint of BD.

PROVE:

AB = CD

REASONS

STATEMENT

1.

1.

Bis the midpoint of AC.

Given

Cis the midpoint of BD.

ABBC

2.

2.

Definition of midpoint

3.

3.

BCCD

Definition of midpoint

EXAMPLE 4

Solve a multi-step problem

4.

Transitive Property of Congruence

ABCD

4.

5.

AB = CD

5.

Definition of congruent segments

EXAMPLE 4

Solve a multi-step problem

No; Because the critical factor is the midpoint