Similarity Lesson 1

Unit 5 Similarity

Lesson 1

TEK 7.5A and 7.5C

Learning Intention

• I intend for you to be able to......identify corresponding angles and sides in various shapes and orientations.

  
  

Success Criteria

• You can .......identify corresponding angles in two figures

• You can .......identify corresponding sides in two figures. 

• You can .......identify similar shapes compared to congruent shapes

Similar Figures

Similar figures have proportional corresponding sides and congruent corresponding angles

Poll

What does corresponding mean?

• Same position or place

• Same value

• Same size

• Same color

Multiple Select

On which field would the quarterback be behind the center?

• Mercedes-Benz Superdome in Louisiana

• Soldier Field in Illinois

• Bank of America Stadium in North Carolina

• Nissan Stadium in Tennessee

Corresponding

Same place or position

Ex. It does not matter which field a quarterback is on. The position of the quarterback corresponds to the same location regardless of the field they are on.

Multiple Choice

Congruent means "the same shape and same size". Which picture shows congruence?

In similar figures, the corresponding angles must be CONGRUENT

Multiple Choice

 $If\ \Delta ABC\ \sim\ \Delta DEF,\$   $Which\ angle\ corresponds\ with\ \angle A?$  

•  $\angle D$  

•  $\angle E$  

•  $\angle F$  

Multiple Choice

 $If\ WXYZ\ \sim\ ABCD,$   $Which\ \angle\ corresponds\ to\ \angle Y?$  

•  $\angle A$  

•  $\angle B$  

•  $\angle C$  

•  $\angle D$  

Did you notice that?....

Did you notice that the order of the letters can help you read the diagram?

 $\Delta ABC\ \sim\ \Delta XYZ\ means\ that\$   $\angle A\ corresponds\ to\ \angle X\ and\ that\$  
 $side\ AB\ corresponds\ with\ side\ XY$  

Multiple Select

Well, that is the end for today. We discussed corresponding sides and angles, congruent shapes, and what makes shapes similar.

Select the success criteria that you know you can do.

• I can identify corresponding angles in two figures

• I can identify corresponding sides in two figures.

• I can identify similar shapes vs. congruent shapes