Name:          Date:          School:          Facilitator:          

2.03 Similar PolygonsThe figures below are similar.  List all pairs of congruent angles and write the statement of proportionality for the figures.

1. LMNO and PQRS are similar.

All congruent angles:∠          ≅∠          ∠          ≅∠          ∠          ≅∠          ∠         ≅∠         Statement of Proportionality

         =

         =

         =

                                                

2. EFGHI and JKLMN are similar.

All congruent angles:∠          ≅∠          ∠          ≅∠          ∠          ≅∠          ∠         ≅∠          ∠         ≅∠         Statement of Proportionality

         =

         =

         =

         =

                                                          

Determine whether the polygons are similar or not.  If they are similar, write a similarity statement.  If they are not similar, write an explanation why.

3.

If the polygons are similar, write the similarity statement here:          ~          

If the polygons are not similar, explain why here:         

4.

If the polygons are similar, write the similar statement here:          ~          

If the polygons are not similar, explain why here:         

**continued on the next page**

Calculate each of the following using the given figures.

5. RSTU and MNOP are similar.

Determine the scale factor of RSTU to MNOP. Write your answer as a fraction.         

=         

                   

Determine the scale factor of MNOP to RSTU. Write your answer as a fraction.         

=         

                   

Determine the value of x. x =          Show work here:

Determine the value of y. y =           °Show work here:

6. JKLM and PQRS are similar.

Determine the scale factor of JKLM to PQRS. Write your answer as a fraction.         

=         

                   

Determine the scale factor of PQRS to JKLM. Write your answer as a fraction.         

=         

                   

Determine the value of x. x =          Show work here:

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