7-2 Similar Polygons Objectives Students will be able to:

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Presentation transcript:

7-2 Similar Polygons Objectives Students will be able to: Identify similar polygons Apply similar polygons

Congruent Polygons Remember back to when we examined congruent polygons. Congruent polygons are polygons that have corresponding angles congruent and corresponding sides congruent.

Congruent Triangles? Look at these triangles… Are they congruent? If yes, how do you know? If no, might some other relationship exist between them?

Similar Polygons Similar polygons: polygons having corresponding angles congruent and corresponding sides proportional c. d.

Are these Triangles Similar?

Examples… Determine whether the triangles are similar. If they are write a similarity statement and give the similarity ratio.

Examples Determine whether the triangles are similar. If they are write a similarity statement and give the similarity ratio.

Example 2: Solve for x

You try. Find the value of x.

Extra Practice! Are the Polygons Similar? If so Write a Similarity Statement and give the Scale Factor. If not explain!

Extra Practice! Are the Polygons Similar? If so Write a Similarity Statement and give the Scale Factor. If not explain!

Extra Practice! Are the Polygons Similar? If so Write a Similarity Statement and give the Scale Factor. If not explain!

Fun with Proportions! The polygons are Similar. Find the value of each Variable

APPLY CONCEPTS! Are all Circles Similar? Explain…

CREATE! Draw two polygons in a 2:1 ratio that are NOT Similar!