Sec 6-3 to 6-5Sec 6-3 to 6-5Concept: Use Similar PolygonsConcept: Use Similar Polygons

Objective: given 2 polygons, Objective: given 2 polygons, determine if they are similar and solve determine if they are similar and solve

problems as measured by a s.g.problems as measured by a s.g.

Look around the room, identify Look around the room, identify objects that are similarobjects that are similar

What does similar mean???

Example 1: Are the figures Similar?Example 1: Are the figures Similar?

If RSTUWXYZ List all pairs of corresponding congruent angles and write the ratios of the corresponding side.

Example 2 Example 2

So, What is a scale Factor?_______________

3 Short Cuts3 Short Cuts1. AATwo triangles are similar if two Two triangles are similar if two

angles of one triangles are congruent angles of one triangles are congruent to two angles of another triangle, to two angles of another triangle,

2. SSS Two triangles are similar if the corresponding side lengths of two triangles are proportional

3. SAS Two triangles are similar of an angles of one triangle is congruent to an angle of another triangle and the lengths of the sides including these angles are proportional.

Example 3 are the triangle similar?Example 3 are the triangle similar?

Example 4Example 4

Example 5 Example 5

Example 6Example 6

Today’s WorkToday’s Work