6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar...

15
6.3 Similar Triangles Notes 1 Warm up 1. The ratio of two complementary angles is 7:8. What is the measure of each angle? 2. Solve the proportion x =3 x+2 5 3. The ratio of the length to the width of a field is 10:3. If the perimeter is 2630m, find the dimensions of the field. 4. If the ratio AB:BC is 4:5, find BC A B C 24 3x3

Transcript of 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar...

Page 1: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

1

Warm up1.  The ratio of two complementary angles is 7:8.  What is the measure of each angle?

2.  Solve the proportion    x     =  3                                        x+2       5

3.  The ratio of the length to the width of a field is 10:3.  If the perimeter is 2630m, find the dimensions of the field.

4.  If the ratio AB:BC is 4:5, find BC A

B

C

24 3x­3

Page 2: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

2

6.3 Use Similar Polygons

Objectives• Students will use proportions to identify similar polygons• Students will identify corresponding parts of similar polygons• Students will find and use scale factors of similar polygons• Students will explain how to solve proportion problems to eachother.

Page 3: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

3

Similar Polygons:  

Corresponding Angles Corresponding Sides

Page 4: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

4

Page 5: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

5

Page 6: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

6

Page 7: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

7

Page 8: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

8

Page 9: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

9

The ratio of perimeters is the same as the scale factor.

The ratio of the areas is equal to the scale factor squared.

106

106

What is the scale factor?

What is the ratio of the perimeters?

What is the ratio of the areas?

Page 10: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

10

Page 11: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

11

Page 12: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

12

Page 13: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

13

Page 14: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

14

Classwork

Page 15: 6.3 Similar Triangles Notes - Washington-Lee · 6.3 Similar Triangles Notes 2 6.3 Use Similar Polygons Objectives •Students will use proportions to identify similar polygons •Students

6.3 Similar Triangles Notes

15