Parts of Similar Triangles: 65

1
Parts of Similar Triangles 6-5

• Recognize and use proportional relationships of
  similar triangles.

2
Theorem 6-7

• Proportional Perimeters Theorem
• If 2 triangles are similar then the perimeters
  are proportional to the measures of corresponding
  sides.
• See Example 1 in book page 316 for example of the
  theorem in use.

3
Theorem 6-7

• If 2 triangles are similar, then the measures of
  the corresponding altitudes are proportional to
  the measures of the corresponding sides.
• See problem 5 page 319.

4
Theorem 6-9

• If 2 triangles are similar then the measures of
  the corresponding angle bisectors of the
  triangles are proportional to the measures of the
  corresponding sides.
• Problem 7 on page 319 is an example.

5
Theorem 6-10

• If 2 triangles are similar, then the measures of
  the corresponding medians are proportional to the
  measures of the corresponding sides.
• Problem 6 on page 319 is an example.

6
Theorem 6-11Angle bisector theorem

• An angle bisector in a triangle separates the
  opposite side into segments that have the same
  ratio as the other 2 sides.
• See number 23 page 321.

7
Class/Homework