Download presentation

Presentation is loading. Please wait.

1
**Proportions and Similar Triangles**

8.6

2
**Theorem 8.4 Triangle Proportionality Theorem**

If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

3
**Converse of the Triangle Proportionality Theorem**

If a line divides two sides of a triangle proportionally, then it is parallel to the third side.

4
Example 1 4 8 12 In the diagram ll , BD=8,DC=4, and AE=12. What is the length of ?

5
Example 2 Given the diagram, determine whether ll . 21 56 16 48

6
Find x. 36x = 840 x = 23⅓

7
Find x. 2(x + 6) = 5x 2x + 12 = 5x -2x x 12 = 3x 4 = x

8
**Find x. 2.5(8 – x) = 3.5x 20 – 2.5x = 3.5x +2.5x +2.5x 20 = 6x 6 6**

3⅓ = x

9
Find x. 7 x 3x = 31.5 3 4.5 x = 10.5

10
**Find x. 6(x + 5) = 10x 6x + 30 = 10x -6x -6x 30 = 4x 4 4 7.5 = x x 6**

7.5 = x

11
Find x. 12.8x = 115.2 x = 9

12
Find x. 24x = 240 x = 10 in.

13
Find x. 12x = 72 x = 6 ft.

14
Theorem 8.6 If three parallel lines intersect two transversals, then they divide the transversals proportionally.

15
Example

16
Theorem 8.7 If a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the two sides.

17
Example 14-x x

Similar presentations

OK

Math 310 Section 10.4 Similarity. Similar Triangles Def ΔABC is similar to ΔDEF, written ΔABC ~ ΔDEF, iff

Math 310 Section 10.4 Similarity. Similar Triangles Def ΔABC is similar to ΔDEF, written ΔABC ~ ΔDEF, iff

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google

Ppt on rc coupled amplifier definition Ppt on climate change Ppt on current changes in information technology Change pptx to ppt online free Ppt on monopoly market structure Ppt on two point perspective worksheet Ppt on direct and indirect speech in english grammar Ppt on first conditional and second Convert pdf to ppt online download Ppt on spices industry