Presentation is loading. Please wait.

Presentation is loading. Please wait.

7-5 Proportions in Triangles

Published byBryce Dean Modified over 6 years ago

Similar presentations

Presentation on theme: "7-5 Proportions in Triangles"— Presentation transcript:

1 7-5 Proportions in Triangles

2 Side-Splitter Theorems
Side-Splitter Theorem: If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally. Corollary to the Side-Splitter Theorem: If three parallel lines intersect two transversals, then the segments intercepted on the transversals are proportional.

3 Using the Side-Splitter Theorem
What is the value of x?

4  What is the value of a?

5 Finding a Length Three campsites are shown. What is the length of Site A along the river?  What is the length of Site C along the road?

6 Angle Bisectors Triangle Angle Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the other two sides of the triangle.

7 Using the Triangle Angle Bisector Theorem
What is the value of x?

8  What is the value of y?

Download ppt "7-5 Proportions in Triangles"

Similar presentations

8.6: Proportions and Similar Triangles

8.6: Proportions and Similar Triangles
Section 6 – 6 Use Proportionality Theorem. Theorems Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other.

Section 6 – 6 Use Proportionality Theorem. Theorems Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other.
Use Proportionality Themes

Use Proportionality Themes
Proportions in Triangles.

Proportions in Triangles.
Similarity Theorems.

Similarity Theorems.
OBJECTIVES: 1) TO USE THE SIDE-SPLITTER THEOREM 2) TO USE THE TRIANGLE- ANGLE BISECTOR THEOREM 8-5 Proportions in Triangles M11.C.1.

OBJECTIVES: 1) TO USE THE SIDE-SPLITTER THEOREM 2) TO USE THE TRIANGLE- ANGLE BISECTOR THEOREM 8-5 Proportions in Triangles M11.C.1.
Tuesday, January 15, 2013. §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.

Tuesday, January 15, §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.
Proportions in Triangles Chapter 7 Section 5. Objectives Students will use the Side-Splitter Theorem and the Triangle-Angle- Bisector Theorem.

Proportions in Triangles Chapter 7 Section 5. Objectives Students will use the Side-Splitter Theorem and the Triangle-Angle- Bisector Theorem.
Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.

Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.
“Is it better to be feared or respected? And I say, is it too much to ask for both?”

“Is it better to be feared or respected? And I say, is it too much to ask for both?”
Warm-Up What is the scale factor (or similarity ratio) of the following two triangles? 6 9 15 8 12 20.

Warm-Up What is the scale factor (or similarity ratio) of the following two triangles?
WARM UP: What similarity statement can you write relating the three triangles in the diagram? What is the geometric mean of 6 and 16? What are the values.

WARM UP: What similarity statement can you write relating the three triangles in the diagram? What is the geometric mean of 6 and 16? What are the values.
Chapter 7 Similarity.

Chapter 7 Similarity.
The product of the means equals the product of the extremes.

The product of the means equals the product of the extremes.
6.6 Proportionality Theorems Triangle Proportionality Theorem: A line // to one side of a triangle divides the other sides proportionally. Warning: This.

6.6 Proportionality Theorems Triangle Proportionality Theorem: A line // to one side of a triangle divides the other sides proportionally. Warning: This.
Warm-Up 1 In the diagram, DE is parallel to AC. Name a pair of similar triangles and explain why they are similar.

Warm-Up 1 In the diagram, DE is parallel to AC. Name a pair of similar triangles and explain why they are similar.
Geometry Section 6.6 Use Proportionality Theorems.

Geometry Section 6.6 Use Proportionality Theorems.
Warm Up 02.06.12 Week 6. Section 8.6 Day 1 I will use proportionality theorems to calculate segment lengths. Triangle Proportionality If a line parallel.

Warm Up Week 6. Section 8.6 Day 1 I will use proportionality theorems to calculate segment lengths. Triangle Proportionality If a line parallel.
6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.

6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.
Using Proportionality Theorems Section 6.6. Triangle Proportionality Theorem  A line parallel to one side of a triangle intersects the other two sides.

Using Proportionality Theorems Section 6.6. Triangle Proportionality Theorem  A line parallel to one side of a triangle intersects the other two sides.

Similar presentations

Ads by Google