Working with Ratio Segments part 2

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8. 5
Advertisements

Section 6 – 6 Use Proportionality Theorem. Theorems Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other.
Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles.
Proving the Midsegment of a Triangle Adapted from Walch Education.
Bisecting Segments and Angles
Adapted from Walch Education Isosceles triangles have at least two congruent sides, called legs. The angle created by the intersection of the legs is.
4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.
OBJECTIVES: 1) TO USE THE SIDE-SPLITTER THEOREM 2) TO USE THE TRIANGLE- ANGLE BISECTOR THEOREM 8-5 Proportions in Triangles M11.C.1.
Working with Ratio Segments PART 1 ~adapted from Walch Education.
Tuesday, January 15, §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.
Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.
DEFINING SIMILARITY ~ADAPTED FROM WALCH EDUCATION.
Warm-Up What is the scale factor (or similarity ratio) of the following two triangles?
Proportional Parts of a Triangle Proportional Perimeters Theorem If two triangles are similar, then the perimeters are proportional to the measures of.
Bisectors in Triangles Section 5-2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects.
The product of the means equals the product of the extremes.
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.
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.
Section 7-5 Proportions in Triangles Objectives: Use Side-splitter Theorem and the Triangle-Angle- Bisector Theorem.
Geometry warm ups. 7-5 PROPORTIONS IN TRIANGLES Side-Splitter Theorem When two or more parallel lines intersect other lines, proportional segments are.
Geometry/Trig 2Name: __________________________ Unit 6 GSP Explorations & NotesDate: ___________________________ Section 7-6 TAB 1 Example 1: Solve for.
Geometry 6.3 Keep It in Proportion.
Chapter 7: Similarity 7.5 Proportions in Triangles.
Chapter 8 Lesson 5 Objective: To use the Side-Splitter and Triangle – Angle Bisector Theorems.
Chapter 8 mini unit. Learning Target I can use proportions to find missing values of similar triangles.
7-5 Proportions in Triangles
7-5 Proportions in Triangles
Triangle Proportionality
Sect. 8.6 Proportions and Similar Triangles
4.3 Warm Up Are the triangles similar? If so, which theorem justifies your answer.
Applying Properties of Similar Triangles
Proportional Lengths Unit 6: Section 7.6.
Similarity Theorems.
Section 7-6 Proportional lengths.
Section 8.6 Proportions and Similar Triangles
8.5 Proportions in Triangles
7-5: Parts of Similar Triangles
Lesson 5-4: Proportional Parts
Section 5.6 Segments Divided Proportionately
Section 5.6 Segments Divided Proportionately
4.2: The Parallelogram and the Kite Theorems on Parallelograms
PARALLEL LINES AND PROPORTIONAL PARTS
7-4 Applying Properties of Similar Triangles
Lesson 5-4 Proportional Parts.
Chapter 7 Lesson 5: Parts of Similar Triangles
Applying Similarty Using the Angle-angle (AA) criterions
8.5 Three Theorems Involving Proportion
Proportions and Similar Triangles
4.2: The Parallelogram and the Kite Theorems on Parallelograms
Introduction Archaeologists, among others, rely on the Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS) similarity statements to determine.
Chapter 8 Lesson 5 Objective: To use the Side-Splitter and Triangle –Angle Bisector Theorems.
Three Theorems Involving Proportions
Explaining SAS, ASA, and SSS
Corresponding Parts of Similar Triangles
LT 7.5 Apply Properties of Similar Triangles
Module 15: Lesson 5 Angle Bisectors of Triangles
Triangle Midsegment Theorem – The segment joining the midpoints of any two sides will be parallel to the third side and half its length. If E and D are.
Lesson 7-4 Proportional Parts.
7-4: Proportions in Triangles
Proportions in Triangles
Introduction Archaeologists, among others, rely on the Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS) similarity statements to determine.
7-4: Proportions in Triangles
Parallel Lines and Proportional Parts
4/26 Half Day.
Using Coordinates to Prove Geometric Theorems with Slope and Distance
Adapted from Walch Education
Lesson 5-4: Proportional Parts
8.6 Proportion and Similar Triangles
Presentation transcript:

Working with Ratio Segments part 2 ~ adapted from Walch Education

Triangle Angle Bisector Theorem If one angle of a triangle is bisected, or cut in half, then the angle bisector of the triangle divides the opposite side of the triangle into two segments that are proportional to the other two sides of the triangle. THEREFORE:

Practice # 1 Find the length of

Find the length of x = 8.25 Use the Triangle Proportionality Theorem

One more… Practice # 2 Is ?

Thanks for Watching! ~Ms. Dambreville