7-5 Proportions in Triangles

Slides:



Advertisements
Similar presentations
Honors Geometry Section 8. 5
Advertisements

Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.
8.6: Proportions and Similar Triangles
Chapter 5 Properties of Triangles Perpendicular and Angle Bisectors Sec 5.1 Goal: To use properties of perpendicular bisectors and angle bisectors.
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.
The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
Lesson 56: Special Right Triangles
Over Lesson 7–3 Determine whether the triangles are similar. Justify your answer. Determine whether the triangles are similar. Justify your answer. Determine.
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.
Triangles Review.
Proportions in Triangles Chapter 7 Section 5. Objectives Students will use the Side-Splitter Theorem and the Triangle-Angle- Bisector Theorem.
Parallel Lines and Proportional Parts
Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.
Geometry 6.3 Big Idea: Use Similar Polygons
Warm-Up What is the scale factor (or similarity ratio) of the following two triangles?
Honors Geometry Section 8.6 Proportions and Similar Triangles.
Bisectors in Triangles Section 5-2. Perpendicular Bisector A perpendicular tells us two things – It creates a 90 angle with the segment it intersects.
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.
5.6 Angle Bisectors and Perpendicular Bisectors
4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.
Warm-Up 1 In the diagram, DE is parallel to AC. Name a pair of similar triangles and explain why they are similar.
Using Proportionality Theorems Section 6.6. Triangle Proportionality Theorem  A line parallel to one side of a triangle intersects the other two sides.
Isosceles Triangles Theorems Theorem 8.12 – If two sides of a triangle are equal in measure, then the angles opposite those sides are equal in measure.
5.2: Bisectors in Triangles Objectives: To use properties of perpendicular and angle bisectors.
10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.
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.
7-4: Proportions in Triangles Rigor: apply the side-splitter theorem and the triangle-angle-bisector theorem. Relevance: ground planning.
Get your journal What did one pencil say to the other pencil?
Chapter 8 mini unit. Learning Target I can use proportions to find missing values of similar triangles.
Isosceles Triangles.
7-5 Proportions in Triangles
7.4 Showing Triangles are Similar: SSS and SAS
Warm-up Solve for x x x-3 4 x+6 x+1 x
Similarity Postulates
Use Angle Bisectors of Triangles
Applying Properties of Similar Triangles
Proportional Lengths Unit 6: Section 7.6.
3.7 Angle-Side Theorems Objective:
Section 7-6 Proportional lengths.
Section 8.6 Proportions and Similar Triangles
8.5 Proportions in Triangles
Math 2 Side Splitter & Angle Bisector Theorems
Bisectors in Triangles
7-5 Proportions in Triangles
Triangles Review.
Notes Over Pythagorean Theorem
7-3 Similar Triangles.
7-4 Applying Properties of Similar Triangles
Working with Ratio Segments part 2
8.5 Three Theorems Involving Proportion
Proportionality Theorems
Chapter 8 Lesson 5 Objective: To use the Side-Splitter and Triangle –Angle Bisector Theorems.
Bell work:.
TRIANGLE INEQUALITY THEOREM
Corresponding Parts of Similar Triangles
LT 7.5 Apply Properties of Similar Triangles
JEOPARDY.
Module 15: Lesson 5 Angle Bisectors of Triangles
7-4: Proportions in Triangles
TRIANGLE INEQUALITY THEOREM
TRIANGLE INEQUALITY THEOREM
Proportions in Triangles
Unit 9. Day 17..
7-4: Proportions in Triangles
Pythagoras’ Theorem.
6.6 – Use Proportionality Theorems
10-1 The Pythagorean Theorem
Module 16: Lesson 4 AA Similarity of Triangles
Presentation transcript:

7-5 Proportions in Triangles

Problem 1: Using the Side-Splitter Theorem What is the value of x in the diagram?

What is the value of a in the diagram?

Problem 2: Finding a Length Three campsites are shown in the diagram. What is the length of Site A along the river?

Three campsites are shown in the diagram Three campsites are shown in the diagram. What is the length of Site C along the Road?

Problem 3: Using the Triangle-Angle-Bisector Theorem What is the value of x in the diagram?

What is the value of y in the diagram?