Presentation is loading. Please wait.

Presentation is loading. Please wait.

Warm Up: List the angles and the sides in order from smallest to largest B A C.

Published byNiccolina Neri Modified over 5 years ago

Similar presentations

Presentation on theme: "Warm Up: List the angles and the sides in order from smallest to largest B A C."— Presentation transcript:

1 Warm Up: List the angles and the sides in order from smallest to largest
B A C

2 Look at the following Geometer’s Sketchpad Demonstration

3 Complete the following statements:
“The sum of any two sides of a triangle must be _________ than the third side” greater “The sum of the two smaller sides of a triangle must be ________ than the third side” greater

4 What are the possible values for x?

5 What are the possible values for x?

6 What are the possible values for x?

7 What are the possible values for x?

8 What are the possible values for x?

9 What are the possible values for x?

10 What are the possible values for x?

11 What are the possible values for x?

12 What are the possible values for x?

13 What are the possible values for x?

14 What are the possible values for x?

15 What are the possible values for x?

16 Can a triangle have the following side measures?

17 Can a triangle have the following side measures?

18 Can a triangle have the following side measures?

19 Can a triangle have the following side measures?

20 Can a triangle have the following side measures?

21 Can a triangle have the following side measures?

22 Can a triangle have the following side measures?

23 Can a triangle have the following side measures?

24 Can a triangle have the following side measures?

25 Can a triangle have the following side measures?

26 Homework: pg 636 #6 – 17 Worksheet

27 Centroid Theorem P is the centroid of triangle ABC B J K P A C L

Download ppt "Warm Up: List the angles and the sides in order from smallest to largest B A C."

Similar presentations

5.5 INEQUALITIES IN TRIANGLES (PART TWO). Think back…. What do we remember about the exterior angles of a triangle?

5.5 INEQUALITIES IN TRIANGLES (PART TWO). Think back…. What do we remember about the exterior angles of a triangle?
Section 5-5 Inequalities for One Triangle

Section 5-5 Inequalities for One Triangle
The positions of the longest and shortest sides of a triangle are related to the positions of the largest and smallest angles.

The positions of the longest and shortest sides of a triangle are related to the positions of the largest and smallest angles.
CHAPTER 6: Inequalities in Geometry

CHAPTER 6: Inequalities in Geometry
Use Inequalities in a Triangle Ch 5.5. What information can you find from knowing the angles of a triangle? And Vice Verca.

Use Inequalities in a Triangle Ch 5.5. What information can you find from knowing the angles of a triangle? And Vice Verca.
Triangle Inequality Theorem:

Triangle Inequality Theorem:
Warm-up: Find the missing side lengths and angle measures This triangle is an equilateral triangle 10 feet 25 feet This triangle is an isosceles triangle.

Warm-up: Find the missing side lengths and angle measures This triangle is an equilateral triangle 10 feet 25 feet This triangle is an isosceles triangle.
TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!

TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!
Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.

Triangle Inequality Theorems Sec 5.5 Goals: To determine the longest side and the largest angle of a triangle To use triangle inequality theorems.
Triangle Inequalities

Triangle Inequalities
The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem.

The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem.
Today – Wednesday, February 6, 2013  Review 6.3 Worksheet Problems  Learning Target 1: Use Angle-Angle Similarity Theorem to prove two triangles are.

Today – Wednesday, February 6, 2013  Review 6.3 Worksheet Problems  Learning Target 1: Use Angle-Angle Similarity Theorem to prove two triangles are.
Honors Geometry Section 4.8 Triangle Inequalities

Honors Geometry Section 4.8 Triangle Inequalities
A B C 12 We know ∠B = ∠C S TU 1214 We could write a proof to show ∠T ≠∠U *We could also prove that m ∠T > m ∠U, BUT theorem 1 tells us that!

A B C 12 We know ∠B = ∠C S TU 1214 We could write a proof to show ∠T ≠∠U *We could also prove that m ∠T > m ∠U, BUT theorem 1 tells us that!
Triangle Inequality Theorem.  The sum of the two shorter sides of any triangle must be greater than the third side. Example: 3 + 5 > 7 8 > 7 Yes!

Triangle Inequality Theorem.  The sum of the two shorter sides of any triangle must be greater than the third side. Example: > 7 8 > 7 Yes!
Bell Problem Find the value of x.. 5.5 Use Inequalities in a Triangle Standards: 1.Analyze properties of 2-D shapes 2.Understand how mathematical ideas.

Bell Problem Find the value of x Use Inequalities in a Triangle Standards: 1.Analyze properties of 2-D shapes 2.Understand how mathematical ideas.
Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.

Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.
3.3 Triangle Inequality Conjecture. How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?

3.3 Triangle Inequality Conjecture. How long does each side of the drawbridge need to be so that the bridge spans the river when both sides come down?
9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.

9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.
5.5Use Inequalities in a Triangle Theorem 5.10: If one side of a triangle is longer than the other side, then the angle opposite the longest side is _______.

5.5Use Inequalities in a Triangle Theorem 5.10: If one side of a triangle is longer than the other side, then the angle opposite the longest side is _______.

Similar presentations

Ads by Google