3.3—Inequalities in One Triangle

Slides:



Advertisements
Similar presentations
GEOMETRY 4-6 Triangle Inequalities Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.
Advertisements

CH 4.7 USE ISOSCELES AND EQUILATERAL TRIANGLES. In this section… We will use the facts that we know about isosceles and equilateral triangles to solve.
Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem.
The Hinge Theorem Sec 5.6 Goal: To use the hinge theorem.
1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the.
5-5 Indirect Proof and Inequalities in One Triangle Warm Up
Honors Geometry Section 4.8 Triangle Inequalities
Lesson 3-2: Isosceles Triangle
Mrs. McConaughyGeometry1 Isosceles and Equilateral Triangles Objective: To use and apply properties of isosceles triangles.
4.5 Even Answers.
Isosceles Triangles Section 4.3.
4-6 Isosceles & Equilateral Triangles
Honors Geometry Section 4.4 Isosceles Triangle Theorem
4-5 Isosceles and Equilateral Triangles
11/18/09 Do Now Have your homework out on your desk. Find all of the angle measures below.
 Earlier in this chapter, we looked at properties of individual triangles using inequalities.  We know that the largest angle is opposite the longest.
Holt Geometry 5-5 Inequalities in One Triangle 5-5 Inequalities in One Triangle Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson.
Daily Warm-Up Quiz #2 CONJECTURES: Complete each conjecture below. (2 TOTAL POINTS; ½ POINT EACH) 1. If two angles are a linear pair of angles, then the.
Triangle Sum Theorem The sum of the angle measures in a triangle is 180 degrees.
Chapter 4 Section 4.1 Section 4.2 Section 4.3. Section 4.1 Angle Sum Conjecture The sum of the interior angles of a triangle add to 180.
Warm Up Types of Triangle Chapter 3.6 Objective- name the various types of triangles and their parts.
4.3 ISOSCELES AND EQUILATERAL TRIANGLES. VOCABULARY Two angles of an isosceles triangle are always congruent. These are the angles opposite the congruent.
D B A C 3.2—Isosceles and Equilateral Triangles. Objective: Use properties of _______________, and ________________triangles. equilateral Vocabulary:
Isosceles Triangle Theorem (Base Angles Theorem)
Triangle Congruence 4.5 Isosceles and Equilateral Triangles.
Geometry Section 5.5 Use Inequalities in a Triangle.
4.7 Triangle Inequalities
Unit 4: Triangle Congruence 4.8 Isosceles and Equilateral Triangles (Part 2)
Holt Geometry 5-5 Indirect Proof and Inequalities in One Triangle 5-5 Indirect Proof and Inequalities in One Triangle Holt Geometry.
By, Mrs. Muller.  If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent
Triangles.
Solving for Missing angles in Triangles
Classify the triangle by its angles and by its sides.
Objectives: Use properties of isosceles and equilateral triangles
4-5 Isosceles and Equilateral Triangles
Warm Up [On back counter]
Use isosceles and equilateral triangles
Isosceles Triangles.
Lesson 3-2: Isosceles Triangle
Date: Topic: Isosceles Triangle Theorem (6.1.C)
Inequalities in two triangles
Date: Topic: Similar Polygons (7.4)
Objective: Use the law of sine. (SSA)
Triangles.
Inequalities in Two Triangles
Lesson 4.6 Isosceles Triangles.
Isosceles & Equilateral Triangles
Isosceles Triangles Section 4.3.
Warm-up Classify each angle: Solve for x.
EOC Prep: Triangles.
Section Name: CPCTC Proofs
Warm-up Find x a) b).
TRIANGLE INEQUALITIES
7.2 Isosceles and Equilateral Triangles
Try This… Measure (using your ruler), three segments 2 inches
Warm Up Solve for x. x x + 1 = 90 4x + 2 = 90 4x = 88 x = 22.
5.5 Inequalities in Triangles
Use isosceles and equilateral triangles
Base Angles & Exterior Angles
Types of Triangles Thursday, 11 April 2019.
Types of Triangles Thursday, 11 April 2019.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Isosceles Triangles. Isosceles Triangles Base Angles If 2 angles in a triangle are congruent, then the sides opposite them are congruent.
Triangles Teacher Twins©2014.
Triangles Teacher Twins©2014.
List the angles and sides from smallest to largest
Equilateral TRIANGLES
Lesson 3-2 Isosceles Triangles.
Lesson 3-2 Isosceles Triangles.
Triangle Relationships
Presentation transcript:

3.3—Inequalities in One Triangle Warm Up 1. Write a conditional from the sentence “An isosceles triangle has two congruent sides.” 2. Show that the conjecture “If x > 6, then 2x > 14” is false by finding a counterexample. 3. Solve the inequality. 3𝑥−5≥10

3.3—Inequalities in One Triangle Objective: Use __________ measurements to decide which side is ____________ or which angle is ______________. Use the Triangle __________________ Property. triangle longest largest Inequality

Examples:

Examples: