Bell Problem List the sides and angles in order from smallest to largest.

Slides:

Advertisements

Similar presentations

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

Advertisements

Lesson 5 – 6 Inequalities in Two Triangles

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.

Inequalities in One Triangle

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

Anna Chang T2. Angle-Side Relationships in Triangles The side that is opposite to the smallest angle will be always the shortest side and the side that.

5-7 Inequalities in Two Triangles

Triangle Inequalities

Math I Unit 3 Concept: Triangular Inequalities The Hinge Theorem.

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

5.7 Inequalities in Two Triangles

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.

Jeopardy Triangle Sides Triangle Inequality Hinge Theorem Converse of Hinge Theorem Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500.

5.6 Indirect Proof and Inequalities in Two triangles.

Honors Geometry Section 4.8 Triangle Inequalities

11/18/09 Do Now Have your homework out on your desk. Find all of the angle measures below.

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.

5-6 Inequalities in One Triangle

Inequalities in One Triangle

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 _______.

5.5 Inequalities in Triangles

Warm Up Lesson Presentation Lesson Quiz

Classify triangles by sides No congruent sides Scalene triangle At least two sides congruent Isosceles triangle Three congruent sides Equilateral triangle.

Chapter 6 Review. + DEFINITION OF INEQUALITY Difference in size, degree or congruence A B

 Earlier in this chapter, we looked at properties of individual triangles using inequalities.  We know that the largest angle is opposite the longest.

5.6 Inequalities in 2 Triangles

4.7 Triangle Inequalities. Theorem 4.10 If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than.

LEQ: How can use angle measures or side lengths to make conclusions in triangles?

4.7 Triangle Inequalities. In any triangle…  The LARGEST SIDE lies opposite the LARGEST ANGLE.  The SMALLEST SIDE lies opposite the SMALLEST ANGLE.

Thursday, November 8, 2012 Agenda: TISK & No MM Lesson 5-5: Triangle Inequalities Homework: 5-5 Worksheet.

Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.

Name the angles opposite of each side:  X is opposite of YZ  Y is opposite of XZ  Z is opposite of XY X Y Z.

5.5 Inequalities in Triangles DOM Can you figure out the puzzle below??? Domino.

5.7 Inequalities in Two Triangles

Triangle Inequalities. Triangle Inequality #1 Triangle Inequality 1(577031).ggb Triangle Inequality 1(577031).ggb This same relation applies to sides.

5.5 Inequalities in Triangles Learning Target I can use inequalities involving angles and sides in triangles.

Lesson 5.5 Inequalities Involving Two Triangles. SAS Inequality TheoremSSS Inequality Theorem (Hinge Theorem) - When 2 sides of a triangle are congruent.

5.6 Notes Inequalities in One Triangle. Comparison Property of Inequality.

Isosceles Triangles.

Write the if-then form, converse, inverse, and contrapositive of the given statement. 3x – 8 = 22 because x = 10. ANSWER Conditional: If x =

January Vocab Quiz on Sections Bell Ringer

Inequalities in two triangles

Indirect Proof and Inequalities in One Triangle

Inequalities in Two Triangles

5.6: Inequalities in Two Triangles and Indirect Proof

Inequalities in Two Triangles

Inequalities for Two Triangles

Converse of Hinge Theorem

Section 5.6 Inequalities in Two Triangles

BASIC GEOMETRY Section 5.6: Inequalities in 2 Triangles

5.5 Inequalities in One Triangle

Follow the directions and complete both sides of the activity

EXAMPLE 1 Use the Converse of the Hinge Theorem

6.5 & 6.6 Inequalities in One and Two Triangle

5-6 Inequalities in Two Triangles

Triangle Inequalities

6.5 & 6.6 Inequalities in One and Two Triangle

TRIANGLE INEQUALITY THEOREM

Use Inequalities in a Triangle

TRIANGLE INEQUALITY THEOREM

5.6 Inequalities in Two ∆s Mrs. vazquez Geometry.

TRIANGLE INEQUALITY THEOREM

5.4 Isosceles and Equilateral Triangles.

Inequalities in Two Triangles

Have your homework out when the bell rings.

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

Section 5-5 Inequalities in triangles

Inequalities in Two Triangles

Presentation transcript:

Bell Problem List the sides and angles in order from smallest to largest.

5.6 Inequalities in Two Triangles Standards: 1.Develop mathematical arguments and proofs 2.Use types of reasoning/methods of proof

Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angles of the second, then the third sides of the first is longer than the third side of the second.

Converse of the Hinge Theorem If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second.

Ex. Given that ST ≅ PR, how does <PST compare to <SPR?

Ex. Use the diagram. a.If PR = PS and m m<QPS, which is longer, SQ or RQ? a.If PR = PS and RQ < SQ, which is larger, <RPQ or <SPQ?

Ex. Copy and complete with, or =.

Ex. Write and solve an inequality to describe a restriction on the value of x.

Homework 5.6 Practice B worksheet