Vocabulary Hinge.

Slides:

Advertisements

Similar presentations

Learning Targets Prove and apply theorems about perpendicular bisectors. Prove and apply theorems about angle bisectors.

Advertisements

4-5 Warm Up Lesson Presentation Lesson Quiz

Flowchart and Paragraph Proofs

Example 1A: Compare mBAC and mDAC. Compare the side lengths in ∆ABC and ∆ADC. By the Converse of the Hinge Theorem, mBAC > mDAC. AB = AD AC = AC BC.

Lesson 5 – 6 Inequalities in Two Triangles

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

5-2 Use Perpendicular Bisectors Warm Up Lesson Presentation

5-6 Inequalities in Two Triangles

Objective Apply inequalities in two triangles..

Jeopardy Angle Side Relationships Converse of Hinge Theorem Misc. $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 Final Jeopardy Triangle Inequality.

Inequalities in Two Triangles

5-4 The Triangle Midsegment Theorem Warm Up Lesson Presentation

Inequalities for Sides and Angles of a Triangle

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

7-4 Parallel Lines and Proportional Parts

5-6 inequalities in two triangles

Lesson 5.6: Inequalities in One Triangle

Holt Geometry 5-6 Inequalities in Two Triangles 5-6 Inequalities in Two Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

Inequalities in Two Triangles

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

Inequalities in Two Triangles

Holt Geometry 5-1 The Triangle Midsegment Theorem 5-1 The Triangle Midsegment Theorem Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation.

2-6 Geometric Proof Warm Up Lesson Presentation Lesson Quiz

Inequalities in Two Triangles

Postulates Lesson 2.5.

January Vocab Quiz on Sections Bell Ringer

5-4 The Triangle Midsegment Theorem Section 5.4 Holt McDougal Geometry

Objective Apply inequalities in two triangles..

Inequalities in Two Triangles

Inequalities in Two Triangles

BASIC GEOMETRY Section 5.6: Inequalities in 2 Triangles

5.1: Midsegments of Triangles

Warm Up Use the points A(2, 2), B(12, 2) and C(4, 8) for Exercises 1–5. 1. Find X and Y, the midpoints of AC and CB. 2. Find the length of XY. 3. Find.

5-4 The Triangle Midsegment Theorem Warm Up Lesson Presentation

Midsegments of Triangles

Objective: Prove and use properties of triangle midsegments.

5-1 Midsegments of Triangles

Check It Out! Example 1 Write an indirect proof that a triangle cannot have two right angles. Step 1 Identify the conjecture to be proven. Given: A triangle’s.

Proportionality Theorems

5.7 Vocabulary CPCTC CPCTC is an abbreviation for the phrase “Corresponding Parts of Congruent Triangles are Congruent.” It can be used as a justification.

Vocabulary Equidistant Locus Perpendicular Bisector Angle Bisector

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

Lesson 2-8 Proof Review.

Recapping: Vector addition.

Inequalities in Two Triangles

Inequalities in Two Triangles

2-6 Geometric Proof Warm Up Lesson Presentation Lesson Quiz

5.3 Vocabulary included angle triangle rigidity

Holt McDougal Geometry 7-4 Applying Properties of Similar Triangles 7-4 Applying Properties of Similar Triangles Holt Geometry Warm Up Warm Up Lesson Presentation.

3-4: Vocabulary perpendicular bisector distance from a point to a line

Congruent Triangles Warm Up Lesson Presentation Class Practice 5-2

Inequalities in Two Triangles

Inequalities in Two Triangles

Proofs Section 4.8.

Inequalities in Two Triangles

Section 1.3 Measuring Segments

3-4: Vocabulary perpendicular bisector distance from a point to a line

5-1 Perpendicular and Angle Bisectors Warm Up Lesson Presentation

Objective Apply inequalities in two triangles..

Inequalities in Two Triangles

Class Greeting.

Inequalities in Two Triangles

1-3 Vocabulary coordinate plane midpoint segment bisector leg

Objectives Prove and apply theorems about perpendicular bisectors.

Warm Up 1. Write the angles in order from smallest to largest.

Learning Target I will apply inequalities in two triangles.

Vocabulary midsegment of a triangle

Five-Minute Check (over Lesson 5–5) Mathematical Practices Then/Now

Objective Prove and use properties of triangle midsegments.

Presentation transcript:

Vocabulary Hinge

Example 1A: Using the Hinge Theorem and Its Converse Compare mBAC and mDAC.

Example 1B: Using the Hinge Theorem and Its Converse Compare EF and FG.

Example 1C: Using the Hinge Theorem and Its Converse Find the range of values for k.

Example 3: Proving Triangle Relationships Write a two-column proof. Given: Prove: AD > CB

Check It Out! Example 3a Write a two-column proof. Given: C is the midpoint of BD. m1 = m2 m3 > m4 Prove: AB > ED

Check It Out! Example 3b Write a two-column proof. Given: SRT  STR TU > RU Prove: mTSU > mRSU

Lesson Quiz: Part I 1. Compare mABC and mDEF. 2. Compare PS and QR. mABC > mDEF PS < QR

Lesson Quiz: Part II 3. Find the range of values for z.

Lesson Quiz: Part III 4. Write a two-column proof. Given: Prove: mXYW < mZWY