Parallel Lines cut by a Transversal

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

The positions of the longest and shortest sides of a triangle are related to the positions of the largest and smallest angles.

TODAY IN GEOMETRY…  Learning Target: 5.5 You will find possible lengths for a triangle  Independent Practice  ALL HW due Today!

5-7 Inequalities in Two Triangles

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.

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.

Honors Geometry Section 4.8 Triangle Inequalities

5-6 Inequalities in One Triangle

Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.

Tuesday, January 15, §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.

Warm-Up What is the scale factor (or similarity ratio) of the following two triangles?

Honors Geometry Section 8.6 Proportions and Similar 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.

Lesson 5.4 The Triangle Inequality. Triangle Inequality Theorem The sum of the lengths of any two sides of a triangle is greater than the length of the.

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

Triangles and Lines – Angles and Lines When two lines intersect they create angles. Some special relationships occur when the lines have properties such.

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.

LESSON 5-5 INEQUALITIES IN TRIANGLES OBJECTIVE: To use inequalities involving angles and sides of triangles.

Geometry Section 5.5 Use Inequalities in a Triangle.

Triangle Inequality Theorem and Side Angle Relationship in Triangle

4.7 Triangle Inequalities

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 Use Inequalities in a Triangle. Theorem 5.10 A B C 8 5 IF AB > BC, THEN C > A The angle opposite the longest side is the largest angle; pattern.

Geometry Section 6.6 Use Proportionality Theorems.

Warm Up Week 6. Section 8.6 Day 1 I will use proportionality theorems to calculate segment lengths. Triangle Proportionality If a line parallel.

6.6 – Use Proportionality Theorems. Triangle Proportionality Theorem If a line parallel to one side of a triangle intersects the other two sides, then.

Using Proportionality Theorems Section 6.6. Triangle Proportionality Theorem  A line parallel to one side of a triangle intersects the other two sides.

Chapter 4-3 Inequalities in One Triangle Inequalities in Two Triangles.

3.2- Angles formed by parallel lines and transversals

Sect. 8.6 Proportions and Similar Triangles

Inequalities in two triangles

Applying Properties of Similar Triangles

Indirect Proof and Inequalities in One Triangle

Parallel lines Section 3-1.

Objectives Apply inequalities in one triangle..

Inequalities in Two Triangles

Review For Unit 2 – Quiz # 4 Triangle Inequality Theorem

Section 7-6 Proportional lengths.

5.5 Inequalities in One Triangle

7-4 Applying Properties of Similar Triangles

Triangle Inequalities

Triangle Inequalities

Theorems Involving Parallel Lines

3.2- Angles formed by parallel lines and transversals

3-2 Properties of Parallel Lines

LESSON 5-5 INEQUALITIES IN TRIANGLES OBJECTIVE: To use inequalities involving angles and sides of triangles.

Parallel Lines, Transversals, Base Angles & Exterior Angles

VOCABULARY (Definitions)

TRIANGLE INEQUALITY THEOREM

Triangle Theorems.

BASIC GEOMETRY Section 5: Inequalities in one Triangle

TRIANGLE INEQUALITY THEOREM

TRIANGLE INEQUALITY THEOREM

Triangle Inequalities

Inequalities in Triangles

5-6 Inequalities in ONE Triangle

Angle Relationships with Parallel Lines

Parallel Lines and Proportional Parts

Chapter 5 Parallelograms

Homework Due Friday & Comprehensive Test on Friday

5.2 Proving That Lines Are Parallel

Warmup! Use the figure at right to: 1. Name the set of parallel lines.

Homework Due Friday Study Island- Maintenance Sheet 25

Parallel Lines and Proportional Parts

Homework Due Friday Study Island- Maintenance Sheet 25

Triangle Relationships

Bellringer Can a triangle have the sides with the given lengths? Explain 8mm, 6mm, 3mm 5ft, 20ft, 7ft 3m, 5m, 8m.

Presentation transcript:

Parallel Lines cut by a Transversal Triangle Inequality Theorem Angles inside and outside triangles Auxiliary Lines Angle Side Relationships 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400

What value of x makes the two lines parallel?

What value of x makes the two lines parallel?

What value of x makes the two lines parallel?

What is the value of <h?

What is the value of <h?

Find the measure of <g.

Find the measure of <i.

What is the measure of the smallest angle?

What is the measure of <B? D B C What is the measure of <B?

What is the measure of <WUV?

What kind of triangle is TUV? ‘ ‘ ‘ What kind of triangle is TUV?

What is the smallest side of triangle GHI?

A. {7, 5, 4} B {2, 3, 6} For which set can the three numbers be the measures of the sides of a triangle? Why?

A. {5, 2, 4} B {2, 8, 1} For which set can the three numbers be the measures of the sides of a triangle? Why?

Name a third possible side that would create a triangle given the side lengths 5 and 9.