Section 21.3: HL Triangle Congruence

Slides:

Advertisements

Similar presentations

4-4 Using Congruent Triangles: CPCTC

Advertisements

4.6 Congruence in Right Triangles

7-5 The SSA Condition and HL Congruence

Hypotenuse – Leg Congruence Theorem: HL

4-6 Congruence in Right Triangles

4.6: Congruence in Right Triangles

Isosceles, Equilateral, and Right Triangles Sec 4.6 GOAL: To use properties of isosceles, equilateral and right triangles To use RHL Congruence Theorem.

Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.

4-6 Congruence in Right Triangles M.11.C B

Proving Triangles Congruent

Congruence in Right Triangles

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.

Chapter 4: Triangle Congruence Missy McCarthy Okemos High School Math Instructor.

Congruence in Right Triangles Chapter 4 Section 6.

4.6 Congruence in Right Triangles In a right triangle: – The side opposite the right angle is called the hypotenuse. It is the longest side of the triangle.

Objective: After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.

5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

Proving Triangles are Congruent: SSS and SAS Sec 4.3

4.6 Congruence in Right Triangles To Prove Triangles Congruent using the Hypotenuse Leg Theorem.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

Warm-Up Are the 2 triangle congruent? If so, write the theorem or postulate that proves them congruent. Write a congruency statement. A D C B.

Warm Up 1.) Find the measure of the exterior angle.

Prove triangles congruent by ASA and AAS

4-2 Triangle Congruence by SSS and SAS

Proving Triangles Congruent

4.6: Triangle congruence ASA, AAS, & HL.

Similarity Postulates

Right Triangles What are the additional congruence theorems used only for right triangles? Which combination of sides for triangles in general cannot.

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

Section 18.3: Special Right Triangles

Section 14.4: Perpendicular Lines

Section 21.2: AAS Triangle Congruence

Section 13.3: Solving Absolute Value Equations

Section 11.2: Solving Linear Systems by Substitution

4-2 Some Ways to Prove Triangles Congruent (p. 122)

Section 24.1: Properties of Parallelograms

Section 15.6: Properties of Parallelograms

Section 24.3: Properties of Rectangles, Rhombuses, and Squares

Section 13.1: Understanding Piecewise-Defined Functions

Section 20.1: Exploring What Makes Triangles Congruent

Section 17.3: Rotations.

Section 20.2: ASA Triangle Congruence

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 24.4: Conditions for Rectangles, Rhombuses, and Squares

Section 2.2: Solving Absolute Value Equations

Section 20.4: SSS Triangle Congruence

Objective(s): By following instructions, students will be able to: Discover that the corresponding parts of congruent figures are congruent.

Congruence and Triangles

Get out your Module 4 quiz and

Learn to use the ASA and AAS tests for congruence.

5.2 ASA Triangle Congruence

4-6 Congruence in Right Triangles

Prove Triangles Congruent by SAS

Section 18.2: Proving Figures are Congruent Using Rigid Motions

DRILL Given: Prove: B C A D.

(AAS) Angle-Angle-Side Congruence Theorem

4.6 Congruence in Right Triangles

Section 12.2: Graphing Systems of LInear Inequalities

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

Chapter 4: Triangle Congruence

4.5 Proving Triangles are Congruent: ASA and AAS

Advanced Geometry Section 3.8 The HL Postulate

4-2 Triangle congruence by sss & sas

Presentation transcript:

Section 21.3: HL Triangle Congruence

Objective: By following instructions, students will be able to: Use the HL Triangle Congruence Theorem.

RECALL: If sides are congruent and angles are congruent, then triangles are congruent.

HL Congruence Theorem

explain 1

Your-Turn #1

explain 2A Use the HL Congruence Theorem to prove that the triangles are congruent.

explain 2B Use the HL Congruence Theorem to prove that the triangles are congruent.

Your-Turn #2 Use the HL Congruence Theorem to prove that the triangles are congruent.

Revisit Objective: Did we… Use the HL Triangle Congruence Theorem?

HW: Sec 21.3 pg 862 #s 2-15