Upload File

to prove triangles congruent using the hl theorem students will use ssa to prove right triangles...

  • Home
  • Documents
  • To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
17

Upload: albert-owens

Post on 13-Dec-2015

275 views

Category:

Documents


0 download

Report

Tags:

TRANSCRIPT

Page 1: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 2: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

To prove triangles congruent using the HL Theorem

Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles to find why SSA is not a universal rule.

Page 3: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 4: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 5: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 6: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 7: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 8: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 9: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles
Page 10: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

Statements Reasons

1. , Given2. Definition of 3. Definition of 4. HL

Page 11: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

4-6 Quiz

The following questions are designed to help you determine if you understood today’s lesson

Please record the number you get right on your portfolio sheet

If you do not understand why you missed one of the problems make sure you find time to come and ask me!

Page 12: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

1. For which situation could you prove ∆1 ∆2 using the Hypotenuse-Leg Theorem?

A. I onlyB. II onlyC. III onlyD. II and III

Page 13: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

2. Is there enough information to conclude that the two triangles are congruent? If so, what is a correct congruence statement?

A

CB D

| |

A. Yes; ∆CAB ∆DACB. Yes; ∆ACB ∆ACDC. Yes; ∆ABC ∆ACDD. No, the triangles

cannot be proven

congruent.

Page 14: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

3. What additional information will allow you to prove the triangles congruent by the HL Theorem?

A

E

B

D

C

|

|

.A A EB. mBCE = 90C. AC DCD. AC BD

Page 15: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

4. is perpendicular to at B between A and D. ∠DAC ≌ ∠ADC. By which of the five congruence statements, HL, AAS, ASA, SAS, and SSS, can you conclude ΔABC ≌ΔDBC?

A. HL, AAS, ASA, and SASB. HL, AAS, and ASAC. HL and ASAD. HL, AAS, ASA, SAS, and

SSS

Page 16: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

5. Is ∆PQS ∆RQS by HL? If so, name the legs that allow the use of HL.

P

Q

R

S

A. SQ PRB. PS RSC. PQ RQD. SQ SQ

Page 17: To prove triangles congruent using the HL Theorem Students will use SSA to prove right triangles congruent and will use counterexamples of non-right triangles

Assignment

4-6 p. 262 – 263 #8-24 even

Then rate your assignment 4-3-2-1-0 as to how well you

understood the lesson and write why you rated yourself that way.


4.3 Proving Triangles Congruent: SSS and SAS GOAL: PROVE THAT TRIANGLES ARE CONGRUENT USING THE SSS AND SAS CONGRUENCE POSTULATES. Activities: 1.Open SSS

4.9 What Is Left To Prove? Pg. 30 Parts of Congruent Triangles

4.4 Prove Triangles Congruent by SSS You will use the side lengths to prove triangles are congruent. Essential Question: How can you use side lengths to

4.5 Prove Triangles Congruent by ASA and AASdparrishcolumbia.weebly.com/uploads/1/3/4/0/13407616/...4.5 Prove Triangles Congruent by ASA and AAS 253 7. MULTIPLE CHOICE Which postulate

leearlington.weebly.com · CPCTC which stands for "Congruent Parts of Congruent Triangles are Congruent," to prove that certain parts of triangles are congruent. Ex. c 2.9 4.5 686

4.4 Prove Triangles Congruent by SSS

4-3 Congruent Triangles You identified and used congruent angles. Name and use corresponding parts of congruent polygons. Prove triangles congruent using

Prove Triangles Similar by AA 6.4. Another Postulate All you need are any 2 congruent angles for 2 triangles to be congruent

Unit 6 - Congruent Triangles Congruent Triangles …content.njctl.org/courses/math/geometry-2015-16/... ·  · 2015-10-02Unit 6 - Congruent Triangles Congruent Triangles ... 3. 4

4.3 & 4.4 prove triangles congruent by sss, sas, and hl

4.5 Prove Triangles are Congruent by ASA and AAS · 4.5 Prove Triangles are Congruent by ASA and AAS. Geometry 4.5 Notes.notebook 2 November 03, 2017. Geometry 4.5 Notes.notebook

4.5 prove triangles congruent by asa and aas

Objectives Congruent Not Congruent - … 8.2 Prove Triangles Congruent by SSS Lesson 4.3 from ... (SAS) and Hypotenuse-Leg (HL) ... Lesson 8.4 Prove Triangles Congruent by ASA and

nelmsmath.weebly.com · Triangle Congruence and VIEW NAME: ... ASA, AAS, and HL. (proofs involving congruent triangles packet) I can prove that corresponding parts of congruent triangles

4.5 – Prove Triangles Congruent by ASA and AAS

Big Idea: Prove Triangles are Congruent by SAS and HL

Congruent Triangles - Amazon S3 · Identify congruent triangles ... you will prove three additional theorems about the congruence of right triangles: Angle-Leg, Leg-Leg, and Hypotenuse-Angle

Congruent Triangles: Review for Test - Answers · Determine if you can use SSS, SAS, ASA, AAS, and HL to prove triangles congruent. If not, say no. Identifying Additional Congruent

Chapter 4 Congruent Triangles Identify the corresponding parts of congruent figures Prove two triangles are congruent Apply the theorems and corollaries

Loudoun County Public Schools...4.3-4.5 Prove Triangles congruent Objective. Proving triangles congruent by triangle congruence theorems Side-Side-Side (SSS) Congruence Postulate If

Aim: How to prove triangles are congruent using a 4 th shortcut: AAS

7.srochester.weebly.com/.../s17_math_2_review_sample_… · Web viewTwo triangles are congruent when all _____ and all _____ are congruent. We can prove that two triangles are congruent

 · 4-2 and 4-3 Objectives V To prove two triangles congruent using the SSS and SAS Postulates V YO prove two triangles congruent using the ASA Postulate and the

Congruent Triangles Example 1 Today’s Objectivepierrephs.weebly.com/.../3/0/4/1/30416280/3c.notes-congruent_trian… · Congruent Triangles Today’s Objective SWBAT prove triangles

MA.912.G.4.6: Prove that triangles are congruent or similar and use the concept of corresponding parts of congruent triangles Mary is asked to prove that

Section 3.2 Three Ways to Prove Triangles Congruent

Use CPCTC to prove parts of triangles are congruent

Congruent Triangles; Triangles; G...Congruent Triangles Reporting Category Triangles Topic Exploring congruent triangles, using constructions, proofs, and coordinate methods Primary

Geometry - Birmingham City Schools 4.4 Prove Triangles Congruent by SSS pp 232 ... 10/22 47/48 4.5 Prove Triangles Congruent by SAS and HL ... Triangles Congruent by ASA and AAS

TODAY IN GEOMETRY… Review: Finding congruent angles and sides and proving triangles are congruent. Learning Goal: 4.6 Use CPCTC to prove congruent

4.4 - Prove Triangles Congruent by SAS and HL. Included Angle: Angle in-between two congruent sides

Congruent Triangles - Weeblycmwarren.weebly.com/uploads/1/2/0/8/120830366/triangle_congrue… · Congruent Triangles • Congruent triangles have • The parts of congruent triangles

4.4 - Prove Triangles Congruent by SAS and HL

NEVER use SSA to prove triangles are congruent!. CPCTC Corresponding Parts of Congruent Triangles are Congruent

4.4 – Prove Triangles Congruent by SAS