Proofs Section 4.8.

Slides:

Advertisements

Similar presentations

Warm Up Lesson Presentation Lesson Quiz.

Advertisements

Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Warm Up 1. If ∆ABC  ∆DEF, then A  ? and BC  ?. 2. What is the distance between (3, 4) and (–1, 5)? 3. If 1  2, why is a||b? 4. List the 4 theorems/postulates.

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

Warm Up 1. If ∆ABC  ∆DEF, then A  ? and BC  ?. 2. What is the distance between (3, 4) and (–1, 5)? 3. If 1  2, why is a||b? 4. List methods used.

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

MIDPOINTS Section 1.5b. Warm Up: 1.Solve: 2(3x-2) = 5x Solve: 3x + 10 = 12x – 170.

Section 7 : Triangle Congruence: CPCTC

1.1 Exit Ticket: Part 1 Answers

Holt Geometry 4-6 Triangle Congruence: CPCTC Warm Up 1. If ∆ABC  ∆DEF, then A  ? and BC  ?. 2. What is the distance between (3, 4) and (–1, 5)? 3.

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

C HAPTER congruent triangles. SAT P ROBLEM OF THE DAY.

5.3 Theorems Involving Parallel Lines

4-6 Triangle Congruence: CPCTC Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz Holt McDougal Geometry.

4-6 Triangle Congruence: CPCTC Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

Holt Geometry 4-6 Triangle Congruence: CPCTC 4-6 Triangle Congruence: CPCTC Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson.

Warm Up 1. If ∆ABC  ∆DEF, then A  ? and BC  ?. 2. What is the distance between (3, 4) and (–1, 5)? 3. If 1  2, why is a||b? 4. List methods used.

1) plane BCD, plane BED, or plane ECD 1) plane BCD, plane BED, or plane ECD 2) BD, BC, BE, or BE 2) BD, BC, BE, or BE 3) EC, BC, or BE 3) EC, BC, or BE.

Ms. Andrejko 2-7 Proving Segment Relationships. Real World.

Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz.

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

________________ is an abbreviation for the phrase “Corresponding Parts of Congruent Triangles are Congruent.” It can be used as a justification in a proof.

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-6 Triangle Congruence: CPCTC Holt Geometry.

Unit 4: Triangle congruence

4-7 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

1-3 Segments, Rays, and Distance

Holt Geometry 4-3 Congruent Triangles 4-3 Congruent Triangles Holt Geometry Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson.

G-09 Congruent Triangles and their parts

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

Segment Relationships in Circles

Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

Theorems Involving Parallel Lines and Triangles

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-3 Congruent Triangles Holt Geometry Lesson Presentation.

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-7 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Section 1.5b Midpoints.

4-7 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

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.

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Objective Use CPCTC to prove parts of triangles are congruent.

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Recapping: Vector addition.

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-4 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

CPCTC uses congruent triangles to prove corresponding parts congruent.

Section 1.5b Midpoints.

Vocabulary corresponding angles corresponding sides congruent polygons.

4-7 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Section 1.3 Measuring Segments

Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC 4-4

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-3 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

4-6 Warm Up Lesson Presentation Lesson Quiz Triangle Congruence: CPCTC

Ways to prove triangles congruent:

Vocabulary Hinge.

4-1 Congruent Triangles Warm Up Lesson Presentation Lesson Quiz

Warm Up Find the measures of the sides of ∆ABC and classify the triangle by its sides. A(-7, 9) B(-7, -1) C(4, -1) AB = 10 BC = 11 AC = √221 The triangle.

Presentation transcript:

Proofs Section 4.8

Given: CB  CE, AC  DC Prove: ΔBCA  ΔECD

Given: JL  NL, L is the midpoint of KM Prove: ΔJKL  ΔNML

Given: EF  GH, FG  HE Prove: ∠H  ∠F

Given: AC = BC, M is the midpoints of AB Prove: ∠A  ∠B

Given: SP = TP, PQ bisects ∠SPT Prove: ∠S  ∠T

Given: VR RS, UT SU, RS  US Prove: VR  TU

Given: ∠E  ∠C, AE  DC Prove: EB  CB

Given: YW bisects XZ, XY  YZ. Prove: XYW  ZYW

Prove: PQ  PS Given: PR bisects QPS and QRS.

Lesson Quiz Given: X is the midpoint of AC . 1  2 Prove: X is the midpoint of BD.