Objective: Prove triangle congruence using SSS and SAS.

Slides:

Advertisements

Similar presentations

Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B DE F.

Advertisements

Triangle Congruence Theorems

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

4.4 & 4.5 Proving Triangles Congruent

4-4 & 4-5: Tests for Congruent Triangles

Congruent Polygons. Congruent segments have the same length.

Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.

WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)

Congruent Triangles Day 1

Objectives: - Explore triangle rigidity - Develop three congruence postulates Warm-Up: Triangles QRS and FDE are congruent. Write all pairs of corresponding.

Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. Review of Congruence A C B DE F.

Triangle Congruence by ASA and AAS 4-3 Objective: To prove two triangles congruent using the ASA Postulate and the AAS Theorem.

4.3 & 4.4 Proving Triangles are Congruent

Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or.

Triangle Congruence Postulates T.2.G.1 Apply congruence (SSS …) and similarity (AA …) correspondences and properties of figures to find missing parts of.

Triangle Congruence Students will be able to apply the Triangle Congruence Postulates in order to solve problems.

4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.

Proving Triangles Congruent Geometry Ch 04 A BowerPoint Presentation.

SSS, SAS, and SSA Congruence Shortcuts Objectives: 1. Explore shortcuts for determining whether triangles are congruent.

Warm-up with 4.5 other congruence shortcuts For 1 -3 tell whether it is possible (YES or No) to draw a triangle with the given side lengths. 1) 7 in.,

Triangle Congruencies HOMEWORK: Proofs WS & Triangle Packet - evens Quiz Friday January11, 2012 Lessons 4.3 – 4.5 Triangle Sum, Triangle Inequalities,

Warm-up with 4.5 other congruence shortcuts For 1 -3 tell whether it is possible (YES or No) to draw a triangle with the given side lengths. 1) 7 in.,

4.3: Analyzing Triangle Congruence

Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?

Math 1 February 27 th Turn in homework – page 34.

Warm-up 3.4 and 4.4 Draw the figure and solve for the missing angles.

Triangle Congruencies Lesson 4.4. c)What is PZ? d)What is

Geogebra Warm-up Open a 5.3 geogebra file on scevmath.org.

Proving Triangles Congruent

(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs.

Chapter 4: Triangle Congruence MISSY MCCARTHY OKEMOS HIGH SCHOOL MATH INSTRUCTOR.

Monday, October 22, 2012 Homework: p. 211 #28-34 even.

What’s wrong with this picture?. Warm-up Turtle’s walk at 3-4 mph. Snails top speed is 13 inches in 2 minutes. Wee!

4.3 Triangle Congruence by ASA and AAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

4-2 Triangle Congruence by SSS and SAS. Side-Side-Side (SSS) Postulate If the three sides of one triangle are congruent to the three sides of another.

Warm Up  For both right triangles, find the value of x. x x

4.2: Triangle Congruency by SSS and SAS

For 9 th /10 th grade Geometry students Use clicker to answer questions.

DO NOW Identify the corresponding parts using tick marks. Then state which polygons are congruent. 1.2.

4.2 Triangle Congruence by SSS and SAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.

Proving Triangles Congruent. How much do you need to know... need to know about two triangles to prove that they are congruent?

Geometry Sections 4.3 & 4.4 SSS / SAS / ASA

Proving Triangles Similar by AA , SAS, & SSS

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

Proving Triangle Congruency. What does it mean for triangles to be congruent? Congruent triangles are identical meaning that their side lengths and angle.

Are the following triangles congruent? Why or why not? Write a congruence statement for the triangles. 21 ° 74 ° 85 ° 21 ° 74 ° 85 ° T S R L M N.

Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B DE F.

CONGRUENT TRIANGLES Side-Side-Side Postulate (SSS) Side-Side-Side Congruence: If the sides of one triangle are congruent to the sides of a second triangle,

Do Now: Identify two congruent triangles in the figure below. H N A D.

Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x ° 1) Find the value of x. 4x x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.

4.2 Notes SSS and SAS. What can you conclude? Look at the diagram. What can you conclude, if anything? How can you justify your conclusion(s).

Warm Up: March 27th Translate Left 5 and down 4Left 3 and up 2 A B CD.

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

Bell ringer On a sheet of paper, draw and label two congruent triangles. Your triangles should be oriented differently (example: not facing the same.

4-2 Triangle Congruence by SSS and SAS

Proving Triangles are Congruent

Proving Triangles Congruent

Triangle Congruence Shortcuts Review

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

Triangle Shortcuts!!!.

Learn to use the ASA and AAS tests for congruence.

Warmup Write a congruence statement for the triangles.

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

9.5 Congruence Transformations

4-4/4-5 Proving Triangles Congruent

Presentation transcript:

Objective: Prove triangle congruence using SSS and SAS. Warm up Mark the angles and sides of each triangle to indicate congruent parts. a.

b.

Two figures are congruent if and only if : one can be mapped onto the other by one or more rigid transformations. 2. Are the two triangles congruent? Justify your answer.

(1) transformation

(2) transformation

Are the two triangles congruent?

Short Cuts to prove triangles are congruent

Side-Side-Side (SSS) Three pairs of congruent sides

Side-Angle-Side (SAS) Two pairs of congruent sides and one pair of congruent angles included between the two congruent sides.

Example 1 Are triangle RQP and triangle VTS congruent Example 1 Are triangle RQP and triangle VTS congruent? Justify your answer.

Example 2 Determine which triangles are congruent Example 2 Determine which triangles are congruent. Name the congruence conjecture that justify your answer. a.

c. d.

Example 3

Classwork Pg 224 #4-9,12,13,18,19 Pg #229 #4-12,14,15

Congruence Shortcuts?

Congruent triangle conjectures SSS (three sides are congruent) SAS (two sides and the included angle) ASA (two angles and the included side) AAS (two angles and the non-included side)

Gizmo: Proving Triangles Congruent www.explorelearning.com Determine which conditions guarantee congruency of triangles. AAA, SSS, SS, SAS, SSA, ASA, SAA