Curi Yutzy ECOMP 5007. Triangle Congruence Review Use the pointer tool to draw arrows to the correct abbreviation for that congruence shortcut. Side,

Slides:

Advertisements

Similar presentations

Blue – 3/9/2015 Gold – 3/10/2015.  Last 2 classes, we talked about 3 ways we can determine triangle congruence.  CPCTC – All 3 sides and 3 angles of.

Advertisements

Triangle Congruence Theorems

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

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

Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.

Proving Triangles Congruent Honors Geometry. The triangles below can be proved congruent using what rule?

Corresponding Parts of Congruent Triangles Lesson 4-4.

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)

Lesson 4-2: Triangle Congruence – SSS, SAS, ASA, & AAS

Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.

Chapter 4 Congruent Triangles.

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.

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

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.,

TODAY IN GEOMETRY…  Learning Target: PROOF-A-RAMA Work in groups to prove triangles are congruent  Independent practice.

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

Proving Triangles Congruent

Lesson: 9 – 3 Similar Triangles

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

Geometry 4-3 Triangle Congruence

(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.

Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,

Triangle Congruence. 3 line segments (dried spaghetti sticks – make three different sizes) Take 3 line segments Make a triangle Mark the vertices Draw.

Unit 4 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)

Drill Write your homework in your planner Take out your homework Find all angle measures:

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

Warm up 10/09/15 Friday 1.The three angles in a triangle should add up to _______degrees. 2.When two triangles are congruent, the measurement of the three.

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

POINTS, LINES AND PLANES Learning Target 5D I can read and write two column proofs involving Triangle Congruence. Geometry 5-3, 5-5 & 5-6 Proving Triangles.

Warm up No, the measures are not the same Yes, angle measures are the same and the rays go to infinity No, corresponding sides are not congruent, and we.

100 Geometry Jeopardy Angles Classifications Pairs of Angles What's the degree? Similar or not?

Proving Triangles are Congruent: SSS and SAS Sec 4.3

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

Geometry Sections 4.3 & 4.4 SSS / SAS / ASA

Proving Triangles Similar by AA , SAS, & SSS

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,

Warm Up Draw a triangle with the following specifications –One side 5 cm –One side 8 cm –A 40 degree Angle Compare your triangle with your classmates.

Triangle Congruence 4.2 /4.3 Day 1 SSS, SAS, ASA, AAS.

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

Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

Objective: Prove triangle congruence using SSS and SAS.

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

Prove triangles congruent by ASA and AAS

Warm Up m<L = m<L = 180 m<L =

4.6: Triangle congruence ASA, AAS, & HL.

Triangle Congruence HL and AAS

Homework Questions.

Proving Triangles Congruent: SSS and SAS

Triangle Congruence Shortcuts Review

4-4 and 4-5: Congruent Triangle Theorems

Modules 5 & 6 Triangle Congruence Proofs

4.5 ASA and AAS Ways to prove 2 triangles congruent:

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

Triangle Congruence HL and AAS

JRLeon Discovering Geometry Chapter HGSH

Get out your Module 4 quiz and

Learn to use the ASA and AAS tests for congruence.

Warmup Write a congruence statement for the triangles.

Modules 5 & 6 Triangle Congruence Proofs

Proving Triangles are Congruent

Triangle Congruency Theorems (shortcuts)

Proving Triangle Congruence by ASA and AAS

4-2 Triangle congruence by sss & sas

4.2 /4.3 – Triangle Congruence

Presentation transcript:

Curi Yutzy ECOMP 5007

Triangle Congruence Review Use the pointer tool to draw arrows to the correct abbreviation for that congruence shortcut. Side, Angle, Side Side, Side, Side Angle, Side, Angle ASA SSS SAS Check Answers

Triangle Congruence Review The two triangles below are congruent. What triangle congruence shortcut tells us that they are congruent? Type your answer into the text box below and then click on the box to check your answer. Check Answer SAS

Triangle Congruence Review The two triangles below are congruent. What triangle congruence shortcut tells us that they are congruent? Type your answer into the text box below and then click on the box to check your answer. Check Answer ASA

Triangle Congruence Review The two triangles below are congruent. What triangle congruence shortcut tells us that they are congruent? Type your answer into the text box below and then click on the box to check your answer. Check Answer SSS

Try again. We know that the triangles share a side so one side is congruent, but we can’t determine if either of the other sides are congruent. Try Again. Although all three angles are congruent, AAA doesn’t not prove triangle congruency. YES! Since these triangles share a side, we can say that those two sides are congruent. Triangle Congruence Review The two triangles below are congruent. Select the congruence shortcut that proves it. SSS ASA SAS AAA

Try again. We can determine one set of angles that are congruent (Vertical Angles), but we cannot determine if any other set of angles Are congruent. Try again. We cannot determine if the 3 rd sides of the triangles are congruent with the information that is given. Try Again. There are two sets of sides and one set of angles that are congruent, but the angle is IN BETWEEN the sides. YES! The vertex that the two triangles share creates vertical angles. Vertical angles are congruent angles. Triangle Congruence Review The two triangles below are congruent. Select the congruence shortcut that proves it. SSSSAS ASASSA

Try again. We know that one set of the sides in the triangles are congruent, but we cannot determine if either of the other sides are congruent. Try Again. Although all three angles are congruent, AAA doesn’t not prove triangle congruency. YES! Because the two horizontal lines are parallel we know that the sets of base angles are congruent by Alternate Interior Angles. Triangle Congruence Review The two triangles below are congruent. Select the congruence shortcut that proves it. *The horizontal lines are parallel* SSS ASA SAS AAA

Tomorrow We will go over the congruence shortcuts that we did not get to today. SSA AAS AAA

Tonight Homework: Due Tomorrow Discovering Geometry Pgs (evens)