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.

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Proving Triangles Congruent

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Presentation transcript:

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 ______ and the three _______ are congruent. 1.Create triangle ABC and triangle DEF that are congruent with its side measurements and angle measurements. Label its vertices.

Triangle Activity Pre lesson notes EQ: How do you know when two triangles are congruent? Introduction before the activity: Know what SSS, SAS, SSA, AAS, ASA, AAA, HL is.

Warm up 10/13/15 Tuesday Draw a pair of triangles for each conditions SSSASAAAASAS AASSSAHLExtra space…

Activity 11 part 1: Congruence Transformations and Triangle Congruence EQ: How do you label and solve the missing sides and angles of congruent triangles?

Sub EQ1: How do you label and name the corresponding vertices, sides, and angles?

Sub EQ2: How do you solve for the missing sides and the angles of the congruent triangles? Ex1. If AB = 24 and Angle D = 25 degrees, what can you label? Ex2. If Angle C = 50 degrees and angle E = 40 degrees, what can you label?

Sub EQ3: How do you write the congruence criterion, if any, that can be used to show the triangles are congruent?

What’s due? Pg. 165 #1-10

Warm up 10/15/15 Thursday 1.Given: Prove: 2. Given: is the segment bisector of ; Prove: A B C D E F G H J Some Word Bank for the Reasons: Given, Definition of ______, Alternate Interior Angles Theorem, Vertical Angles Theorem, Reflexive Property

Essential Question of the day: How do you use two column proofs to prove that two triangles are congruent? You will need to know the 5 congruent triangle criteria. SSS, SAS, ASA, AAS, HL

Closing Questions What are some properties or theorems that we used besides the 5 congruence criteria? What are some common mistakes? What were the 5 congruence criteria? Quiz Tomorrow! – Know your 5 triangle congruence criteria, – Solving for the missing corresponding sides or angles – Two column proof!

What’s due? Pg. 166 #12-16 Instead of summary, write down what you should be careful of when you’re doing your two column proofs (minimum 5 sentences)

Warm Up 10/16/15 Friday Use two column proofs to prove that the given two triangles are congruent.