125 Identify congruent figures their corresponding congruent parts

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12/5: Identify congruent figures & their corresponding congruent parts Do Now Agenda Homework On

12/5: Identify congruent figures & their corresponding congruent parts Do Now Agenda Homework On your desk: - Pencil & Calculator - Handouts from front Announcements Handout (15 problems) Guided Practice Do Now: Write objective in notes Independent Practice Exit Ticket Test Corrections will replace Exam Retakes

We will learn to… Identify congruent figures & their corresponding congruent parts

We will learn to… Identify congruent figures & their corresponding congruent parts

Vocabulary shape size Congruent figures have the same _______ & _______ • Their corresponding

Vocabulary shape size Congruent figures have the same _______ & _______ • Their corresponding parts (matching _______ and sides angles congruent _____ ) are _________.

Congruent Figures • Their corresponding parts are congruent, meaning: sides length o Matching _______have

Congruent Figures • Their corresponding parts are congruent, meaning: sides length o Matching _______have the same ____ angles degree measure o Matching _______have the same ____

Example 1: Naming Congruent Parts of Congruent Figures Angles: Sides: Triangle Congruence Statement: _________

Example 1: Naming Congruent Parts of Congruent Figures Angles: Sides: Triangle Congruence Statement: _________ vertices Must list corresponding ______ in the same order

Example 2: Naming Congruent Parts of Congruent Figures from a Congruence Statement If HIJK≅LMNO,

Example 2: Naming Congruent Parts of Congruent Figures from a Congruence Statement If HIJK≅LMNO, list the congruent corresponding parts. Angles: Sides:

Example 3: Using Congruent Figures to Solve for Missing Values LM = GH 8

Example 3: Using Congruent Figures to Solve for Missing Values LM = GH 8 = 2 x – 3 11 = 2 x x = 5. 5 72 = 7 y + 9 63 = 7 y 9=y

Example 4: Check your understanding by completing alone! • 4 a – 4 =

Example 4: Check your understanding by completing alone! • 4 a – 4 = 48 4 a = 52 a = 13

Check Your Understanding! 1. Write a triangle congruence statement for the two triangles below:

Check Your Understanding! 1. Write a triangle congruence statement for the two triangles below: FGH JKH

Check Your Understanding! •

Check Your Understanding! •

Third Angles Theorem angles of one triangle are _____ to congruent two _______ If

Third Angles Theorem angles of one triangle are _____ to congruent two _______ If _____ third two angles of ____ triangle, then the ______ another angles congruent _______ are _____.

Example 4: Using the Third Angles Theorem m∠M = m∠T 92⁰ = m∠T 180

Example 4: Using the Third Angles Theorem m∠M = m∠T 92⁰ = m∠T 180 – (52 + 36) 180 - 88 92⁰

Example 6: Applying the Third Angles Theorem Find the value of x. x =

Example 6: Applying the Third Angles Theorem Find the value of x. x = 15

Your Independent Practice Time • Prepare for ET – Complete HW due 12/7(A) and

Your Independent Practice Time • Prepare for ET – Complete HW due 12/7(A) and 12/8(B) • Can you answer these questions: – What is the Third Angles Theorem used for? showing two angles are congruent – How do you write a congruence statement? use vertices in correct order – What do we mean by congruent corresponding parts? sides and angles