Answers: When they have the same measure or are marked

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Presentation transcript:

Answers: When they have the same measure or are marked OBJECTIVE: Given two or more figures, students will identify whether they are congruent, list corresponding parts, and write congruence statements. Answers: When they have the same measure or are marked congruent in a diagram. 45 Transitive property

Opener E B Name the triangle D that is a: A 1. Translation of ΔABC? F 2. Reflection of ΔABC? 3. 90o Rotation of ΔABC?

Opener E B Name the triangle D that is a: A 1. Translation of ΔABC? F 2. Reflection of ΔABC? A' A" 3. 90o Rotation of ΔABC? C'

Opener E B Name the triangle D that is a: A 1. Translation of ΔABC? F 2. Reflection of ΔABC? A' A" 3. 90o Rotation of ΔABC? C'

Opener E B Name the triangle D that is a: A 1. Translation of ΔABC? F 2. Reflection of ΔABC? A' A" 3. 90o Rotation of ΔABC? C'

Essential Question Learning Objective What is congruence and how do you read a congruence statement? I will define congruence and determine if two figures are congruent.

2x + 3x + 55 = 180 ∆ sum th. 5x = 125 x = 25 Acute So, 2(25) = 50 and 3(25) = 75 x = 50+70 ext.  th. x = 120 120 60 Acute

4x+8 =2x+3+51 6x-7 =103-x+2x 4x+8 =2x+54 2x=46 6x-7=103+x 3x-22 =x+80 ext.  th. x=23 5x=110 2x=102 x=22 x=51 4(23)+8=ext.  6(22)-7=ext.  3(51)-22=ext.  92+8=ext.  153-22=ext.  132-7=ext.  100=ext.  131=ext.  125=ext. 

Mastery is 80% or Better on Practice problems and 5- Minute Checks.

Like identical twins Another way to think about the terms corresponding is “matching”

5-Minute Check

From p225 In triangles, there are 6 sets of corresponding parts, 3 sets of sides and 3 sets of angles.

The order of the letters gives away the corresponding parts

Pair Share Discuss with a partner how order in naming triangles and other figures may or may not be important in determining congruent parts. Ex: Triangle ABC and Triangle JKL.

You try: In your notes, copy the figures and list the corresponding parts….Use White Boards CA  JS, AT  SD, CT  JD C  J, A  S, T  D

Exit Activity https://edpuzzle.com/media/596570c27ea8840fdc453d39

Start by identifying corr. parts (Def of  ’s) (Def of  seg.) substitute

Quick Write In your own words briefly describe what corresponding parts are.

Let’s add another theorem shall we

44 66

Exit Slip 1. 2. (Draw the diagram) . (Hint: there are 2 pieces of information needed)

What was the Objective for today?

Essential Question Learning Objective What is congruence and how to you read a congruence statement? I will define congruence and determine if two figures are congruent.

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