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TODAY IN GEOMETRY… Stats on Algebra Review Quiz Warm Up: Geometry Notation Review Calculating Midpoint Learning Goal: 1.3 Calculating distance between two points Independent Practice – NO A.T. Return Algebra Review Quiz QUIZ-Friday

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**NUMBER OF STUDENTS WHO TOOK THE ALG. REVIEW QUIZ (14 pts.)**

HOW DID YOU “SHAPE” UP?? Results for ALL of my Geometry classes: GRADE NUMBER OF STUDENTS WHO TOOK THE ALG. REVIEW QUIZ (14 pts.) 1ST PERIOD 3RD PERIOD 5TH PERIOD 6TH PERIOD TOTAL A 14 11 13 15 53 B 5 9 6 4 24 C 1 2 D 7 F 3 29 28 23 26 105

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**C K i WARM UP: Match the correct notation to each of the figures. 1.**

2. 3. 𝐵 a. 𝐴𝐵 h. 𝐷𝐸 b. 𝐷𝐸 i. 𝐹𝐺 c. 𝐴𝐵 j. 𝐴𝐵 d. 𝐹𝐸 k. 𝐷𝐸 e. 𝐹𝐺 l. 𝐹𝐺 f. 𝐷𝐸 m. 𝐸𝐷 g. 𝐴𝐵 n. 𝐸𝐷 𝐴 K 𝐷 𝐸 i 𝐹 𝐺

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REVIEW: Midpoint Formula

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**𝐴 −4, 6 𝐵(6, 8) REVIEW: Find the midpoint between A and B.**

𝐴 −4, 6 𝐵(6, 8) Use the midpoint formula 𝑥 1 + 𝑥 2 2 , 𝑦 1 + 𝑦 2 2 Substitute known values −4+6 2 , 6+8 2 Add , 14 2 Simplify 𝟏, 𝟕

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**REVIEW: Find the midpoint between A and B.**

Midpoint Formula: 𝑥 1 + 𝑥 2 2 , 𝑦 1 + 𝑦 2 2 ( −6+7 2 , 4+(−2) 2 ) 1 2 , 2 2 M ( 1 2 ,1) (−6,4) 𝐴 𝑀 𝐵 (7,−2)

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**PRACTICE: Given an endpoint 𝐴(3, −2) and the midpoint 𝑀 7, 2 , find the second endpoint.**

𝑩(𝟏𝟏, 𝟔) M A B (3, −2) (7, 2) ( , ) 7+4 2+4 +4 +4 +4 +4

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**Given two points 𝑥 1 , 𝑦 1 𝑎𝑛𝑑 𝑥 2 , 𝑦 2 **

DISTANCE: The length between two points. Distance can never be negative! EXAMPLE: The distance between points A and B is 11. 𝐴 𝐵 11 DISTANCE FORMULA: Given two points 𝑥 1 , 𝑦 1 𝑎𝑛𝑑 𝑥 2 , 𝑦 2 𝑑= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2

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**Finding distance given:**

A GRAPH

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**PRACTICE: Find the distance of AB.**

𝐴 10 𝑨𝑩=𝟏𝟎 𝐵

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**PRACTICE: Find the distance of CD.**

𝐶 Distance Formula: 𝑑= 𝑎 2 + 𝑏 2 𝑑= 𝑑= 𝑑= 164 𝑪𝑫= 𝟏𝟔𝟒 d 10 a b 8 𝐷

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**PRACTICE: Find the distance of CD.**

𝐶 Distance Formula: 𝑑= 𝑎 2 + 𝑏 2 𝑑= 𝑑= 𝑑= 85 𝑪𝑫= 𝟏𝟔𝟒 d 6 a b 𝐷 7

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**PRACTICE: Find the distance of EF.**

Distance Formula: 𝑑= 𝑎 2 + 𝑏 2 𝑑= 𝑑= 9+16 𝑑= 25 𝑑=5 𝑬𝑭=𝟓 𝐹 d a 3 b 𝐸 4

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**Finding distance given:**

TWO POINTS

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**PRACTICE: Find the distance of AB given the two points 𝐴 −3,3 𝑎𝑛𝑑 𝐵 13,5 .**

𝑥 𝑦 𝑥 𝑦 2 Distance Formula 𝑑= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2 Substitute known values 𝑑= (13− −3 ) 2 + (5−3) 2 Subtract 𝑑= Square 𝑑= Add 𝑑= 250 𝑨𝑩= 𝟐𝟓𝟎 +

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**PRACTICE: Find the length of AC given the two points 𝐴 3,6 𝑎𝑛𝑑 𝐶 6,10 .**

𝑥 𝑦 𝑥 𝑦 2 Distance Formula 𝑑= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2 Substitute known values 𝑑= (6−3) 2 + (10−6) 2 Subtract 𝑑= Square 𝑑= 9+16 Add 𝑑= 25 𝑨𝑪=𝟓 =5

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**PRACTICE: Find the length of RS given the two points 𝑅 3,4 𝑎𝑛𝑑 𝑆 −1,−8 .**

𝑥 𝑦 𝑥 𝑦 2 Distance Formula 𝑑= ( 𝑥 2 − 𝑥 1 ) 2 + ( 𝑦 2 − 𝑦 1 ) 2 Substitute known values 𝑑= (−1−3) 2 + (−8−4) 2 Subtract 𝑑= (−4) 2 + (−12) 2 Square 𝑑= Add 𝑑= 160 𝑹𝑺= 𝟏𝟔𝟎

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HOMEWORK #4: Pg. 20: 31-34, 43-45, 50-52 REMINDER: turn in your Student Acknowledgment and Agreement Form! If finished, work on other assignments: HW #1: Pg. 5: 1, 5, 8-11, 13, 15, 17-21, 27-30, 46 HW #2: Pg. 12: 6-16, 21-28, 33, 35 HW #3: Pg. 19: 5-19, 25-27

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