1. 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

2. 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

3. 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

4. REVIEW:
Midpoint Formula

5. 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

6. 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)

7. 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

8. 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

9. Finding distance given:
A GRAPH

10. PRACTICE: Find the distance of AB.𝐴 10
𝑨𝑩=𝟏𝟎 𝐵

11. 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

12. 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

13. 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

14. Finding distance given:
TWO POINTS

15. 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 +

16. 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

17. 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

18. 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