University:
High School
Course:
High School Geometry
Academic year:

2021
Views:

368

Pages:

4
Author:

allison615tp

Using Midpoint and Distance Formula midpoint List ofterms you should recognize in а picture and apply forinula (as covered in class) the point that divides the segment into two congruent segments. segment blsector а point, ray, line, line segment, or plane that intersects the segment at its midpoint. А midpoint or а segment Ьisector Ьisects а segment. М is the midpoiпt of АВ. - is а egn,.eI1 - So, АМ � МВ and АМ • А = МВ. i ecto of АВ. So, АМ ::: МВ and АМ = МВ. f в А The Midpoint Formula The coordinates ofthe midpoint ofа segment are the averages ofthe x-coordinates and ofthe y-coordinates ofthe endpoints. у lf А(х1, у1) and 18(:ro:, у2_) are points iп а cooгdiпate plane tl1en the 111idpoiпt М of АВ has coordinates ( XJ + _ У1 + У2 �2 , 2 ) The Distance Formula lf А(х1 ,у1) апdВ(х2 у2) are poiпts in а coordinate рlапе then the distance between А and В is )( л Extra Practice ln Exercises 1-3, identify the segment Ьisector of АВ. Then find АВ. 1. • А • • 1 в М 13 2. 1 • А �01..« t,\ А-мтмВ�А� � -r- g- ::. Aм+м��lti!:> (i �) + ( ( ,) -:. lЬ j)� �А�) 3. 2..G I; ne.... ln Exercises 4-6, ide.!!! т 4. t Z...ь -:. 1.,. the segment blsector of EF. Then find EF. �т 11. lE..F � =- 7)(- 3 t+-f! -х -х 15";: �.х·3 ;. Е 1 4 Sx - • М 1 12 ,, � f � 2 _у �· 12. ·U Z -1 1 z._ :;: --� .!:?. 'i,, 2- r "i+I.\ -1 "t Зх - f\'Лм�е 'Z' \ + �\ eF-=- ("'; +(�') • -'/' 5. ' 1\ 6. o-Mj Ам t·M&.: АВ 26 � м 8 • F +J в Extra Practice ln Exercises 7-9, the endpoints of PQ are given. Find the coordinates of the midpoiht М, and the length of PQ 7. Р(-4,3) and Q·_.Q 5) ){ 1 4- Х 2... .'1 ,1 2.,.. + у'2.. � lf'�� оlл'т»��-е.. { жмиlд') "' J С", - 2 -ч 't"' о :. ( - '1 - 2- z.Y t( У,� Y-z. о J1- , ( 3 - 51 '2. l V "&- ь ,f- "I - 1 8. Р (-2 7) and :) � Q (1 0, -3) c{i��•lt --v с-2 - �� +-(1- -3) -------- 'L + (7. 't3) 1. � - - 7) � ()( ! 11 -·Z..\.... (О+� '1. (!1,\ f {-10� (..:11 i,\ t to t. ,_ 2- 1.,( fV\, d p o i л� У. J(., 9. Р (3 -15) l'\�,�'v\'4"" 3" '1 '2. J.. 1-) (_ ч ) and Q ( , -3) -IS"r -3 .. 1 I '2.. '2.. 6-' 2.. 1- -� � 5о М �� poil\ t1 t '1 "' + 1 00 t '-l LL � 100 ( � 1 -�) f/. i"",f.fl, -; 1' � z_ •t �� oi ,5� fLt � ::. ( � - 4) 1. t (-15 - .. .3 -IS"-tr} (-Ь )-а. +-(-l'Z.) J 3е:. +tчч 1 1 ... 1,.