There's a diagram of a line with 5 points, A, D, B, E, C (in that order) and they are equally spaced. The question is, "In the figure below, B is the midpoint of line AC, D is the midpoint of line AB, and E is the midpoint of line BC. Show that AC=4AD.
2007-09-09 08:35:33 · 8 answers · asked by gymnaststar118 1 in Education & Reference ➔ Homework Help
AB = AD + DB
BC = BE + EC
AC = AD + DB + BE + EC
By the definition of midpoint AB is congruent to BC.
AD is congruent to DB. BE is congruent to EC.
Then AD, DB, BE, and EC are all congruent.
By substitution, AC = AD + AD + AD + AD or
AC = 4AD
2007-09-09 08:46:10 · answer #1 · answered by gateach 5 · 1⤊ 0⤋
This is a simple case of deductive reasoning;-}
sort of a combination of logic, algebra, geometry, etc.
If B is the midpoint of line AC, then AB = BC, & half of AC.
If D is the midpoint of line AB, then AD = DB, & half of AB
So if AD is half of AB, & AB is half of AC,
then AD is a quarter of AC, or AC = 4AD.
2007-09-09 08:42:56 · answer #2 · answered by Robert S 7 · 0⤊ 0⤋
The idea is to show that the distance of the parts equals the total distance. Feel free to let me know if you need futher help with this.
2007-09-09 08:39:32 · answer #3 · answered by guileshj 2 · 0⤊ 0⤋
There's something wrong with this problem. Where does the 4 come from?I think something is missing.
2007-09-09 08:43:43 · answer #4 · answered by steven h 2 · 0⤊ 1⤋
oh thats really hard! sorry im actually good at maths but this i cant figure out! what is it anyway like a-level math? :/
2007-09-09 08:41:55 · answer #5 · answered by shazee 2 · 0⤊ 1⤋
umm i cant do that w/o a picture first...
2007-09-09 08:38:13 · answer #6 · answered by Anonymous · 0⤊ 2⤋
a --- d --- b --- e --- c
AC = 4AD
2007-09-09 08:39:46 · answer #7 · answered by jsprplc2006 4 · 0⤊ 0⤋
AD=1/4 of AC so AC=4*AD DUH!
2007-09-09 08:42:01 · answer #8 · answered by Anonymous · 0⤊ 1⤋