Madey8esshawn7 Madey8esshawn7
  • 11-11-2016
  • Mathematics
contestada

Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Respuesta :

Nirina7
Nirina7 Nirina7
  • 17-11-2016
let be A(2,2) and B(4, 4) two points, let be C the point which is on the perpendicular bisector of the segment AB, so the coordinate of C must be 
C(2+4 / 2,  2 + 4 /2) = C(3,3)
C is equidistant from the endpoints of the segment.
proof
vect AC= (1, 1), and vect CB= (1, 1), the length of each vect is 
CB= sqrt2, and AC=
sqrt2, so it is prooved that AC=CB, C is equidistant to the two endpoints 
Answer Link

Otras preguntas

Help help help almost done thanks
What is the distance between the points (2, 1) and (14, 6) on a coordinate plane?
In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH A 35. B 55. C 135. D 145
I need these ASAP………..
HELP I HAVE 1 HOUR FOR THIS TEST HELP
help me pls, solve it using the arithmetic or geometric formula​
Suppose you finance 25000 of the purchase price of a new car with a 60-month loan at 0,4 percent per month. What will your payments be?
how many doses of johnson and johnson vaccine do you need
How many solutions are there for this equation? 3(4x + 2) = 8x + 24 –2x
Rationalize the denominator 1/√3−1