Draw a
line segment AB with ends A(-1,3) and B(2,3)
produce AB to the point c so that AB = BC. Then write
the coordinate of Ć.
Answers
Step-by-step explanation:
Given :-
Draw a line segment AB with ends A(-1,3) and B(2,3) produce AB to the point c so that AB = BC.
To find :-
Write the coordinate of Ć ?
Solution :-
A_________B_________C
Given points are : A(-1,3) and B(2,3)
A and B are the two ends of the line segment AB
AB is extended to C such that AB = BC
Let the coordinates of the point C be (x,y)
Given that
AB = BC
=> B is the mid point of A and C.
Finding the mid point of A and C :-
Let (x1, y1)=A(-1,3) =>x1=-1 and y1 = 3
Let (x2, y2)= C(x,y)=>x2=x and y2=y
The midpoint of the line segment joining the two points (x1, y1) and (x2, y2) is ({x1+x2}/2 ,{y1+y2}/2)
=> ( {-1+x}/2 , {3+y}/2 )
According to the given problem
Mid point of A and C = B(2,3)
=> ( {-1+x}/2 , {3+y}/2 ) = (2,3)
On Comparing both sides
=> (-1+x)/2 = 2 and (3+y)/2 = 3
=> -1+x = 2×2 and 3+y = 3×2
=> -1+x = 4 and 3+y = 6
=> x = 4+1 and y = 6-3
=> x = 5 and y = 3
C(x,y) = (5,3)
Answer:-
The coordinates of the point C = (5,3)
Used formulae:-
The midpoint of the line segment joining the two points (x1, y1) and (x2, y2) is ({x1+x2}/2 ,{y1+y2}/2)
Answer:
Step-by-step explanation: