2. Three vertices of a rectangle are A(2, -1), B(2,7) and C(4,7). Plot these points on a graph and hence use it to find the coordinates of the fourth vertex D. Also find the coordinates of (1) the mid-point of BC (ii) the mid-point of CD (iii) the point of intersection of the diagonals. What is the area of the rectangle?
Answers
Given : Three vertices of a rectangle are A(2, -1), B(2,7) and C(4,7)
To Find : the coordinates of the fourth vertex D.
(1) the mid-point of BC (ii) the mid-point of CD (iii) the point of intersection of the diagonals. What is the area of the rectangle?
Solution:
Three vertices of a rectangle are A(2, -1), B(2,7) and C(4,7).
fourth vertex is D ( 4 , - 1)
AB = CD = 8
BC = AD = 2
Mid point of BC
, B(2,7) and C(4,7).
= (3 , 7)
mid-point of CD
C(4,7) D ( 4 , - 1)
= (4 , 3)
the point of intersection of the diagonals. ( 3, 3)
Area of rectangle = 8 * 2 = 16 sq units
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Step-by-step explanation:
hope it helps...i am glad to help . mark braniest
