Question

(1.3) and (5, 1) are consecutive vertices in a parallelogram. If (4, -3) is the third vertex, then the fourth vertex is

a) (2, 6)
b) (0, -1)
c) (8, -5)
d) either B or C

Answer 1

To find the fourth vertex of the parallelogram, we need to add the differences of the x-coordinates and the y-coordinates of the known vertices. The fourth vertex is (7.7, -3.3).

Step-by-step explanation:

In order to find the fourth vertex of the parallelogram, we need to understand the properties of parallelograms. Since (1.3) and (5, 1) are consecutive vertices, we know that the opposite vertices of the parallelogram are equidistant and parallel. Therefore, we can find the fourth vertex by adding the difference of the x-coordinates and the difference of the y-coordinates of the known vertices.

Let's calculate the differences:

x-difference = (5 - 1.3) = 3.7

y-difference = (1 - 1.3) = -0.3

Now, we add the differences to the coordinates of the third vertex (4, -3) to find the fourth vertex:

Fourth vertex = (4 + 3.7, -3 + (-0.3)) = (7.7, -3.3)

Therefore, the fourth vertex is (7.7, -3.3).