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3 years ago

100 POINTS FOR WHOEVER ANSWER THIS QUESTION FULLY!!!

Mathematics

1 answer:

natulia [17]3 years ago

7 0

Answer:

Yes, diagonals bisect each other

Step-by-step explanation:

See attached

Plot the points on the coordinate plane

Visually, it is seen that the diagonals bisect each other.

We can prove this by calculating midpoints of AC and BD

Midpoint of AC has coordinates of:

x = (1 - 1)/2 = 0
y = (4 - 4)/2 = 0

Midpoint of BD has coordinates of:

x = (4 - 4)/2 = 0
y = (-1 + 1)/2 = 0

As per calculations the origin is the bisector of the diagonals.

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3 years ago

865 divided into 2330 to the nearest percent

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3 years ago

Read 2 more answers

2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall

antiseptic1488 [7]

Parallelograms have equal and parallel opposite sides

The coordinates of the 4th point is (-2,3)

Let the parallelogram be ABCD, such that:

$A = (4,3)$

$B =(-4,3)$

$C = (2,3)$

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

For point C

We have:

$x = 2$

$y = 3$

For point D

The coordinates would be:

$x =- 2$

$y = 3$

Hence, the coordinates of D is (-2,3)