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2 years ago

HELP!!!!!

Mathematics

2 answers:

jonny [76]2 years ago

7 0

9514 1404 393

Answer:

the diagonals bisect each other

Step-by-step explanation:

The midpoint formula tells you the midpoint M of segment XY is ...

M = (X + Y)/2

In your problem, the diagonals will bisect each other if they have the same midpoint. That is, we want to see if ...

(A +C)/2 = (B +D)/2

Multiplying by 2 can simplify our work a bit. In short, we want to test ...

A +C = B +D

(1, 4) +(-1, -4) = (4, -1) +(-4, 1) . . . . fill in the point coordinates

(1-1, 4-4) = (4-4, -1+1) . . . . . . . . . . simplify a bit

(0, 0) = (0, 0) . . . . . . . true, the midpoints are the same

The diagonals are mutual bisectors.

castortr0y [4]2 years ago

7 0

Answer:

the diagonals bisect each other

Step-by-step explanation:

The midpoint formula tells you the midpoint M of segment XY is ...

M = (X + Y)/2

In your problem, the diagonals will bisect each other if they have the same midpoint. That is, we want to see if ...

(A +C)/2 = (B +D)/2

Multiplying by 2 can simplify our work a bit. In short, we want to test ...

A +C = B +D

(1, 4) +(-1, -4) = (4, -1) +(-4, 1) . . . . fill in the point coordinates

(1-1, 4-4) = (4-4, -1+1) . . . . . . . . . . simplify a bit

(0, 0) = (0, 0) . . . . . . . true, the midpoints are the same

The diagonals are mutual bisectors.

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