In a trapezoid abcd with legs ab and cd , the diagonals intersect each other at point o. compare the areas of △abd and △acd

The area of △ABD and △ACD are equal.

Step-by-step explanation:

Triangles lying   on same base and between same parallels are equal in area .

In a trapezoid the opposite sides are parallel.The legs of the trapezoid are AB and CD.The triangles △ABD and △ACD are having the same base AD and are lying between the same parallel lines AB and CD,so they are w=equal in area.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1