Parallelogram NBPJ ~ parallelogram XHLD
Drag the answers into the boxes to match each part of parallelogram NBPJ with the
corresponding part of parallelogram XHLD.

∠J ⇔ ∠D

NB ⇔XH

∠P ⇔ ∠L

JN ⇔ DX

Step-by-step explanation:

A flat shape with 4 straight sides where opposite sides are parallel,opposite sides are equal in length, and opposite angles are equal is called Parallelogram.

Here in above picture, Parallelogram NBPJ ~ Parallelogram XHLD i.e. both are similar as all the sides and all the angles are congruent. . Since, parallelograms are similar every corresponding angle or side is also similar to other parallelogram . ∴ ∠J is similar to ∠D as angle D is corresponding to angle J in both parallelograms { ∠J ⇔ ∠D }.  Side NB is corresponding to side XH , so NB ⇔XH. ∠P is corresponding to ∠L , ∴ ∠P ⇔ ∠L. Side JN corresponds to Side DX , so JN ⇔ DX.

step-by-step explanation:

abc

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