Which statement explains why △ABC is congruent to △A′B′C′? You can map △ABC onto △A′B′C′ by reflecting it over the y-axis and translating it 4 units down, which is a sequence of rigid motions. You can map △ABC onto △A′B′C′ by reflecting it over the x-axis and translating it 7 units right, which is a sequence of rigid motions. You can map △ABC onto △A′B′C′ by reflecting it over line y = x and translating it 5 units right, which is a sequence of rigid motions. You can map △ABC onto △A′B′C′ by rotating it 90° clockwise about the origin and translating it 5 units right, which is a sequence of rigid motions.

were is the equation

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

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: