Rotate the triangle on the graph 90° counterclockwise about the origin. determine the orientation of the triangle after the rotation and place it in the correct position.

Hence, last option is true.

Step-by-step explanation:

Rotation of point through 90° about the origin in anticlockwise direction when point M (h, k) is rotated about the origin O through 90° in anticlockwise direction. The new position of point M (h, k) will become M' (-k, h).

We are given the coordinates of the given triangle as:

(-5,0),(-2,3),(-4,5)

Hence after rotation 90° anticlockwise the new coordinates of the transformed triangle will be:

(0,-5),(-3,-2),(-5,-4).

Hence we can show this transformation with the help of the figure attached to the answer.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it