10. Which representation of a transformation on a coordinate grid does not preserve orientation? A. (x, y) → (4x, 4y) A. , , , , , , x... Y... Symbol... 4 x... 4 y, , B. (x, y) → (−y, x) B. , , , , , x... Y... Symbol... Negative y... X, , , , , C. (x, y) → (14x, 14y) C. , , , , , x... Y... Symbol... 1 over 4x... 1 over 4y, , , , , D. (x, y) → (x, −y) D. , x... Y... Symbol... X... Negative y, , , , ,

D. (x, y) → (x, −y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.

The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.

The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.

The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.

The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.

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