3.05 Quiz: Congruent Polygons and Their Corresponding Parts. Pls help ;-;

The correct options are presented as follows;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent

Step-by-step explanation:

The coordinate of the preimage point A = (-2, 1)

The coordinate of the image point A' = (2, 1)

Similar for points B(-5, -2) and B'(5, -2), C(-3, -4) and C'(3, -4)

Which is equivalent to a reflection across the y-axis

Similarly, we have;

The coordinate of the preimage point A' = (2, 1)

The coordinate of the image point A'' = (-1, 2)

Which is equivalent to rotation of 90° counterclockwise which involves transforming a preimage (x, y) to an image (-y, x)

Similar for points B and B', C and C'

Therefore, because the reflection transformation, and the rotation transformation, are rigid transformation, the figures of the preimage and the image are congruent

Therefore, we have;

ΔABC is reflected across the y-axis to become ΔA'B'C' is rotated 90° counterclockwise about the origin to become ΔA''B''C''. Because the transformations are rigid transformations the preimage and image are congruent.

The correct equation is (D).

Step-by-step explanation:  Given that Rin 1.5 miles to school every morning and then rides home in the afternoon.

So, the total distance covered by Rin while going to  school and coming back is given by  (1.5 + 1.5) miles.

Also, in the evening, Rin rides to the park and back home.

Let, 'x' miles be the total distance covered by her while going to the park and coming back home every evening.

Therefore, the total distance that she rides everyday will be

Since she rides a total of 25 miles over 5 school days, so the equation that can be used to find the distance she rides each evening is given by

Thus, (D) is the correct option.