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HELP 65 POINTSS!! Answer BOTH parts of the question by drawing on the following coordinate plane. For each of the transformations, use the ORIGINAL pre-image to make the new image.

(a) Draw the image of ∆PQR after a rotation of 90° clockwise about the origin. Label the image ∆P'Q'R'.

(b) Draw the image of ∆PQR after a reflection across the y-axis. Label the image ∆P''Q''R''.

HELP 65 POINTSS Answer BOTH parts of the question by drawing on the following coordinate plane For each of the transformations use the ORIGINAL preimage to make class=

Respuesta :

Using translation concepts, the transformed triangles are given in the graph at the end of the answer.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis, or rotations of a degree measure around the origin.

For this problem, the coordinates of triangle PQR are given as follows:

P(-1,-1), Q(-3,-2), R(-3,-4).

The rule for a 90º clockwise rotation around the origin is given by:

(x,y) -> (y,-x).

Hence the coordinates of triangle P'Q'R' are given by:

  • P': (-1,-1) -> (-1,1).
  • Q': (-3, -2) -> (-2, 3).
  • R' : (-3, -4) -> (-4,  3).

The rule for a reflection over the y-axis is:

(x,y) -> (-x,y).

Hence the coordinates of triangle P''Q''R'' are given by:

  • P'': (-1,-1) -> (1,-1).
  • Q'': (-3, -2) -> (3, -2).
  • R'' : (-3, -4) -> (3,  -4).

Both triangles are given in the graph at the end of the answer.

More can be learned about translation concepts at https://brainly.com/question/4521517

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