Question

Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. Kite ABCD is shown. A is at negative 5, 1. B is at negative 2, 2. C is at negative 1, 1. D is at negative 2, 0. A (−5, 1) A″ ? B (−2, 2) B″ ? C (−1, 1) C″ ? D (−2, 0) D″ ? A″ (4, 7), B″ (5, 4), C″ (4, 3), D″ (3, 4) A″ (−3, −4), B″ (−4, −7), C″ (−5, −4), D″ (−4, −3) A″ (−4, −7), B″ (−5, −4), C″ (−4, −3), D″ (−3, −4) A″ (−7, 4), B″ (−4, 5), C″ (−3, 4), D″ (−4, 3)

Answer 1

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at A'' = (-4, -7), B'' =(-5, -4), C'' = (-4, -3) and D'' =(-3, -4)

Given the coordinate of the vertices ABCD given as

A = (-5, 1)

B = (-2, 2)

C = (-1, 1)

D (-2, 0)

If the coordinates are translated by (x − 2, y + 3), the resulting coordinates will be at:

A' = (-5-2, 1+3) = (-7, 4)

B' = (-2-2, 2+3) = (-4, 5)

C' = (-1-2, 1+3) = (-3, 4)

D' (-2-2, 0+3) = (-4, 3)

If the resulting coordinate is rotated 90° about the origin in the counterclockwise direction, the final coordinate will be at (-y,x)

A'' = (-4, -7)

B'' =(-5, -4)

C'' = (-4, -3)

D'' =(-3, -4)

Learn more on translation here: brainly.com/question/12861087