Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the vertices of △pqr are p (-4,1), q (-3,-2), and r (0,4). triangle pqr…

Question

the vertices of △pqr are p (-4,1), q (-3,-2), and r (0,4). triangle pqr is translated 5 units down to create △pqr. determine the coordinates of p, q, and r. > enter the answer in each space provided. use numbers instead of words. p (□,□) q (□,□) r (□,□)

Explanation:

Step1: Recall translation rule

Translation 5 units down means subtract 5 from the y - coordinate while x - coordinate remains the same.

Step2: Find coordinates of P'

For point P(-4, 1), x = - 4, y = 1. New y - coordinate is 1 - 5=-4. So P'(-4, -4).

Step3: Find coordinates of Q'

For point Q(-3, -2), x = - 3, y = - 2. New y - coordinate is -2 - 5=-7. So Q'(-3, -7).

Step4: Find coordinates of R'

For point R(0, 4), x = 0, y = 4. New y - coordinate is 4 - 5=-1. So R'(0, -1).

Answer:

P'(-4, -4)
Q'(-3, -7)
R'(0, -1)