Question

The vertices of a triangle are P(-8,6). &1.-3), and R(-6, -3). Name the vertices ofa reflection over the origin for triangle PQR?P'Q'R'

Answer 1

Answer: P' = (8, -6)

Q' = (-1, 3)

R' = (6, 3)

The initial coodinates given are

P = (-8 , 6)

Q = (1, -3)

R= (-6, -3)

When a point is reflected over the origin, the x - coordinate and the y coordinate is negated

(x, y ) --------------- ( -x , -y)

For P

P (- 8 , 6) ---------------- P' = [-(-8) , -6)]

P = (-8, 6) ---------------- P' (8, -6)

For Q

Q = (1, -3) ---------------- Q' = [(-1, -(-3)]

Q = (1, -3) ----------------- Q' = (-1, 3)

For R

R= (-6, -3) ----------------- R' = [-(-6), -(-3)]

R = (-6, -3) --------------- R' = (6, 3)

Hence, the answer is

P' = (8, -6)

Q' = (-1, 3)

R' = (6, 3)