Question

A vertex of △PQR
△
𝑃
𝑄
𝑅
is rotated from Q(−4,−9)
𝑄
(
−
4
,
−
9
)
to Q′(−9,4)
𝑄
′
(
−
9
,
4
)
. Use rotation function mapping to determine where the image of the other two vertices P(−4,0)
𝑃
(
−
4
,
0
)
and R(4,−4)
𝑅
(
4
,
−
4
)
, should be placed.(1 point)
Responses

P′(0,−4)
𝑃
′
(
0
,
−
4
)
and R′(−4,−4)
𝑅
′
(
−
4
,
−
4
)

upper P prime left parenthesis 0 comma negative 4 right parenthesis and upper R left parenthesis negative 4 comma negative 4 right parenthesis

P′(0,4)
𝑃
′
(
0
,
4
)
and R′(−4,−4)
𝑅
′
(
−
4
,
−
4
)

upper P prime left parenthesis 0 comma 4 right parenthesis and upper R left parenthesis negative 4 comma negative 4 right parenthesis

P′(0,−4)
𝑃
′
(
0
,
−
4
)
and R′(−4,4)
𝑅
′
(
−
4
,
4
)

upper P prime left parenthesis 0 comma negative 4 right parenthesis and upper R left parenthesis negative 4 comma 4 right parenthesis

Answer 1

Rotation is 90° clockwise about the origin, which maps (x,y) → (y,−x).

Apply to P(−4,0): P′ = (0,4).
Apply to R(4,−4): R′ = (−4,−4).

So P′(0,4) and R′(−4,−4).