Question

Rectangle ABCD
has vertices A(−1,−2)
, B(−1,−8)
, C(−8,−8)
, and D(−8,−2)
.
The rectangle ABCD
is reflected on the x
-axis and the y
-axis. Find the coordinates of the vertices for rectangle A′B′C′D′
.(1 point)
Responses

Rectangle A′B′C′D′
has vertices A′(1,−2)
, B′(1,−8)
, C′(8,−8)
, and D′(8,−2)
.
Rectangle cap A prime cap b prime cap c prime cap d prime has vertices cap A prime times open paren 1 comma negative 2 close paren, cap b prime times open paren 1 comma negative 8 close paren, cap c prime times open paren 8 comma negative 8 close paren, and cap d prime times open paren 8 comma negative 2 close paren. - no response given

Rectangle A′B′C′D′
has vertices A′(1,2)
, B′(1,8)
, C′(8,8)
, and D′(8,2)
.

Answer 1

Reflecting across the x-axis changes (x,y) to (x,−y); then reflecting across the y-axis changes (x,−y) to (−x,−y). So each coordinate becomes its opposite.

A′(1,2), B′(1,8), C′(8,8), D′(8,2).