Reflect square ABCD with respect to the x -axis and the y -axis. What are the vertices of square A′B′C′D′ ?
To reflect square ABCD with respect to the x-axis, we simply need to change the sign of the y-coordinates of each vertex. The x-coordinates remain unchanged.
Square ABCD:
A(0,0), B(1,0), C(1,1), D(0,1)
Reflecting with respect to the x-axis:
A'(0,0), B'(1,0), C'(1,-1), D'(0,-1)
To reflect square ABCD with respect to the y-axis, we simply need to change the sign of the x-coordinates of each vertex. The y-coordinates remain unchanged.
Reflecting with respect to the y-axis:
A'(0,0), B'(-1,0), C'(-1,1), D'(0,1)
So the vertices of square A'B'C'D' after reflecting with respect to the x-axis are: A'(0,0), B'(1,0), C'(1,-1), D'(0,-1)
And the vertices after reflecting with respect to the y-axis are: A'(0,0), B'(-1,0), C'(-1,1), D'(0,1)
quare A′B′C′D′ has vertices A′(−3,4), B′(−7,4), and C′(−7,8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis negative 3 comma 4 right parenthesis , upper B prime left parenthesis negative 7 comma 4 right parenthesis , and upper C prime left parenthesis negative 7 comma 8 right parenthesis .
Square A′B′C′D′ has vertices A′(3,4), B′(7,4), C′(7,8), and D′(3,8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis 3 comma 4 right parenthesis , upper B prime left parenthesis 7 comma 4 right parenthesis , upper C prime left parenthesis 7 comma 8 right parenthesis , and upper D prime left parenthesis 3 comma 8 right parenthesis .
Square A′B′C′D′ has vertices A′(−3,−4), B′(−7,−4), C′(−7,−8), and D′(−3,−8).
Square upper A prime upper B prime upper C prime upper D prime has vertices upper A prime left parenthesis negative 3 comma negative 4 right parenthesis , upper B prime left parenthesis negative 7 comma negative 4 right parenthesis , upper C prime left parenthesis negative 7 comma negative 8 right parenthesis , and upper D prime left parenthesis negative 3 comma negative 8 right parenthesis .
Square A′B′C′D′ has vertices A′(−3,4), B′(−7,4), C′(−7,8), and D′(−3,8).
Of these answers