The vertices of △ABC are located at A(−2,6), B(0,4), and C(2,6). △ABC is reflected over a line such that the resulting image has vertices at A′(2,6), B′(0,4), and C′(−2,6). The vertices of △DEF are located at D(−2,6), E(−2,2), and F(2,6). What will be the coordinates of the image of △DEF after a reflection over that same line?
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Answer:
D'(2,6), E'(2,-2), and F'(-2,6)
Step-by-step explanation:
The vertices of △ABC are located at A(−2,6), B(0,4), and C(2,6)
△ABC is reflected over a line
resulting image has vertices at A′(2,6), B′(0,4), and C′(−2,6).
no change in y
change x as -x so reflected over the y axis
The vertices of △DEF are located at D(−2,6), E(−2,2), and F(2,6).)
The coordinates of the image of △DEF after a reflection over that same line
is D'(2,6), E'(2,-2), and F'(-2,6)
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