Reflections Across the x- or y- Axis Practice
Math 8 Q3 (Pre-Algebra) / Transformations and Congruence
Square ABCD has vertices A(2,4), B(2,11), C(7,11) , and D(7,4). The square ABCD is reflected on the x-axis and the y - axis. Find the coordinates of the vertices for square A'B'C'D'. Choose 1 for Option A and 2 for Option B.
Option A: Square A'B'C'D' has vertices A'(-2,-4), B'(-2,-11), C'(-7,-11) , and D'(-7,-4).
Option B: Square A'B'C'D' has vertices A'(2,-4), B'(2,-11), C'(7,-11) , and D'(7,-4). (1
The square ABCD has vertices A(2,4), B(2,11), C(7,11), and D(7,4).
To reflect the square across the x-axis, we need to change the sign of the y-coordinates. The x-coordinates remain the same.
So the coordinates of the reflected square A'B'C'D' will be A'(2,-4), B'(2,-11), C'(7,-11), and D'(7,-4).
To reflect the square across the y-axis, we need to change the sign of the x-coordinates. The y-coordinates remain the same.
So the coordinates of the reflected square A''B''C''D'' will be A''(-2,-4), B''(-2,-11), C''(-7,-11), and D''(-7,-4).
Comparing the coordinates given in the options:
Option A: Square A'B'C'D' has vertices A'(-2,-4), B'(-2,-11), C'(-7,-11), and D'(-7,-4). (Incorrect)
Option B: Square A'B'C'D' has vertices A'(2,-4), B'(2,-11), C'(7,-11), and D'(7,-4). (Correct)
Therefore, the correct answer is Option B.