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Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.

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Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each-example-1

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Answer:

Explanation:

Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each-example-1
User Tony J Huang
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The first option says a translation 7 units right.
A translation is a shift horizontally or vertically. For horizontal shifts, only x-coordinates will change, and for vertical shifts, y-coordinates change. This is because the x-axis runs horizontally left and right and the y-axis goes vertically up and down.
So a translation 7 units right would add 7 to each x-coordinate (right is positive).
Original coordinates: A(-3, 4), B(1,3), C(3,6), D(1,6)
New coordinates: A(-3+7, 4), B(1+7, 3), C(3+7, 6), D(1+7, 6)
= A(4, 4), B(8,3), C(10, 6), D(8,6)

Next statement is "a reflection across the y-axis. Reflecting across the y-axis changes the sign of x-coordinates.
Original coordinates: A(-3, 4), B(1,3), C(3,6), D(1,6)
New coordinates: A(3, 4), B(-1, 3), C(-3, 6), D(1, -6)

"A reflection across the x-axis" changes the sign of y-coordinates.
Original coordinates: A(-3, 4), B(1, 3), C(3, 6), D(1, 6)
New coordinates: A(-3, -4), B(1, -3), C(3, -6), D(1, -6)

"A translation 5 units down" subtracts 5 from each y-coordinate.
Original coordinates: A(-3, 4), B(1, 3), C(3, 6), D(1, 6)
New coordinates: A(-3, -1), B(1, -2), C(3, 1), D(1, 1)
User ScottBelchak
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