Question

Drag the tiles to the correct boxes to complete the pairs.

Find the missing the coordinates.
(2, -2)
(-5, -5)
(2, 1)
(-1, -1)
A(-5, -1), B(1, -1), and C(1, -5) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
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A(2, 5), B(6, 5), and C(6, 1) are
three vertices of square ABCD. What are
the coordinates of vertex D?
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A(2, 3), B(7, 3), and C(7, -2) are
three vertices of square ABCD. What are
the coordinates of vertex D?
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A(-1, 4), B(7, 4), and C(7, -1) are
three vertices of rectangle ABCD. What
are the coordinates of vertex D?
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Answer 1

To find the coordinates of vertex D in a rectangle ABCD, determine the length of the rectangle along the x and y axes and add the differences to the x and y coordinates of point C.

Step-by-step explanation:

To find the coordinates of vertex D in a rectangle ABCD with known coordinates of A, B, and C, we can use the following steps:

1. Aligning the rectangle in the Cartesian coordinate system, connect points A and B with a line segment to form the length of the rectangle.

2. Find the difference between the x-coordinates of points B and A to determine the length of the rectangle along the x-axis.

3. Find the difference between the y-coordinates of points B and A to determine the length of the rectangle along the y-axis.

4. Add the difference in x-coordinates to the x-coordinate of C to find the x-coordinate of point D.

5. Add the difference in y-coordinates to the y-coordinate of C to find the y-coordinate of point D.