Question

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

Answer 1

1) (2,1) 2) D=(2, -2) 3) (-5,-5) 4) (-1,-1)

Explanation:

1) What are the coordinates of vertex D? Since it's a square, a regular quadrilateral, the legs have the same length: A(2,5) B(6,5) = |2-6|=|-4|=4 units According to the graph D has to be located 4 units to the left.

A(2, 5); B(6, 5); C(6, 1)

D=C(6-4,1) D = (2,1)

2) A(2, 3), B(7, 3), and C(7, -2) are three vertices of square ABCD. What are the coordinates of vertex D?

The same principle, for finding this Vertex coordinate so A(2, 3), B(7, 3), and C(7, -2) leg whose measure is equal to 5 units so D, according to the graph must be 5 units to the left.

A(2, 3), B(7, 3) |2-7|=|-5|=5 units

D =C(7-5,-2) D=(2, -2)

3) A(-5, -1), B(1, -1), and C(1, -5) are three vertices of rectangle ABCD. What are the coordinates of vertex D?

In this one, we have a rectangle, the distance AB= A(-5,-1) and B(1,-1) since A and B are on the same line, we can simply calculate the absolute value of x-coordinate =|-5-1|=|-6|=6 units. According to coordinate D, can only be to the left so

So D = C(1-6,-5)

D=(-5,-5)

4) A(-1, 4), B(7, 4), and C(7, -1) are three vertices of rectangle ABCD. What are the coordinates of vertex D?

Similarly to the previous one:

A(-1,4) and B(7,4) = |-1-7|=|-8|=8

D = C(7-8,-1)

D=(-1,-1)

Answer 2

1) Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
the coordinates of vertex D is (2,1)

2) Pairs A(2, 3), B(7, 3), and C(7, -2)
point D
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)

3) Pairs A(-5, -1), B(1, -1), and C(1, -5)
point D
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)

4) Pairs A(-1, 4), B(7, 4), and C(7, -1)
point D
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)