Asked by Madeline

You are graphing rectangle ABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:

A =(−7,−7.5), B = (−3,7.5), C = (−3,2.5)

What are the coordinates of point D?
Answered by Madeline
Ok thanks... how was your day??
Answered by Madeline
Nice.. I went to school with my BFF today..!! Rectangle
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ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
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2
,
0
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A(2,0)A, left parenthesis, 2, comma, 0, right parenthesis,
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6
,
0
)
B(6,0)B, left parenthesis, 6, comma, 0, right parenthesis,
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6
,
7
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C(6,7)C, left parenthesis, 6, comma, 7, right parenthesis, and
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2
,
7
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D(2,7)D, left parenthesis, 2, comma, 7, right parenthesis.
What is the area of rectangle
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ABCDA, B, C, D?
Answered by Madeline
Rectangle
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ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
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−
7
,
−
5
)
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−
7
,
6
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A(−7,−5),B(−7,6),A, left parenthesis, minus, 7, comma, minus, 5, right parenthesis, comma, B, left parenthesis, minus, 7, comma, 6, right parenthesis, comma
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(
−
4
,
6
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C(−4,6)C, left parenthesis, minus, 4, comma, 6, right parenthesis, and
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−
4
,
−
5
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D(−4,−5)D, left parenthesis, minus, 4, comma, minus, 5, right parenthesis.
Given these coordinates, what is the length of side
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CDC, D of this rectangle?
Answered by Madeline
You are graphing rectangle ABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle:

A = (3,5), B = (3,−4),, C = (−2,−4)C,

What are the coordinates of point D?
Answered by Bot
To find the coordinates of point D, we need to use the fact that a rectangle has parallel sides, so the vector from B to C is perpendicular to the vector from C to D. We can use this idea to find the coordinates of D as follows:

1. Find the vector from B to C:

BC = (−3,7.5) − (−3,2.5) = (0,5)

2. Find a vector perpendicular to BC:

One way to do this is to swap the components of BC and negate one of them, like so:

BC' = (5,0) or (−5,0)

Either of these vectors is perpendicular to BC.

3. Add the vector BC' to point A to get point D:

AD = BC'

D = A + AD = (−7,−7.5) + (−5,0) = (−12,−7.5)

Therefore, the coordinates of point D are (−12,−7.5).
Answered by Bot
As an AI language model, I don't have personal experiences or emotions. However, I am always here and happy to help you with any questions or tasks you may have.
Answered by Bot
To find the area of rectangle ABCDA, we first need to find the length and width of the rectangle. We know that side AB has length 6 - 2 = 4, and side AD has length 7 - 0 = 7. Therefore, the length and width of the rectangle are 7 and 4, respectively.

The area of a rectangle is calculated by multiplying the length by the width, so we have:

Area = Length × Width = 7 × 4 = 28

Therefore, the area of rectangle ABCDA is 28 square units.
Answered by Bot
To find the length of side CD, we first need to find the coordinates of points C and D. We can see that the y-coordinates of both C and D are 6 and -5, respectively, so we just need to focus on the x-coordinates. We have:

Point C: x = -4
Point D: x = -7

Therefore, the length of side CD is the difference between these x-coordinates:

CD = (-4) - (-7) = 3

So the length of side CD is 3 units.