The given quadrilateral is a kite.
Given: Point A (2, 4), B (-2, -5), C (7, -1) and D (7, 4)
Firstly, we find the distance between AD and DC
AD = 
⇒ AD = 
⇒ AD = 5
DC = 
⇒ DC =
⇒ DC = 5
Hence, AD = DC = 5
Now, find the distance between AB and BC
AB = 
⇒ AB = 
⇒ AB = 
⇒ AB = 
BC = 
⇒ BC = 
⇒ BC = 
⇒ BC =
Hence, AB = BC = √97
In the given quadrilateral, the two pair is of equal length and these sides are adjacent to each other.
Hence, it follows the property of kite.
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A^2+b^2=c^2
Is the Pythagorean theorem
Answer:
60 m^2
Step-by-step explanation:
To solve the area, solve the triangle and rectangle separately.
Solve the rectangle:
Multiply 10 and 4 to get the area of 40 m^2.
Solve the triangle:
Multiply 10 and 4, then divide by 2. The formula for a triangle's area is base*height/2. The area is 20.
Add together:
40+20 = 60 m^2
Answer: all points 
that satisfy 
Step-by-step explanation:
The slope of the line is
So, substituting into point-slope form, the equation is
Therefore, all points that satisfy will lie on the same line.
