a.
To prove: that ABCD is a kite.
a.
Answer to Problem 39CR
ABCD is a kite..
Explanation of Solution
Given:
The given figure is shown below
Calculation:
Let us consider ABCD is a kite. Then,
Now, find the length of the sides of the triangle by using the distance formula. Then,
Since,
Therefore, ABCD is a kite.
b.
To prove: that the figure formed by joining consecutive mid-points of the sides of ABCD is a rectangle.
b.
Answer to Problem 39CR
Explanation of Solution
Given:
The given figure formed by joining consecutive mid-points of the sides of ABCD is shown below:
Calculation:
Let
From the mid-point formula,
From the slope formula,
Thus,
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