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1 answer:
Answer:
"If the shape is not a rectangle, then the shape doesn't has four sides."
Step-by-step explanation:
Given conditional statement is,
" Is a shape has four sides, then the shape is a rectangle."
Here we have two statements:
Statement p → A shape has four sides
Statement q → The shape is a rectangle.
Contrapositive of the statement will be:
If then
.
Therefore, contrapositive will be,
"If the shape is not a rectangle, then the shape doesn't has four sides."
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Step 1
The property of a parallelogram is that diagonals of a parallelogram bisect each other and hence have the same midpoint.
This means that the diagonals cut themselves into two equal halves.
Hence, they must have the same mid-points.
Therefore, if we prove that AC and BD have the same midpoint, then ABCD is a parallelogram.
Step 2
Find the midpoint of BD and AC
Since they have the same midpoint, the answer will be;
We Prove that AC and BD have the same midpoint which we have done. we know the diagonals of a parallelogram bisect each other; therefore, they have the same midpoint and ABCD is a parallelogram.