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3 years ago

If the diagonals of a parallelogram from right angles,then the parallelogram is the rectangle

Mathematics

1 answer:

geniusboy [140]3 years ago

8 0

The statement above is false.

If the diagonals of a parallelogram form right angles, then the parallelogram is a rhombus (a rhombus is a quadrilateral with four equal side lengths).

Note* = by saying the statement is false is not saying that the scenario presented in the statement cannot occur. If the rectangle was a square, then its diagonals can form right angles since a square is also a rhombus. However, if a rectangle was NOT a square, its diagonals would not form right angles. A true statement is a statement where ALL cases fit the said requirement(s).

The statement can also be corrected by saying:

If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

All rectangles (even a square) have congruent diagonals, so this statement would be true.

Hope this helps!

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snow_tiger [21]

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<h3>How to describe the sum in terms of p and q?</h3>

The summation expression is given as:

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2 years ago

A quilted block users eight parallelogram shaped pieces of clothe each with a base of 3/3/4 inches. How much fabric is needed to

borishaifa [10]

Answer:

The answer to the question is

37.5 ft² of fabric is needed to make the parallelogram pieces for 24 blocks.

Step-by-step explanation:

To answer the question, we note that a parallelogram is a four sided polygon having two opposite parallel sides.

Therefore in this question, we select our parallelogram to be a rectangle

Number of pieces of parallelogram in a quilted block = 8

Number of parallelogram in each quadrant of the quilted block = 2

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since each quilted block uses 8 parallelogram, then the amount of fabric for each quilted block is

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