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3 years ago

Each of the following statements describes a quadrilateral. Which of the quadrilaterals are NOT parallelograms? Choose three.

Mathematics

2 answers:

dimaraw [331]3 years ago

8 0

Answer: The answer is 1, 2 and 4.

Step-by-step explanation:

(1) The quadrilateral with congruent diagonals but no angle is a right angle is an ISOSCELES TRAPEZOID. So, this will not be a parallelogram.

(2) The quadrilateral with two consecutive congruent sides and is not a rhombus is a KITE. So, this will not be a parallelogram

(3) A quadrilateral with each diagonal 3 cm long and two opposite sides 2 cm long will be a RECTANGLE. So, this will be a parallelogram.

(4) A quadrilateral with two opposite angles as right angles is not a rectangle will be a KITE. so, this will also be not a parallelogram.

(5) A quadrilateral in which one diagonal is a perpendicular bisector of the other will be a SQUARE. So, this will be a parallelogram.

Thus, (1), (2) and (4) are the correct options.

Elina [12.6K]3 years ago

4 0

1 st 2nd and 4th are NOT parallelograms.

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Please explain your answer. Thank you!

Liula [17]

Answer:

Step-by-step explanation:

Let length of rectangle be "l"

Let width of rectangle be "w"

We know,

LENGTH is 2 MORE THAN WIDTH, we can write:

l = w + 2

Also, note the perimeter is the sum of all 4 sides of a rectangle, thus:

length + width + length + width

Now,

The perimeter is given as 72, so we can write:

l + l + w + w = 72

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We have 2 equations that we need to solve and find the length (l).

The first equation is:

l = w + 2

Rearranging, we have:

w = l - 2

We put this into 2nd equation and find the value of l:

$2l + 2w = 72\\2l + 2(l-2) = 72\\2l+2l-4=72\\4l-4=72\\4l=76\\l=\frac{76}{4}\\l=19$

The length is 19 meters, the correct answer is C

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