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3 years ago

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

Mathematics

2 answers:

kompoz [17]3 years ago

5 0

Consider definitions of parallelogram, trapezoid, rectangle, kite and rhombus.

Parallelogram is a quadrilateral with two pairs of parallel opposite sides.

Trapezoid is a quadrilateral with one pair parallel opposite sides, trapezoid is not parallelogram, so option 1 is false.

Rectangle is a parallelogram with all angles right. Rectangle has diagonals that are congruent. Option 2 is true.

Kite is a quadrilateral with two pairs of congruent adjacent sides. Kite is not parallelogram, so option 3 is false.

Rhombus is a parallelogram with all sides congruent. The diagonals of the rhombus are not congruent, but they are perpindicular bisectors of each other. Option 4 is false.

Answer: correct choice is option 2

MariettaO [177]3 years ago

3 0

Answer: B - Rectangle

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Furkat [3]

Given:

Sides of triangles in the options.

To find:

Which could NOT be the lengths of the sides of a triangle.

Solution:

Condition for triangle:

Sum of two smaller sides of a triangle must be greater than the longest side.

In option A,

$5+5=10>5$

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.

In option B,

$10+15=25>20$

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.

In option C,

$3+4=7>5$

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.

In option D,

$8+5=13$

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.

Therefore, the correct option is D.

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3 years ago

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strojnjashka [21]

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3 years ago

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kotykmax [81]

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3 years ago

Square root of 48a^6b^5

DiKsa [7]

Answer:

4a³b²√(3b)

Step-by-step explanation:

Even powers of any of the factors can be brought out from under the square root radical.

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2 years ago

5th grade math. correct answer will be marked brainliest.

Anuta_ua [19.1K]

Answer:

1 7/30

Step-by-step explanation:

3 - (1 1/6 + 3/5) =

3 - (1 5/30 + 18/30) =

3 - 1 23/30 =

1 7/30

Hope that helps!

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3 years ago