A parallelogram is defined as a quadrilateral which has two pairs of parallel sides.

You are watching: Which set of vertices forms a parallelogram

Attached is shown in the parallelogram obtained by plotting the vertices provided in Option C.

If that figure is a parallelogram, then:

Let”s check this:

Therefore, the set of vertices that forms a parallelogram is:

Option 3rd is correct

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram

Step-by-step explanation:

Slope formula is given by:

Properties of the parallelogram:

Opposite sides are equal and parallel.Diagonals are unequalSlope of the opposite sides are equal.Opposite angles are equal.

Consider the set of vertices:

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)

Apply the slope formula:

Similarly for BC;

and

⇒Slope of AB =Slope of CD and Slope of BC = Slope of AD

By property of parallelogram:

⇒A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram

Answer from: ggg509

Step-by-step explanation:

Option 3 is correct

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram

Step-by-step explanation:

Slope formula is given by:

slope = y2-y1

over x2-x1

Properties of the parallelogram:

Opposite sides are equal and parallel.Diagonals are unequalSlope of the opposite sides are equal.Opposite angles are equal.Consider the set of vertices:

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0)

⇒Slope of AB =Slope of CD and Slope of BC = Slope of AD

By property of parallelogram:

⇒A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) set of vertices forms a parallelogram

Answer from: abigail2403

The answer is A. Have a good day.

Step-by-step explanation:

Answer from: mayasofia

A(-5, -2), B(-3, 3), C(3, 5), D(1, 0 is the correct answer.so for answering it late

Answer from: aalejah25

For a set of vertices to form a parallelogram, the opposite sides must be equal in length and slope. The length can be calculated using the distance formula and slope using the slope formula. Among the choices, the answer isA(2,4), B(3, 3), C(6, 4), D(5, 6)

Answer from: magicallyhello

The answer to your question is C.

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