Determining if a set of points makes a parallelogram or not

Determining if a set of points makes a parallelogram or not

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial guides students through determining if a shape is a parallelogram using the slope formula. It emphasizes the importance of plotting and labeling points, calculating slopes for opposite sides, and verifying parallelism. The tutorial concludes that the given shape is not a parallelogram due to non-parallel opposite sides.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in determining if a set of points forms a parallelogram?

Calculate the area of the shape

Plot the points and label them

Find the midpoint of each side

Check if all angles are right angles

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to determine if sides are parallel in a parallelogram?

Distance formula

Slope formula

Area formula

Midpoint formula

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of point D in the given problem?

(0, 5)

(5, 0)

(1, -2)

(-6, 4)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the slope of side DC is 3/2, what is the slope of side AB?

5/3

1/2

-9/5

3/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What conclusion can be drawn if opposite sides of a quadrilateral are not parallel?

The shape is not a parallelogram

The shape is a square

The shape is a rectangle

The shape is a parallelogram