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Kruka [31]
3 years ago
14

A certain polygon has its vertices at the following points.

Mathematics
2 answers:
Step2247 [10]3 years ago
5 0

Answer:

D

Step-by-step explanation:

d

Paul [167]3 years ago
3 0

Answer:

\huge\boxed{\sf Rhombus}

Step-by-step explanation:

When we plot the given vertices on a graph, We get a shape which has the following characteristics.

=> Opposite angles are equal.

=> The diagonals are perpendicular to each other.

=> Opposite sides are parallel to each other.

=> Sum of adjacent angles in equal to 90 degrees.

But, the shape does not seem to be like pentagon, square and rectangle. Hence, It's a rhombus.

See the attached file!

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>

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Since the architect wants similar figures, it comes from the definition of similar triangles that the ratio of corresponding sides (all 3 sides) should be equal.

So,

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Let's find CB.

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Step-by-step explanation:

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2. Three points of a parallelogram are (4, 3), (-4, 3), and (2, 3). Find the coordinates of the 4th point to complete the parall
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Parallelograms have equal and parallel opposite sides

<em>The coordinates of the 4th point is (-2,3)</em>

Let the parallelogram be ABCD, such that:

A = (4,3)

B =(-4,3)

C = (2,3)

A and B have the same y-coordinates, while their x-coordinates are additive inverse

This means that:

The y-coordinates of point C and point D will be the same, while their x-coordinates will be additive inverse.

<u>For point C</u>

We have:

x = 2

y = 3

<u>For point D</u>

The coordinates would be:

x =- 2

y = 3

Hence, the coordinates of D is (-2,3)

Read more about parallelograms at:

brainly.com/question/9680084

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