Question

Two opposite vertices of a square are ( 1 , - 2 ) and ( -5 , 6 )

then the other two vertices are ?

Answer 1

Answer:

We are asked to find the remaining two vertices of the parallelogram, if two of it's given opposite vertices are (1,-2) and (-5,6). Let us take a look on how to solve it.

Step-by-step explanation:

Given: Two vertices of a square = (1,-2) and (-5,6)

To find: Remaining two vertices.

Now, as the question revolves around cartesian plane, we can approach towards the answer through two different methods, that are algebraic method and geometrical method. Approaching through Algebraic method gives correct answer but the method is pretty lengthy, confusing as well as time-taking. Hence, we'll go for the shorter and more accurate method which is geometrical. The attached image file would be helpful in understanding the concept better.

As for geometrical method, first, we'll locate given coordinates in the cartesian plane. After that, we'll try to find the coordinates which will complete the parallelogram by applying appropriate techniques. Hence, this way we'll find our coordinates or remaining vertices of parallelogram.

The remaining vertices would be (1,6) as well as (-5,-2).

Answer 2

The answer is, remaining vertices would be (1,6) as well as (-5,-2).

• We are asked to find the remaining two vertices of the parallelogram, if two of it's given opposite vertices are (1,-2) and (-5,6). Let us take a look on how to solve it.

What are opposite vertices?

• Two vertices of a polygon with an even number of sides that have the same number of sides between them along either path around the polygon from one vertex to the other.

What is the opposite side?

• In a right triangle, the hypotenuse is the longest side, an "opposite" side is the one across from a given angle, and an "adjacent" side is next to a given angle.
• We use special words to describe the sides of right triangles. The hypotenuse of a right triangle is always the side opposite the right angle.

According to the question:

Given: Two vertices of a square = (1,-2) and (-5,6)

• Now, as the question revolves around cartesian plane, we can approach towards the answer through two different methods, that are algebraic method and geometrical method.

• Approaching through Algebraic method gives correct answer but the method is pretty lengthy, confusing as well as time-taking. Hence, we'll go for the shorter and more accurate method which is geometrical.

• The attached image file would be helpful in understanding the concept better.

• As for geometrical method, first, we'll locate given coordinates in the cartesian plane.

• After that, we'll try to find the coordinates which will complete the parallelogram by applying appropriate techniques.

Hence, this way we'll find our coordinates or remaining vertices of parallelogram.The remaining vertices would be (1,6) as well as (-5,-2).

Learn more about opposite vertices here,

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