Question

What type of quadrilateral has the vertices A(3 , 6), B(3 , 3), C(6 , 3),and D(6 , 6)

Answer 1

Answer:

It is a square.

Step-by-step explanation:

Background:

With this, lets find the distance between each of the shape's points, in order to find which shape it is.

Here's the distance formula, its a bit overkill for what you're doing right now, but it may help you with questions later on.

d=√(x2​−x1​)2+(y2​−y1​)2

Process:

​So with this, compare the distance between each of the points. With Point A, it is (3, 6) with Point B it is (3,3). The change between these two points is down 3.

Next, with Point B (3,3) and Point C (6,3). The change between these two points is right 3.

Then, with Point C (6,3) and Point D (6,6). The change between these two points is up 3.

Last, with Point D (6,6) and Point A (3,6). The change between these two points is left 3.

Reasoning:

From this, we can see that all of the distance lengths are 3 units and that each of them create 90 degree angle turns*.

*You can find this by noting that the total amount of a rotation is 360 degrees, so when you change walking from up to the right, you are turning 90 degrees to do so.

Answer:

With this information in mind, it can be named a square given the definition of square:

"A regular quadrilateral, which means that it has four equal sides and four equal angles."

https://en.wikipedia.org/wiki/Square