2. Which of the following are the coordinates of the vertices of the following square with sides of length a?

Answer:
The first option: O(0,0) , S(0,a) , T(a,a) , W(a,0)
Step-by-step explanation:
Point O : is the intersection between x-axis and y-axis ⇒ (0,0)
Point W : is falling over the x-axis, OW = length of the square = a ⇒ (a,0)
Point S : is falling over the y-axis, OS = length of the square = a ⇒ (0,a)
Point T : WT = a and SW = a ⇒ (a,a)
The coordinates of the four vertices are;
O(0,0), W(a, 0), T(a, a), S(0, a)
We can see that point O is at the origin of the axis. Thus;
Coordinate of point O is (0, 0)
We are told that the sides of the square is a.
Thus; OW = OS = WT = ST = a
Thus;
The y coordinate of point S is a
The y coordinate of point T is a
The x coordinate of point W & T is a
The y coordinate of W is 0
Thus, the coordinates of the points are;
O(0,0), W(a, 0), T(a, a), S(0, a)
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