Question

Carlos draws a square on a coordinate plane. One vertex is located at (5, 3). The length of each side is 3 units. Which of the following ordered pairs could be another vertex? brainly

Answer 1

Answer:

Step-by-step explanation:

What we can consider on the points is taking the given point(s) on the graph.

So, (5,3) on a graph is 5 of x axis and 3 of y axis.

If the length is 3 cm, we can consider another point as (2,3)

Reason:-

• On x- axis, 5-3 = 2, so  one point we got is 2 of x axis. Since the unit required is 3, so we can write one of the points as (2,3)

We already have got 2 points. Rest 2 points are on the origin, which should be (2,0) and (5,0)

Reason:-

• x coordinates justified, are simply replaced.

So, the required coordinates are (5,3)(2,3)(2,0)(5,0).

Apply distance formula for verification:-

Distance in (2,3) and (2,0) is 3 units.

Distance in (2,3) and (5,3) is 3 units

Distance in (2,0) and (5,0) is 3 units

Distance in (5,3) and (5,0) is 3 units.

Hence, it is a square.

[Graph Courtesy - Desmos]