Question

Write the coordinates of the vertices of a rectangle whose length and breadth are 5 and 3 unites respectively, one vertex at the origin, the longer side lies on the x-axis and one of the vertices lies on the third quadrant .

Answer 1

Answer:  (-5, -3)

Step-by-step explanation:

First, you need to understand where Quadrant III lies.

               Quadrant II ↓ ← ← ← ← ← ← Quadrant I

                                   ↓

                                   ↓

              Quadrant III ↓ → → → → → → Quadrant IV

Since the vertex lies in the bottom left corner of the graph with distance from the origin (0, 0) of 5 on the x-axis and 3 on the y-axis, we end up with (-5, 0) on the x-axis and (0, -3) on the y-axis.  To form a rectangle, the remaining vertex lies at (-5, -3).

         (-5, 0) o-----------------------o (0, 0)

                    |                            |

                    |                            |

                    |                            |

       (-5, -3) o-----------------------o (0, -3)

Answer 2

Solution:

As we can see according to the coordinate diagram, the length of the rectangle is 5 unit long in the negative x axis and negative 3 in the y axis, now with one vertex at origin.

Therefore there is 1 vertex that have their y coordinate as zero and other whose x coordinate is 0.

Hence, the value of two vertex that are on line with the axis are (-5, 0) and (0.-3).

To the value of x and y we use the coordinates (-5, 0) and (0, -3), as we can see the value of x axis is -5 and the value of y =3.  

Hence, the value of (x, y) = (-5, 3).  

And the other coordinates are (-5, 0) , (0,-3) and (0, 0)