Question

Roland made a scale drawing of a rectangular flower garden. The scale factor used was 1 in = 3/4. The coordinates of three of the vertices of the scale drawing are (-3, 3) (2, 3) (2, 1). What are the coordinates of the fourth vertex

Answer 1

Answer:

The coordinates of D are (-3,1).

Step-by-step explanation:

The rectangle in the scale drawing has three vertices at A(-3,3), B(2,3) and C(2,1). Now, the coordinates of the fourth vertex D(h,k) are required to find out.

If we plot points A, B, C on the coordinate plane then we will see that line AB is parallel to the x-axis at a distance of +3 units.

Then being a rectangle CD line will be parallel to AB i.e. parallel to the x-axis at a distance of +1 unit {Since the coordinates of C are (2,1).

So, we can say the coordinates of D are (h,1).

Again, line BC is parallel to the y-axis at a distance of +2 units. Then the DA line will be parallel to BC i.e. parallel to the y-axis at a distance of -3 unit {Since the coordinates of A are (-3,3).

So, we can say the coordinates of D are (-3,1). (Answer)