Question

Josephine wanted to create a blueprint of her new rectangular garden she is planning on making in her backyard. She began to create the blueprint of the garden plotting the following points A(-5, 25), B(5, 25) and C(5,-25).

Part A: Find the area of the rectangular garden assuming the units are represented in feet.

Part B: Jenna wants to build a square, grass patch in the garden that initially is placed in Quadrant II. She wants to use reflections to move the patch from Quadrant II to Quadrant I. Discuss how she can do this.

Answer 1

A: 500 square feet

Explanation:

A: First you have to draw a grid.

You plot the points A,B, and C.

The fourth point would be -5,25 because it matches with the points.

You make a rectangle out of those points

Points AB is 2 feet. Since the interval I used was 5 I would multiply 2 by 5 to get 10.

Then I would find Points BC which is 10 feet. Again multiply it by 5 to get 50.

50 x 10 is 500.

B: Jenna has to reflect over the y-axis. This is because the y-axis is between Quadrants II and I. When reflecting over the y-axis the y-coordinate stays the same but the x-coordinate switches to it's opposite. Basically the x-coordinate is negative in Quadrant II, but in when reflecting over the y-axis the x-coordinate would change to a positive in Quadrant I. So if the point in Quadrant II looks like this: (-X,Y) then when reflecting over the y-axis to Quadrant I would look like this: (X,Y).