Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over

Question

Mrrafil [7]

2 years ago

6

Point A is at (5, 6) on the coordinate plane. It is reflected over the y-axis to create point B. Point A is then reflected over

both axes to create point C. What is the area of the triangle that results from connecting the three points?

Mathematics

1 answer:

Virty [35] · Answer 1 · 2023-09-09T07:15:34+03:00

The area of the triangle which is formed as described is; 60.

<h3>What is the area of the triangle formed?</h3>

According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).

It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.

Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.