Question

A triangle is formed by first plotting a point at (3, 4) on the coordinate plane. The second point is a reflection of the first across the x-axis. The third point is a reflection of the first point across both axes. If the distance between the first point and the third point 10 units, what is the perimeter of the triangle formed?

14 units
34 units
24 units
18 units

Answer 1

24

Explanation:

Answer 2

Your answer would be 24 units, as a reflection across the X axis would make the 2nd point be located at (3,-4), putting it at 8 away from the first point. the next would be at (-3,-4), making it be 6 away from the 2nd point. the use the pythagorean theorem to calculate the distance between the first and third point. 8^2+6^2=100, then take the square root of that, which is 10, and you have the distance of the final side. 8+6+10=24