Question

Marc folded a rectangular sheet of paper, ABCD, in half along EF. He folded the resulting square diagonally and then unfolded the paper to create the creases shown.

a. use the pythagorean theorem to find DE and CE

b. what is the m
c. classify triangle DEC by its side lengths and by its angle measures

Answer 1

a. DE = √(5² + 5²) = √(25 + 25) = √50

= 5√2

CE = DE = 5√2

b. The slope of DE is 1, and the slope of CE

is -1.

c. Triangle DEC is a right isosceles triangle.