Question

Which statement is true about the given figure? (Note: The red hash marks denote the congruent sides. The small squares represent right angles.)a.) Triangle BFD is an acute scalene triangle.b.) Triangle BCF is a right isosceles triangle.c.) Triangle DEF is an obtuse scalene triangle.d.) Triangle ABF is an obtuse isosceles triangle.e.) Triangle BFE is an acute equilateral triangle.

Answer 1

So, let's judge the items one by one, to see which one is true:

a)Triangle BFD is an acute scalene triangle. False, the triangle is isosceles.

b)Triangle BCF is a right isosceles triangle. False, it is right, but scalene.

c) Triangle DEF is an obtuse scalene triangle. True, Angle EDF is the obtuse one.

d) Triangle ABF is an obtuse isosceles triangle. False, it's not isosceles.

e) Triangle BFE is an acute equilateral triangle.​ False, it's not equilateral.