Respuesta :
Answer:
the slopes of DE and EF are opposite reciprocals make the triangle Δ DEF a right triangle.
Step-by-step explanation:
The characteristics will prove that Δ DEF is a right isosceles triangle is the lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
Now, the equal sides of DE = EF make the triangle Δ DEF an isosceles triangle and the slopes of two perpendicular lines are always the opposite reciprocals.
So the correct answer would be: The lengths of DE and EF are congruent, and their slopes are opposite reciprocals.
A right-angle triangle with two equal sides forming that right angle must be a right isosceles triangle.
What is a right isosceles triangle?
A triangle that has a right-angle and two equal sides is called a right-isosceles triangle.
Characteristics will prove that ΔDEF is a right isosceles triangle are as follows:
1. A right isosceles triangle must have a right angle.
2. Two sides of it must be equal. Obviously, the hypotenuse is the biggest side of the triangle. Apart from the hypotenuse, other two sides must be same. It will make their slope with the hypotenuse equal. Hence, the triangle will be also be isosceles.
Learn more about a right isosceles triangle here: https://brainly.com/question/21881466
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