Question

The vertices of triangle DEF are D(7, 3), E(4, -3), and F(10, -3). Write a paragraph proof to prove that triangle DEF is isosceles.

Answer 1

I am given that the vertices of triangle DEF are D(7, 3), E(4, -3), and F(10, -3). Applying the distance formula to each pair of vertices in the triangle gives the following:

Two of the sides, DE and DF, have the same length. So, by definition of an isosceles triangle, triangle DEF is isosceles.

Answer 2

The vertices of triangle DEF are D(7, 3), E(4, -3), and F(10, -3).

By applying the distance formula to each pair of vertices in the triangle we get to know that two of the sides, DE and DF, have the same length.

So, by definition of an isosceles triangle, triangle DEF is isosceles.

What are the 3 properties of an isosceles triangle?

1. Two sides are congruent to each other.
2. The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
3. The two angles opposite to the equal sides are congruent to each other.

Learn more about the isosceles triangle here: https://brainly.com/question/11884412

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