Question

In the figure shown, the measures of all angles are equal, and AB = EF.

There are two solid triangles, triangle ABC and triangle DEF.

What type of triangle is △ABC?
What type of triangle is △EFG?
Select all that apply.
A. △ABC: right; △EFG: right
B. △ABC: equilateral; △EFG: equilateral
C. △ABC: isosceles; △EFG: isosceles
D. △ABC: scalene; △EFG: scalene
E. none of the above

Answer 1

Answer:

  B. △ABC: equilateral; △EFG: equilateral

  C. △ABC: isosceles; △EFG: isosceles

Step-by-step explanation:

A triangle in which all angles are equal is an equilateral triangle. Any equilateral triangle is also an isosceles triangle (two sides/angles have the same measure).

The two triangles are both equilateral (B) and isosceles (C).

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Additional comment

The angles of an equilateral triangle are all 60°. The sides are all the same length. A right triangle will have an angle of 90°, so the given triangles cannot be right triangles. A scalene triangle has all angles/sides different measures, so the given triangles cannot be scalene.