Choose the statement that is true.(1 point)

Question

Responses

Two congruent sides along with a third side larger than the congruent sides will always form a triangle.
Two congruent sides along with a third side larger than the congruent sides will always form a triangle.

Three sides of different measures will always form a triangle.
Three sides of different measures will always form a triangle.

Three congruent sides will sometimes form a triangle.
Three congruent sides will sometimes form a triangle.

Three congruent sides will always form a triangle.

Answer 1

The true statement is:

Three congruent sides will always form a triangle.

This is based on the fundamental properties of triangles, where if all sides are equal in length, they will indeed form a triangle (an equilateral triangle).

The other statements are not necessarily true:

• Two congruent sides with a third side larger than the congruent ones will not form a triangle, due to the triangle inequality theorem.
• Three sides of different measures may or may not form a triangle, depending on their lengths in relation to one another.