Suppose you were to cut six pieces from straws: two pieces that are 2 inches long, two that are 4 inches long, and two that are 5 inches long. Also cut two pieces of string that are each about 20 inches long. Thread one piece of string in each size of straw. Tie the ends of the string together so the pieces of straw form a triangle.

a.No, the lengths of the string are both 20 inches, so the triangle must be congruent.
b.Yes, you can make at least 5 different triangles.
c.Yes, the order in which you put the pieces on the string makes a difference.
d.No, the triangles are congruent by SSS.

Question

Suppose you were to cut six pieces from straws: two pieces that are 2 inches long, two that are 4 inches long, and two that are 5 inches long. Also cut two pieces of string that are each about 20 inches long. Thread one piece of string in each size of straw. Tie the ends of the string together so the pieces of straw form a triangle.

a.No, the lengths of the string are both 20 inches, so the triangle must be congruent.
b.Yes, you can make at least 5 different triangles.
c.Yes, the order in which you put the pieces on the string makes a difference.
d.No, the triangles are congruent by SSS.

anonymous · Answer

For a, perimeter length doesn't determine congruence, each side has to be the same length as it's corresponding side in the other triangle.