1.
The _______________ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
A.
Triangle Equality Theorem
B.
Definition of an Inequality
C.
Triangle Inequality Theorem
D.
Definition of a Triangle
Hint
2.
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain
A.
Yes; the sides of the triangle are not all the same lengths.
B.
No; 13 is less than 21 + 39.
C.
Yes; 13 + 21 is less than 39.
D.
No; 39 is greater than 13 + 21.
Hint
3.
If the measures of two sides of a triangle are 3 and 1, between what two numbers must the measure of the third side fall?
A.
2 and 5
B.
2 and 4
C.
1 and 3
D.
1 and 7
Hint
4.
If 28 and 49 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
A.
10 and 60
B.
21 and 77
C.
31 and 67
D.
28 and 49
Hint
5.
Ed has a piece of rope with exactly 10 knots tied to make 9 equal lengths as shown. Using the rope, he wants to use the entire rope to make a triangle so that each vertex of the triangle occurs at a knot. How many different triangles can Ed make?
A.
5
B.
2
C.
3
D.
4
Hint