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.
Triangle Inequality Theorem
C.
Definition of a Triangle
D.
Definition of an Inequality
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.
No; 39 is greater than 13 + 21.
D.
Yes; 13 + 21 is less than 39.
Hint
3.
Marty has a piece of rope with exactly 7 knots tied at equal intervals as shown. Using the rope, he wants to make triangles so that each vertex of the triangle occurs at a knot. How many different triangles can Marty make?
A.
3
B.
1
C.
4
D.
2
Hint
4.
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall?
A.
10 and 35
B.
5 and 35
C.
15 and 20
D.
10 and 25
Hint
5.
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.
28 and 49
B.
31 and 67
C.
21 and 77
D.
10 and 60
Hint