These are to help you prepare for the short answer questions on your upcoming test. Make sure that you

Question

have each of the definitions in your notes and that you know how to use the triangle inequality theorem in
order to be prepared for your test.
A) Define Parallel Lines (1 point)
Any two lines that intersect
Two lines that intersect to form a 90 degree angle
Two lines that will never intersect and that are the same distance apart because their slopes are
equal
B) Define perpendicular lines (1 point)
Two lines that will never intersect and are the same distance apart because their slopes are
equal.
Any two lines that intersect
Two lines that intersect to form a 90 degree angle
C) What is a definition? (1 point)
a statement that is made based on observations yet is not proven
a statement that is accepted as true and is not proven
a term that does not need to be explained because it is explained using examples and
descriptions
a statement that explains the meaning of a term or a concept
a statement that is proved true using arguments and facts that are accepted as true
D) What is an undefined term? (1 point)
a statement that is based on observations but is not yet proven
a statment that explains the meaning of a term or concept
a term that does not need to be explained because it is explained using examples and
descriptions
a statement that is proved true using arguments and facts that are accepted as true
a statement that is accepted as true and is not proven
E) Sarah has toothpicks that are 4 different lengths, 3 in, 8in, 10in, 11in. She is trying to make
as many triangles as she can. How many of the combinations below will make triangles
according to the triangle inequality theorem? Pick ALL that apply (3 points)
3,8,11
3,10,11
8,10,11
3,8,10

Answer 1

Here are the answers to your questions:

A) Define Parallel Lines (1 point)
Correct Answer: Two lines that will never intersect and that are the same distance apart because their slopes are equal.

B) Define Perpendicular Lines (1 point)
Correct Answer: Two lines that intersect to form a 90 degree angle.

C) What is a definition? (1 point)
Correct Answer: a statement that explains the meaning of a term or a concept.

D) What is an undefined term? (1 point)
Correct Answer: a term that does not need to be explained because it is explained using examples and descriptions.

E) How many of the combinations below will make triangles according to the triangle inequality theorem? Pick ALL that apply (3 points)
To determine which combinations can form triangles, use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

1. 3, 8, 11:
   \(3 + 8 = 11\) (not greater than 11) → Does not form a triangle.

2. 3, 10, 11:
   \(3 + 10 = 13 > 11\) → Forms a triangle.

3. 8, 10, 11:
   \(8 + 10 = 18 > 11\) → Forms a triangle.

4. 3, 8, 10:
   \(3 + 8 = 11 > 10\) → Forms a triangle.

Correct Combinations: 3, 10, 11; 8, 10, 11; 3, 8, 10 (3 combinations that form triangles).