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

Question

Question 1
Define Parallel Lines(1 point)
Responses

Two lines that will never intersect and that are the same distance apart because their slopes are equal
Two lines that will never intersect and that are the same distance apart because their slopes are equal

Two lines that intersect to form a 90 degree angle
Two lines that intersect to form a 90 degree angle

Any two lines that intersect
Any two lines that intersect
Question 2
Define perpendicular lines(1 point)
Responses

Two lines that will never intersect and are the same distance apart because their slopes are equal.
Two lines that will never intersect and are the same distance apart because their slopes are equal.

Any two lines that intersect
Any two lines that intersect

Two lines that intersect to form a 90 degree angle
Two lines that intersect to form a 90 degree angle
Question 3
What is a definition?(2 points)
Responses

a statement that is proved true using arguments and facts that are accepted as true
a statement that is proved true using arguments and facts that are accepted as true

a term that does not need to be explained because it is explained using examples and descriptions
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 explains the meaning of a term or a concept

a statement that is made based on observations yet is not proven
a statement that is made based on observations yet is not proven

a statement that is accepted as true and is not proven
a statement that is accepted as true and is not proven
Question 4
What is an undefined term?(2 points)
Responses

a term that does not need to be explained because it is explained using examples and descriptions
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 proved true using arguments and facts that are accepted as true

a statment that explains the meaning of a term or concept
a statment that explains the meaning of a term or concept

a statement that is based on observations but is not yet proven
a statement that is based on observations but is not yet proven

a statement that is accepted as true and is not proven
a statement that is accepted as true and is not proven
Question 5
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)
Responses

3,8,11
3,8,11

3,8,10
3,8,10

8,10,11
8,10,11

3,10,11

Answer 1

Here are the answers to the questions you provided:

Question 1: Define Parallel Lines (1 point)

• Correct Response: Two lines that will never intersect and that are the same distance apart because their slopes are equal.

Question 2: Define Perpendicular Lines (1 point)

• Correct Response: Two lines that intersect to form a 90 degree angle.

Question 3: What is a definition? (2 points)

• Correct Response: A statement that explains the meaning of a term or a concept.

Question 4: What is an undefined term? (2 points)

• Correct Response: A term that does not need to be explained because it is explained using examples and descriptions.

Question 5: How many of the combinations will make triangles according to the triangle inequality theorem? Pick ALL that apply (3 points) To apply the triangle inequality theorem, the sum of the lengths of any two sides must be greater than the length of the third side. Let's evaluate each option.

1. 3, 8, 11:

   • \(3 + 8 = 11\) (not greater than 11) → Not a triangle

2. 3, 8, 10:

   • \(3 + 8 = 11 > 10\)
   • \(3 + 10 = 13 > 8\)
   • \(8 + 10 = 18 > 3\) → Forms a triangle

3. 8, 10, 11:

   • \(8 + 10 = 18 > 11\)
   • \(8 + 11 = 19 > 10\)
   • \(10 + 11 = 21 > 8\) → Forms a triangle

4. 3, 10, 11:

   • \(3 + 10 = 13 > 11\)
   • \(3 + 11 = 14 > 10\)
   • \(10 + 11 = 21 > 3\) → Forms a triangle

• Correct Responses for the triangle combinations:
  • 3, 8, 10
  • 8, 10, 11
  • 3, 10, 11

Make sure to review the definitions and the triangle inequality theorem thoroughly to prepare for your test! Good luck!