Question

Define Parallel Lines(1 point) Responses 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 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 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?(1 point) Responses 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 accepted as true and is not proven a statement that is accepted as true and is not proven 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 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 Question 4 What is an undefined term?(1 point) 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 statment that explains the meaning of a term or concept 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 term that does not need to be explained because it is explained using examples and descriptions 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 3,10,11 3,10,11 3,8,11 3,8,11 3,8,10 3,8,10 8,10,11

Answer 1

Here are the correct responses based on the questions given:

Question 1: Define Parallel Lines

• 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

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

Question 3: What is a definition?

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

Question 4: What is an undefined term?

• 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 below will make triangles according to the triangle inequality theorem? To determine which combinations will form triangles, we apply 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, 10, 11:
   3 + 10 > 11 (False)
   3 + 11 > 10 (True)
   10 + 11 > 3 (True)
   Not a triangle.

2. 3, 8, 11:
   3 + 8 > 11 (False)
   3 + 11 > 8 (True)
   8 + 11 > 3 (True)
   Not a triangle.

3. 3, 8, 10:
   3 + 8 > 10 (False)
   3 + 10 > 8 (True)
   8 + 10 > 3 (True)
   Not a triangle.

4. 8, 10, 11:
   8 + 10 > 11 (True)
   8 + 11 > 10 (True)
   10 + 11 > 8 (True)
   This combination does make a triangle.

Answer for Question 5:

• Correct Response: 8, 10, and 11.

In summary:

1. Two lines that will never intersect and that are the same distance apart because their slopes are equal.
2. Two lines that intersect to form a 90 degree angle.
3. A statement that explains the meaning of a term or a concept.
4. A term that does not need to be explained because it is explained using examples and descriptions.
5. 8, 10, 11 is the only combination that will make a triangle.