Question
1 of 41 of 4 Items
Feature
Video Player
Question 1
Which is an example of a conditional statement?
(1 point)
Responses which answers are correct and why
The angles of triangles add up to 180 degrees.
The angles of triangles add up to 180 degrees.
Vertical angles are always congruent
Vertical angles are always congruent
If two angles add up to 90 degrees, then they are complementary angles.
If two angles add up to 90 degrees, then they are complementary angles.
Today is Tuesday if and only if yesterday was Monday.
Today is Tuesday if and only if yesterday was Monday.
Question 2
If both the conditional statement and its converse are true, the statements can be combined to be written as a/an _______(1 point)
Responses
Biconditional Statement
Biconditional Statement
Contrapositive
Contrapositive
Inverse
Inverse
They cannot be combined.
They cannot be combined.
Question 3
The sentence "Triangles have three sides." is an example of a _________(1 point)
Responses
Conditional Statement
Conditional Statement
Postulate / Definition
Postulate / Definition
Biconditional Statement
Biconditional Statement
Contrapositive
Contrapositive
Skip to navigation
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Let's break down the questions one by one:
### Question 1:
**Which is an example of a conditional statement?**
The correct response is:
- **If two angles add up to 90 degrees, then they are complementary angles.**
**Explanation:** A conditional statement is typically in the form "If [hypothesis], then [conclusion]." The other options do not fit this format.
### Question 2:
**If both the conditional statement and its converse are true, the statements can be combined to be written as a/an _______.**
The correct response is:
- **Biconditional Statement**
**Explanation:** A biconditional statement is formed when both the original conditional and its converse are true, typically stated as "If and only if."
### Question 3:
**The sentence "Triangles have three sides." is an example of a _________.**
The correct response is:
- **Postulate / Definition**
**Explanation:** This sentence is a definition of a triangle, making it a postulate or definition rather than a conditional statement.
So, to summarize:
1. If two angles add up to 90 degrees, then they are complementary angles.
2. Biconditional Statement
3. Postulate / Definition
### Question 1:
**Which is an example of a conditional statement?**
The correct response is:
- **If two angles add up to 90 degrees, then they are complementary angles.**
**Explanation:** A conditional statement is typically in the form "If [hypothesis], then [conclusion]." The other options do not fit this format.
### Question 2:
**If both the conditional statement and its converse are true, the statements can be combined to be written as a/an _______.**
The correct response is:
- **Biconditional Statement**
**Explanation:** A biconditional statement is formed when both the original conditional and its converse are true, typically stated as "If and only if."
### Question 3:
**The sentence "Triangles have three sides." is an example of a _________.**
The correct response is:
- **Postulate / Definition**
**Explanation:** This sentence is a definition of a triangle, making it a postulate or definition rather than a conditional statement.
So, to summarize:
1. If two angles add up to 90 degrees, then they are complementary angles.
2. Biconditional Statement
3. Postulate / Definition
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.