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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
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1 answer

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