Which is an example of a conditional statement?
A If two angles add up to 90 degrees, then they are complementary angles.
B Vertical angles are always congruent.
C The angles of triangles add up to 180 degrees.
2. If both the conditional statement and its converse are true, the statements can be combined to be written as a/an _______(2 points)
A Contrapositive
B Geometric Phenomenon
C Biconditional Statement
D Anomaly, so don't trust it
3. The sentence "Triangles have three sides." is an example of a _________(2 points)
A Biconditional Statement
B Conditional Statement
C Postulate / Definition
D False Hypothesis
1. A If two angles add up to 90 degrees, then they are complementary angles.
2. C Biconditional Statement
3. B Conditional Statement
1. Example of a conditional statement:
A If two angles add up to 90 degrees, then they are complementary angles.
2. If both the conditional statement and its converse are true, the statements can be combined to be written as a/an:
C Biconditional Statement
3. The sentence "Triangles have three sides." is an example of a:
C Postulate / Definition
1. Example of a conditional statement:
A If two angles add up to 90 degrees, then they are complementary angles.
To determine if a statement is a conditional statement, look for the "if-then" structure. In this example, the statement begins with "If two angles add up to 90 degrees" (the "if" part) and is followed by "then they are complementary angles" (the "then" part). The "if" part is the hypothesis, and the "then" part is the conclusion.
2. If both the conditional statement and its converse are true, the statements can be combined to be written as a/an _______
C Biconditional Statement
A biconditional statement combines a conditional statement and its converse using the phrase "if and only if". If the original conditional statement and its converse are both true, then you can form a biconditional statement by connecting them with "if and only if". It expresses that both statements are logically equivalent and that one implies the other.
3. The sentence "Triangles have three sides." is an example of a _________
A Biconditional Statement
In this case, the sentence "Triangles have three sides" is a universally true statement that describes the definition of a triangle. Since all triangles by definition have three sides, it can be written as a biconditional statement using "if and only if".