Ask a New Question
Menu

A)

Which is an example of a conditional statement?
(1 point)
The angles of triangles add up to 180 degrees.
Vertical angles are always congruent
If two angles add up to 90 degrees, then they are complementary angles.
Today is Tuesday if and only if yesterday was Monday.
B) If both the conditional statement and its converse are true, the statements can be
combined to be written as a/an _______ (1 point)
Biconditional Statement
Contrapositive
Inverse
They cannot be combined.
C) The sentence "Triangles have three sides." is an example of a _________ (1 point)
Conditional Statement
Postulate / Definition
Biconditional Statement
Contrapositive

5 answers

A) The example of a conditional statement is:
If two angles add up to 90 degrees, then they are complementary angles.

B) If both the conditional statement and its converse are true, the statements can be combined to be written as a/an:
Biconditional Statement.

C) The sentence "Triangles have three sides." is an example of a:
Postulate / Definition.

A)
For the following questions, use the statement below.
If two angles are both 25 degrees, then they are congruent angles.
Which of the following is a converse of the statement?
(1 point)
If two angles are not 25 degrees, then they are not congruent angles.
If two angles are congruent, then they are both 25 degrees.
If two angles are not congruent angles, then they cannot both be 25 degrees.
None of the above.
B)
Which of the following is an inverse of the statement?
(1 point)
If two angles are not 25 degrees, then they are not congruent angles.
If two angles are congruent, they are both 25 degrees.
If two angles are not congruent angles, then they cannot both be 25 degrees.
None of the above.
C) Which of the following is a contrapositive of the statement? (1 point)
If two angles are not 25 degrees, then they are not congruent angles.
If two angles are congruent, they are both 25 degrees.
If two angles are not congruent angles, then they cannot both be 25 degrees.
None of the above.

A) The converse of the statement "If two angles are both 25 degrees, then they are congruent angles." is:
If two angles are congruent, then they are both 25 degrees.

B) The inverse of the statement "If two angles are both 25 degrees, then they are congruent angles." is:
If two angles are not 25 degrees, then they are not congruent angles.

C) The contrapositive of the statement "If two angles are both 25 degrees, then they are congruent angles." is:
If two angles are not congruent angles, then they cannot both be 25 degrees.

If it is Monday, then the library is closed. Today is Tuesday
(1 point)
The library is closed
The library is not closed
The library is neither open nor closed.
It is not possible to draw a conclusion.
B)
Draw a conclusion for the statement if possible.
If a coin is a quarter, then it is worth 25 cents. If a coin is worth 25 cents, then 4 would make
a dollar.
(1 point)
If I have a coin, then I have a quarter.
If a coin is a quarter, then 4 would make a dollar.
If it is worth 25 cents, it is a coin.
It is not possible to draw a conclusion.

A) Given the statement "If it is Monday, then the library is closed." and the information that "Today is Tuesday," we understand that we cannot conclude anything about whether the library is closed or open today. Therefore, the answer is:
It is not possible to draw a conclusion.

B) Given the statements "If a coin is a quarter, then it is worth 25 cents." and "If a coin is worth 25 cents, then 4 would make a dollar," we can chain the implications. If a coin is a quarter, then it is worth 25 cents, and if it is worth 25 cents, then 4 would make a dollar. Therefore, we can conclude:
If a coin is a quarter, then 4 would make a dollar.