1. Which is an example of a conditional statement?
*
The angles of triangles add up to 180 degrees.
Option 2
Vertical angles are always congruent.
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 _______
*
Biconditional Statement
Anomaly, so don't trust it
Geometric Phenomenon
Contrapositive
3. The sentence "Triangles have three sides." is an example of a _________
*
Conditional Statement
Postulate / Definition
False Hypothesis
Biconditional Statement
For the following questions, use the statement below.
If two angles are both 25 degrees, then they are congruent angles.
4. Which of the following is a converse of the statement?
*
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.
5. Which of the following is an inverse of the statement?
*
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.
6. Which of the following is a contrapositive of the statement?
*
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.
If two angles are congruent, then they are both 25 degrees.
please answer all questions
I apologize for missing some of the questions. Here are the complete answers:
1. The statement "If two angles add up to 90 degrees, then they are complementary angles" is an example of a conditional statement.
2. If both the conditional statement and its converse are true, the statements can be combined to be written as a biconditional statement.
3. The sentence "Triangles have three sides." is an example of a postulate/definition.
4. 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."
5. The inverse of the statement "If two angles are both 25 degrees, then they are congruent angles" is "If two angles are not both 25 degrees, then they are not congruent angles."
6. 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 are not both 25 degrees."
1. If two angles add up to 90 degrees, then they are complementary angles.
2. Biconditional Statement
3. Postulate / Definition
4. If two angles are congruent, then they are both 25 degrees.
5. If two angles are not congruent angles, then they cannot both be 25 degrees.
6. If two angles are not 25 degrees, then they are not congruent angles.
1. The example of a conditional statement is "If two angles add up to 90 degrees, then they are complementary angles." To determine this, we can identify the structure of a conditional statement, which consists of an "if-then" format. In this case, the "if" part states that two angles add up to 90 degrees, and the "then" part states that they are complementary angles.
2. If both the conditional statement and its converse are true, they can be combined to form a biconditional statement. To determine this, we need to understand the components involved. The converse of a conditional statement is formed by switching the positions of the "if" and "then" parts. If both the conditional statement and its converse are true, we can infer that the statement is bidirectional or if and only if (iff), which is represented by a biconditional statement.
3. The sentence "Triangles have three sides" serves as an example of a definition or postulate. This statement is simply a fact that defines what a triangle is. It is not a conditional statement since it does not involve an "if-then" structure or any conditionality.
4. 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." To obtain the converse, we swap the positions of the "if" and "then" parts while retaining the same content.
5. 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." To derive the inverse, we negate both the "if" and "then" parts of the conditional statement.
6. 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." To determine the contrapositive, we negate both the "if" and "then" parts of the converse statement.
Note: The answers provided here are based on the information given in the questions. If additional information or context is provided, the answers may vary.