1. Which is an example of a conditional statement?
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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 _______
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Biconditional Statement
Anomaly, so don't trust it
Geometric Phenomenon
Contrapositive
3. The sentence "Triangles have three sides." is an example of a _________
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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?
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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?
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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?
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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.
3 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 answer