Geometry 2-3 Guided Practice: Biconditionals and Definitions
By Matthew Richardson
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Last updated over 3 years ago
12 questions
Solve It! Look at the examples of the insects and noninsects below. How would you complete the following sentence: "If an animal is an insect then..."? Explain your reasoning.
Solve It! Look at the examples of the insects and noninsects below.
How would you complete the following sentence: "If an animal is an insect then..."? Explain your reasoning.
Take Note: Define biconditional.
Take Note: Define biconditional.
Take Note: How can you determine if a conditional statement can be written as a biconditional?
Take Note: How can you determine if a conditional statement can be written as a biconditional?
Take Note: Provide an example of a biconditional statement.
Take Note: Provide an example of a biconditional statement.
Problem 1 Got It? What is the converse of the following true conditional? If the converse is also true, rewrite the statements as a biconditional.
If two angles have equal measure, then the angles are congruent.
Problem 1 Got It? What is the converse of the following true conditional? If the converse is also true, rewrite the statements as a biconditional.
If two angles have equal measure, then the angles are congruent.
Problem 2 Got It? What are the two conditionals that form this biconditional?
Two numbers are reciprocals if and only if their product is 1.
Problem 2 Got It? What are the two conditionals that form this biconditional?
Two numbers are reciprocals if and only if their product is 1.
Take Note: What are the three important components of a good definition?
Take Note: What are the three important components of a good definition?
Problem 3 Got It? Is the definition of straight angle reversible? If yes, write it as a true biconditional.
A straight angle is an angle that measures 180°.
Problem 3 Got It? Is the definition of straight angle reversible? If yes, write it as a true biconditional.
A straight angle is an angle that measures 180°.
Take Note: Describe how a counterexample can be used to identify poor definitions.
Take Note: Describe how a counterexample can be used to identify poor definitions.
Problem 4 Got It? Is the following statement a good definition? Explain.
A square is a figure with four right angles.
Problem 4 Got It? Is the following statement a good definition? Explain.
A square is a figure with four right angles.
Problem 4 Got It? Reasoning: How can you rewrite the statement so that it is a good definition?
Obtuse angles have greater measures than acute angles.
Problem 4 Got It? Reasoning: How can you rewrite the statement so that it is a good definition?
Obtuse angles have greater measures than acute angles.
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?