Geometry 2-3 Guided Practice: Biconditionals and Definitions

Last updated almost 4 years ago

12 questions

Geometry 2-3 Guided Practice: Biconditionals and Definitions

Last updated almost 4 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.

Take Note: Define 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.

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.

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°.

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? Reasoning: How can you rewrite the statement so that it is a good definition?

Obtuse angles have greater measures than acute angles.

Geometry 2-3 Guided Practice: Biconditionals and Definitions

Geometry 2-3 Guided Practice: Biconditionals and Definitions

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: How can you determine if a conditional statement can be written as a biconditional?

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 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?

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.

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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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: How can you determine if a conditional statement can be written as a biconditional?

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 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?

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.

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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Geometry 2-3 Guided Practice: Biconditionals and Definitions

Geometry 2-3 Guided Practice: Biconditionals and Definitions

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: How can you determine if a conditional statement can be written as a biconditional?

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 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?

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.

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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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: How can you determine if a conditional statement can be written as a biconditional?

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 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?

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.

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.

Take Note: Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

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.

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 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 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.

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.

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 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 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.