Geometry 2-3 Complete Lesson: Biconditionals and Definitions
By Matt Richardson
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Last updated about 3 years ago
25 Questions
10 points
10
Question 1
1.
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.
10 points
10
Question 2
2.
Take Note: Define biconditional.
Take Note: Define biconditional.
10 points
10
Question 3
3.
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?
10 points
10
Question 4
4.
Take Note: Provide an example of a biconditional statement.
Take Note: Provide an example of a biconditional statement.
10 points
10
Question 5
5.
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.
10 points
10
Question 6
6.
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.
10 points
10
Question 7
7.
Take Note: What are the three important components of a good definition?
Take Note: What are the three important components of a good definition?
10 points
10
Question 8
8.
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°.
10 points
10
Question 9
9.
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.
10 points
10
Question 10
10.
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.
10 points
10
Question 11
11.
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.
10 points
10
Question 12
12.
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10
Question 13
13.
10 points
10
Question 14
14.
10 points
10
Question 15
15.
Vocabulary: Explain how the term biconditional is fitting for a statement composed of two conditionals.
Vocabulary: Explain how the term biconditional is fitting for a statement composed of two conditionals.
10 points
10
Question 16
16.
Error Analysis: Why is the following statement a poor definition?
Elephants are gigantic animals.
Error Analysis: Why is the following statement a poor definition?
Elephants are gigantic animals.
10 points
10
Question 17
17.
Compare and Contrast: Which of the following statements is a better definition of a linear pair? Explain.
A linear pair is a pair of supplementary angles.
A linear pair is a pair of adjacent angles with noncommon sides that are opposite rays.
Compare and Contrast: Which of the following statements is a better definition of a linear pair? Explain.
A linear pair is a pair of supplementary angles.
A linear pair is a pair of adjacent angles with noncommon sides that are opposite rays.
10 points
10
Question 18
18.
Review Lesson 2-2: Identify the converse of the statement.
If you do not sleep enough, then your grades suffer.
Review Lesson 2-2: Identify the converse of the statement.
If you do not sleep enough, then your grades suffer.
5 points
5
Question 19
19.
Review Lesson 2-2: What is the truth value of a the contrapositive of a true conditional?
Review Lesson 2-2: What is the truth value of a the contrapositive of a true conditional?
5 points
5
Question 20
20.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
5 points
5
Question 21
21.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
5 points
5
Question 22
22.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
Review Lesson 2-1: What is the next term in the sequence? Enter only a number.
5 points
5
Question 23
23.
Vocabulary Review: Identify the hypothesis of the statement.
If it rains on Friday, I won't have to cut the grass on Saturday.
Vocabulary Review: Identify the hypothesis of the statement.
If it rains on Friday, I won't have to cut the grass on Saturday.
10 points
10
Question 24
24.
Use Your Vocabulary: Match each word on the left with its meaning on the right.
Use Your Vocabulary: Match each word on the left with its meaning on the right.
biplane (noun) | arrow_right_alt | occurring every two years |
bipartisan (adjective) | arrow_right_alt | a two-event athletic contest |
biathlon (noun) | arrow_right_alt | occurring every two hundred years |
biannually (adverb) | arrow_right_alt | having two coasts |
bicoastal (adjective) | arrow_right_alt | supported by two parties |
biweekly (adjective) | arrow_right_alt | a two-footed animal |
biped (noun) | arrow_right_alt | a plane with two sets of wings |
bicentennial (adjective) | arrow_right_alt | occurring every two weeks |
10 points
10
Question 25
25.
Reflection: Math Success
Reflection: Math Success