1)Based on the conditional statement, under what conditions being met is tomorrow Tuesday?
2) Based on the conditional statement, if today is, in fact, Monday, then what can be concluded?
In problems 3-8, (a) name the hypotheses and (b) name the conclusion.
3) If you live in Naperville, then you live in Illinois.
4) If today is Friday, then I will wear red.
5) If the baby cries, then she is hungry.
6) If \(x + 3 = 5\), then \(x = 2\).
7) I will go swimming if the hotel has a pool.
8) I will work hard if I want to get an A.
Rewrite the following sentences in conditional (if... then... ) form.
9) Since tomorrow is Saturday, I will sleep in.
10) When \(y = 3x + 2\), the slope of the line is \(\Large\frac{3}{1}\).
11) I need to slow down at a yellow light.
12) The \(\sqrt{10}\) is between \(3\) and \(4\).
13) All right angles are \(90^{\circ}\).
14) All vertical angles are congruent.
In the following conditional statements and converses, determine if the converse is true or false.
15) Statement: If a pair of angles form a linear pair, then they are supplementary.
Converse: If a pair of angles are supplementary, then they form a linear pair.
16) Statement: If today is July 4th, then it is a holiday.
Converse: If today is a holiday, then it is July 4th.
17) Statement: If it is a dog, then it has four legs.
Converse: If it has four legs, then it is a dog.
18. Statement: If \(x = 5\), then \(2x = 10\).
Converse: If \(2x = 10\), then \(x = 5\).
19) Statement: If our team celebrates, then we won the game.
Converse: If we won the game, then our team celebrates.
20) Statement: If the forecast calls for rain, then I will wear a raincoat.
Converse: if I wear my raincoat, then the forecast calls for rain.
21) Statement: If today is Thursday, then tomorrow is Friday.
Converse: If tomorrow is Friday, then today is Thursday.
For each statement, write the converse (sentence), then determine if that converse is true or false.
22) If the angle is \(30^{\circ}\), then it is acute.
23) If it snows, then driving is hazardous.
24). If it is a cat, then it has paws.
25) If \(x = 7\), then \(x^2 = 49\).
Rewrite in conditional form, then write the converse, and finally determine if the converse is true or false.
26) Phynea won the election when she received more votes.
27) The baseball game will be Wednesday, provided there is no rain.
28) When \(x^{2 }+ 2x - 8 = 0\) then \(x = -4\) or \(x = 2\).
Review
29) Explain the difference between the geometric terms \(IA\) and \(\overline{IA}\).
30) Find two points that have a midpoint of \((-7, 2)\)
Solution Bank
2) Based on the conditional statement, if today is, in fact, Monday, then what can be concluded?
In problems 3-8, (a) name the hypotheses and (b) name the conclusion.
3) If you live in Naperville, then you live in Illinois.
4) If today is Friday, then I will wear red.
5) If the baby cries, then she is hungry.
6) If \(x + 3 = 5\), then \(x = 2\).
7) I will go swimming if the hotel has a pool.
8) I will work hard if I want to get an A.
Rewrite the following sentences in conditional (if... then... ) form.
9) Since tomorrow is Saturday, I will sleep in.
10) When \(y = 3x + 2\), the slope of the line is \(\Large\frac{3}{1}\).
11) I need to slow down at a yellow light.
12) The \(\sqrt{10}\) is between \(3\) and \(4\).
13) All right angles are \(90^{\circ}\).
14) All vertical angles are congruent.
In the following conditional statements and converses, determine if the converse is true or false.
15) Statement: If a pair of angles form a linear pair, then they are supplementary.
Converse: If a pair of angles are supplementary, then they form a linear pair.
16) Statement: If today is July 4th, then it is a holiday.
Converse: If today is a holiday, then it is July 4th.
17) Statement: If it is a dog, then it has four legs.
Converse: If it has four legs, then it is a dog.
18. Statement: If \(x = 5\), then \(2x = 10\).
Converse: If \(2x = 10\), then \(x = 5\).
19) Statement: If our team celebrates, then we won the game.
Converse: If we won the game, then our team celebrates.
20) Statement: If the forecast calls for rain, then I will wear a raincoat.
Converse: if I wear my raincoat, then the forecast calls for rain.
21) Statement: If today is Thursday, then tomorrow is Friday.
Converse: If tomorrow is Friday, then today is Thursday.
For each statement, write the converse (sentence), then determine if that converse is true or false.
22) If the angle is \(30^{\circ}\), then it is acute.
23) If it snows, then driving is hazardous.
24). If it is a cat, then it has paws.
25) If \(x = 7\), then \(x^2 = 49\).
Rewrite in conditional form, then write the converse, and finally determine if the converse is true or false.
26) Phynea won the election when she received more votes.
27) The baseball game will be Wednesday, provided there is no rain.
28) When \(x^{2 }+ 2x - 8 = 0\) then \(x = -4\) or \(x = 2\).
Review
29) Explain the difference between the geometric terms \(IA\) and \(\overline{IA}\).
30) Find two points that have a midpoint of \((-7, 2)\)
Solution Bank