Title: Lesson 8
Course: quiz duplicate error

Q: If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 9, then 7x – 2 = 61.
Statement 2: x = 9
- 7x – 2 = 61
- x = 9
- If 7x – 2 = 61, then x = 9.
- not possible
A: 7x – 2 = 61

Q: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
[Image] and [Image] are congruent.
- [Image] + [Image] = 90
- [Image] = [Image]
- [Image] is the complement of [Image].
- [Image]
A: [Image] = [Image]

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Driving is difficult if the weather is stormy.
Driving is difficult.
- The weather is stormy.
- The weather is not stormy.
- If driving is difficult, then the weather is stormy.
- not possible
A: not possible

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. (Hint- Pay attention to which is the hypothesis and conclusion)
Driving is difficult if the weather is stormy.
Driving is difficult.
- The weather is stormy.
- The weather is not stormy.
- If driving is difficult, then the weather is stormy.
- not possible
A: not possible

Q: Use the Law of Detachment and the Law of Syllogism to draw a conclusion from the three given statements.
If an elephant weighs more than 2,000 pounds, then it weighs more than Jill’s car.
If something weighs more than Jill’s car, then it is too heavy for the bridge.
Smiley the Elephant weighs 2,150 pounds.
- Smiley is too heavy for the bridge.
- Smiley weighs more than Jill’s car.
- If Smiley weighs more than 2000 pounds, then Smiley is too heavy for the bridge.
- If Smiley weighs more than Jill’s car, then Smiley is too heavy for the bridge.
A: Smiley is too heavy for the bridge.

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
The doctor recommends rest if the patient has the flu.
The doctor recommends rest.
- The patient has the flu.
- The patient does not have the flu.
- If the doctor recommends rest, the patient has the flu.
- not possible
A: not possible

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. (Hint- Pay attention to which is the hypothesis and conclusion)
The doctor recommends rest if the patient has the flu.
The doctor recommends rest.
- The patient has the flu.
- The patient does not have the flu.
- If the doctor recommends rest, the patient has the flu.
- not possible
A: not possible

Q: Which statement is the Law of Detachment?
- If [Image] is a true statement and q is true, then p is true.
- If [Image] is a true statement and q is true, then [Image] is true.
- If [Image] and [Image] are true, then [Image] is a true statement.
- If [Image] is a true statement and p is true, then q is true.
A: If [Image] is a true statement and p is true, then q is true.

Q: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are supplementary, then the sum of their measures is 180°.
[Image] and [Image] are supplementary.
- [Image] + [Image] = 180
- [Image] is congruent to [Image].
- [Image]
- [Image] + [Image] = 90
A: [Image] + [Image] = 180

Q: If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 3, then 3x – 4 = 5.
Statement 2: x = 3
- 3x – 4 = 5
- x = 3
- If 3x – 4 = 5, then x = 3.
- not possible
A: 3x – 4 = 5

Q: If possible, use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
Statement 1: If x = 2, then 8x – 10 = 6.
Statement 2: x = 2
- 8x – 10 = 6
- x = 2
- If 8x – 10 = 6, then x = 2.
- not possible
A: 8x – 10 = 6

Q: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
[Image] and [Image] are congruent.
- [Image] + [Image] = 90
- [Image] = [Image]
- [Image]
- [Image] is the complement of [Image].
A: [Image] = [Image]

Q: Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are congruent, then they have equal measures.
[Image] and [Image] are congruent.
- [Image]
- [Image] = [Image]
- [Image] + [Image] = 90
- [Image] is the complement of [Image].
A: [Image] = [Image]

Q: Which statement is the Law of Syllogism?
- If [Image] is a true statement and p is true, then q is true.
- If [Image] is a true statement and q is true, then p is true.
- if [Image] and [Image] are true statements, then [Image] is a true statement.
- If [Image] and [Image] are true statements, then [Image] is a true statement.
A: if [Image] and [Image] are true statements, then [Image] is a true statement.

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
- If a number is a multiple of 64, then it is a multiple of 2.
- The number is a multiple of 2.
- The number is a multiple of 8.
- If a number is not a multiple of 2, then the number is not a multiple of 64.
A: If a number is a multiple of 64, then it is a multiple of 2.

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If three points lie on the same line, they are collinear.
If three points are collinear, they lie in the same plane.
- The three points are collinear.
- The three points lie in the same plane.
- If three points do not lie in the same plane, they do not lie on the same line.
- If three points lie in the same line, they lie in the same plane.
A: If three points lie in the same line, they lie in the same plane.

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If two lines intersect and form right angles, the lines are perpendicular.
If two lines are perpendicular, they intersect and form 90° angles.
- If two lines intersect and form right angles, they intersect and form 90° angles.
- The lines intersect and form 90° angles.
- If two lines do not intersect and form 90° angles, they do not form right angles.
- The lines are perpendicular.
A: If two lines intersect and form right angles, they intersect and form 90° angles.

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
- If a number is not a multiple of 2, then the number is not a multiple of 64.
- The number is a multiple of 2.
- If a number is a multiple of 64, then it is a multiple of 2.
- The number is a multiple of 8.
A: If a number is a multiple of 64, then it is a multiple of 2.

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
- I can afford to buy a ticket.
- I cannot afford to buy the ticket.
- If I can go to the concert, I can afford the ticket.
- not possible
A: not possible

Q: Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not possible. (Hint- Pay attention to which is the hypothesis and conclusion)
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.
- I can afford to buy a ticket.
- I cannot afford to buy the ticket.
- If I can go to the concert, I can afford the ticket.
- not possible
A: not possible

Q: Use the Law of Syllogism to draw a conclusion from the two given statements.
If you exercise regularly, you have a healthy body.
If you have a healthy body, you have more energy.
- If you do not have more energy, you do not exercise regularly.
- If exercise regularly, you have more energy.
- You have more energy.
- You have a healthy body.
A: If exercise regularly, you have more energy.