Geometry 1
Steven Thomas
Created on September 27, 2024
Covers Logic and Venn Diagrams
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Transcript
Answer the questions correctly and put down the tiles as instructed. A right answer will drive you from the Green Tile to the Red Tile. An incorrect answer may give you a road block. You will reach the end of the track once you see the CONGRATULATIONS screen.
Game
REview
START
p ꓥ q
p ꓦ q
p -> q
QUESTION A
Directions: Write the bolded statement using symbols.Let p be "an angle's measure is 87 degrees and Let q be "the angle is an acute angle." If an angle's mearsure is 87 degrees, then it is an acute angle.
Put down a blue tile in the path of the car. PLACE YOUR CAR ON THE GREEN TILE TO START AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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If the temperature is not below freezing, then the temperature is not 25 degrees.
If the temperature is not 25 degrees, then it is not below freezing
If the temperature is below freezing, then the temperature is 25 degrees.
QUESTION B
Find the contrapositive of the bolded statement: If the temperature is 25 degrees, then it is below freezing.
Directions: Write the bolded statement using symbols.Let p be "an angle's measure is 87 degrees. Let q be "the angle is an acute angle." If an angle's mearsure is not 87 degrees, then it is not an acute angle.
QUESTION 1
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PUT DOWN A PINK TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE TO START AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION
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If it is not March 17th, then it is St. Patrick's Day.
If it is St. Patrick's Day, then it is March 17th.
If it is not St. Patrick's Day, then it is not March 17th.
QUESTION D
Find the converse of the bolded statement:If it is March 17th, then it is St. Patrick's Day.
If you can not check out books, then you do not have a library card.
If you can check out books, then you have a library card.
If you do not have a library card, then you can not check out books.
QUESTION 2
Find the converse of the bolded statement: If you have a library card, then you can check out books.
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PUT DOWN AN YELLOW TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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If I do not reset my clock, then it is not daylight savings time.
If I reset my clock, then it is daylight savings time.
If it is not daylight savings time, then I will not reset my clocks
QUESTION F
Find the inverse of the bolded statement:If it is daylight savings time, then I will reset my clocks.
If the shape is not a rectangle, then the shape is not a square.
If the shape is not a square then the shape is not a rectangle.
If the shape is a rectangle, then the shape is a square.
QUESTION 3
Apply the law of contrapostive to the inverse of the bolded statement. If the shape is a square then the shape is a rectangle.
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PUT DOWN A ORANGE TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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PUT DOWN A PURPLE TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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PUT DOWN A red TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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LOOKS LIKE YOU STALLED. REMOVE THE tile AND try again.
OOPS!
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133 students
31 students
242 students
QUESTION H
Using the Venn Diagram, How many students have a driver's license and take college classes?
PUT DOWN A TEAL TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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Some dimes are coins.
All coins are dimes.
All dimes are coins.
QUESTION i
What relationship is shown using the Venn Diagram?
PUT DOWN A BLUE TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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Conclusion: The Effiel Tower was under construction.
Conclusion: No valid conclusion.
Conclusion: You didnt go to Paris.
QUESTION j
Use the Law of Detachment to give a valid conclusion.Given: If you visit Paris, then you will see the Effiel Tower. You did not see the Effiel Tower.
PUT DOWN A ORANGE TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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Conclusion: No valid conclusion.
Conclusion: If the quadrilateral is a rectangle, then it is a square.
Conclusion: If a quadrilateral is a square, then it is a rectangle.
QUESTION k
Use Law of Syllogism to draw a valid conclusion:If a quadrilateral is a square, then it has four right angles. If a quadrilateral has four right angles, then it is a rectangle.
PUT DOWN A PINK TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE TO START AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION
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PUT DOWN A RED TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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PUT DOWN A PURPLE TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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LOOKS LIKE YOU STALLED. REMOVE THE tile AND try again.
OOPS!
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Conclusion: If the number ends in 0 then it is divisible by 5.
Conclusion: No valid conclusion
Conclusion: If the number is 10, then it ends in a 0.
QUESTION L
Using the Law of Syllogism, determine a valid conclusion. If a number ends in 0, then it is divisible by 10. If a number ends in 5, then it is divisible by 5.
PUT DOWN A GREEN TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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{4}
{1,2,3,5}
{1,2,3,4,5}
QUESTION M
What set represents A ∩ B from the Venn Diagram shown?
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you have reaced the end of the track. great job!
congratulations!
PUT DOWN A GREEN TILE IN THE PATH OF THE CAR. PLACE YOUR CAR ON THE GREEN TILE AND WATCH WHAT HAPPENS. GO TO THE NEXT QUESTION.
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