Maths-
General
Easy
Question
Show the conjecture is false by finding a counterexample. Two supplementary angles form a linear pair.
Hint:
Inductive Reasoning is the process of drawing a general conclusion by observing a pattern based on the observations and this conclusion is called conjecture.
Counterexample: It is an example which shows that the conjecture is false.
The correct answer is: Hence, the counterexample of the given conjecture i.e. “Two supplementary angles form a linear pair.” is the adjacent angles of a parallelogram.
If we take a parallelogram
Here, we know that angles a and b are supplementary angles. But they are not linear.
So, the given conjecture is wrong.
Final Answer:
Hence, the counterexample of the given conjecture i.e. “Two supplementary angles form a linear pair.” is the adjacent angles of a parallelogram.
Related Questions to study
Maths-
A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for all 15 members of her family. If Aunt Ethel paid $375 for all the sweaters, what was the original price of each sweater?
A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for all 15 members of her family. If Aunt Ethel paid $375 for all the sweaters, what was the original price of each sweater?
Maths-General
Maths-
Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?
Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?
Maths-General
Maths-
State the law of logic that is illustrated.
If you score more than 75%, then you can go to the beach.
If you go to the beach, then you can surf.
If you score more than 75%. Then you can surf
State the law of logic that is illustrated.
If you score more than 75%, then you can go to the beach.
If you go to the beach, then you can surf.
If you score more than 75%. Then you can surf
Maths-General
Maths-
Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.
Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.
Maths-General
Maths-
Prove that ∠ ABC ≅ ∠ ADC
Prove that ∠ ABC ≅ ∠ ADC
Maths-General
Maths-
A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?
A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?
Maths-General
Maths-
Prove that ∠ ABC ≅ ∠ PQR
Prove that ∠ ABC ≅ ∠ PQR
Maths-General
Maths-
Show the conjecture is false by finding a counterexample. If 
≅ 
, then point B is the midpoint of AB.
Show the conjecture is false by finding a counterexample. If ≅ , then point B is the midpoint of AB.
Maths-General
Maths-
A store discounted the price of Doritos $0.35 and then a man bought 5 bags. If he paid a total of $12.70 for the bags of chips, how much was each bag originally?
A store discounted the price of Doritos $0.35 and then a man bought 5 bags. If he paid a total of $12.70 for the bags of chips, how much was each bag originally?
Maths-General
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation.
If the measure of an angle is less than 90°, then it is an acute angle.
Use the Law of Detachment to make a valid conclusion in the true situation.
If the measure of an angle is less than 90°, then it is an acute angle.
Maths-General
Maths-
Find JK
Find JK
Maths-General
Maths-
A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?
A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?
Maths-General
Maths-
Use the Law of Detachment to make a valid conclusion in the true situation.
If angles form a linear pair, then they are supplementary.
∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.
Use the Law of Detachment to make a valid conclusion in the true situation.
If angles form a linear pair, then they are supplementary.
∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.
Maths-General
Maths-
A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?
A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?
Maths-General
Maths-
Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.
Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.
Maths-General
