Question
Are the two polygons congruent? Explain why or why not.
Hint:
Two polygons are congruent if their corresponding sides and angles are congruent.
The correct answer is: NO
Two polygons are congruent if and only if their corresponding sides and angles are congruent. As per diagram we get Congruence of angles ,But we cannot say anything about sides so, the data is inadequate to prove congruence. so, No congruence .
Related Questions to study
Which of the following expressions is equivalent to the expression above?
Note:
Another way of solving this problem is to expand all the terms in the expression
Then we get,
Thus, we will get that
Can be written as
This also gives the same answer as above. No matter which method we use to simplify the expression, we will always get a unique answer.
Which of the following expressions is equivalent to the expression above?
Note:
Another way of solving this problem is to expand all the terms in the expression
Then we get,
Thus, we will get that
Can be written as
This also gives the same answer as above. No matter which method we use to simplify the expression, we will always get a unique answer.
△ DEF ≅ △ LMN
m∠D = m∠L = 70°
m∠F = m∠N = 30°
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m∠D = m∠L = 70°
m∠F = m∠N = 30°
Which of the following statements is NOT true?
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One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
Note:
The method given is option A is called simple random sampling. Some other methods of random sampling are stratified random sampling, cluster random sampling and systematic random sampling.
Infact, there is further categorisation of simple random sampling- probability and non-probability sampling.
One hundred park-district members will be selected to participate in a survey about selecting a new park-district coordinator. Which of the following methods of choosing the 100 members would result in a random sample of members of the park district?
Note:
The method given is option A is called simple random sampling. Some other methods of random sampling are stratified random sampling, cluster random sampling and systematic random sampling.
Infact, there is further categorisation of simple random sampling- probability and non-probability sampling.
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figures
Two polygons are considered to be congruent if the sides and angles match. When two sides or angles have the same length are considered to be congruent. We demonstrate that the angles are congruent by inserting the same slash marks through each one.
The symbol for congruence is ≅ and can be written as △ABC ≅ △DEF. ∠A is equivalent to ∠D, ∠B to ∠E, and ∠C to ∠F. Side AB corresponds to DE, BC to EF, and AC to DF.
Two triangles are formed with three sides that are congruent. Triangles are congruent if all three pairs of corresponding sides are congruent.
Identify all pairs of congruent corresponding parts. Then write another congruence statement for the
figures
Two polygons are considered to be congruent if the sides and angles match. When two sides or angles have the same length are considered to be congruent. We demonstrate that the angles are congruent by inserting the same slash marks through each one.
The symbol for congruence is ≅ and can be written as △ABC ≅ △DEF. ∠A is equivalent to ∠D, ∠B to ∠E, and ∠C to ∠F. Side AB corresponds to DE, BC to EF, and AC to DF.
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A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
Note:
It may confuse some students but the fact that the medication needs to be taken for 5 days is not necessary to solve this question.
A physician prescribes a treatment in which a patient takes 2 teaspoons of a medication every 6 hours for 5 days. According to the prescription, how many teaspoons of the medication should the patient take in a 24-hour period?
Note:
It may confuse some students but the fact that the medication needs to be taken for 5 days is not necessary to solve this question.
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Note:
There could be several more questions like this which also ask the mean or median of the given data or the average number of riders on the weekend, e t c.
The number of people who rode a certain bus eachday of a week is shown in the table below.
Which of the following is true based on these data?
Note:
There could be several more questions like this which also ask the mean or median of the given data or the average number of riders on the weekend, e t c.
