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SVETLANKA909090 [29]
3 years ago
13

Which of the following illustrate the commutative property? select all that apply

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

For this case we have that the commutative property establishes that the order of the factors does not alter the product. Example:

5 * 6 = 6 * 5\\4 + 3 = 3 + 4

Then we have the following options illustrate the property:

3 + 4 + 6 = 3 + 6 + 4 = 13\\9 * 2 * 7 = 7 * 9 * 2 = 126\\2 + 3 + 1 = 3 + 1 + 2 = 6\\5 + 2-4 = 5-4 + 2 = 3

It is necessary to emphasize that option b illustrates the associative property and in option c equality is not fulfilled

Answer:

Option A, D, E, F

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1. m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}, then m\angle ABC=m\angle ACD and triangles ADC and ACB are similar by AAA theorem.


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3. Knowing lengths you could state that \dfrac{b}{c}= \dfrac{e}{b}.


4. This ratio is equivalent to b^2=ce.


5. m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}, then m\angle BAC=m\angle BCD and triangles BDC and BCA are similar by AAA theorem.


6. The ratio of the corresponding sides of similar triangles is constant, so


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