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JulijaS [17]
3 years ago
14

Which of these transformations are isometries?

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0
<span><u><em>Answer:</em></u>
I, II and III.
<span>
<u><em>Explanation:</em></u>
<u>An isometry is</u> a transformation that preserves the size of the pre-image in the image and the corresponding angles and sides are also congruent.

<u>In each one of the images</u>, the figure given is he same size as the pre-image and The corresponding angles and corresponding sides are congruent; therefore they are all isometries. </span></span>
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a=6, b=2

Step-by-step explanation:

Use simplification into substitution
\frac{a}{3} =1+\frac{2}{b}

a=3(1+\frac{2}{b})

a=3+\frac{6}{b}

We can now plug this value of <em>a</em> into the second equation.

\frac{3+\frac{6}{b} }{4} +\frac{3}{b} =3

Get rid of fractions in the numerators and/or denominators

\frac{3b+6}{4b} +\frac{3}{b} =3

Then we can match the denominators

\frac{3b+6}{4b} +\frac{12}{4b} =3

Combine

\frac{3b+18}{4b} =3

Divide both sides by three

\frac{b+6}{4b} =1

Get rid of fractions

b+6=4b

Single out <em>b</em>

6=3b

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Now we can plug it into the equation

\frac{a}{3} -\frac{2}{2} =1

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↑CORRECT

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