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2 years ago

How can a sequence of transformations be used to justify whether two figures are congruent or similar?

Mathematics

1 answer:

Lena [83]2 years ago

3 0

Answer:

A sequence of transformation can move two congruent figures to the same place (vertical / horizontal shifts). This causes them to perfectly overlap, proving their congruency.

A sequence of transformations can be used to show that something is similar, because if one were to transform a figure with only shrinks / stretches, one can shrink / stretch them to make them congruent. If only shrinks or stretches were done, and if the result of the transformation is congruent to the other figure, then the figures are similar (sides are proportional and shrinking/stretching them proves proportionality to other figure).

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Hello there, can someone please help me with this question

monitta

Answer:

10 sides.

Step-by-step explanation:

Two same interior angles + 72 degrees = 360.

Thus, the interior angle of the polygon is $\frac{360-72}{2} =144$ .

The formula to find the interior angle of a polygon is $\frac{180(n-2)}{n}$

$\frac{180(n-2)}{n} =144$

Multiply both sides by n:

$\frac{180\left(n-2\right)}{n}n=144n$

$180\left(n-2\right)=144n$

Expand:

$180n-360=144n$

Add 360 to both sides:

$180n-360+360=144n+360$

$180n=144n+360$

Subtract 144n from both sides:

$180n-144n=144n+360-144n$

$36n=360$

Divide both sides by 36:

$\frac{36n}{36}=\frac{360}{36}$

$n=10$

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2 years ago

The measure of an angle is 133°. What is the measure of its supplementary angle?

Pachacha [2.7K]

Answer:

Step-by-step explanation:

180 - 133 = 47

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2 years ago

3m² – 17m + 10 factoring polynomials

JulsSmile [24]

Answer:

(3m-2) x (m-5)

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2 years ago

If a statement is true the its negation is A true B false C cannot be determined

aniked [119]

B) False

Because the negation makes it opposite of what is was.

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3 years ago

Read 2 more answers

What is the value of a?

4vir4ik [10]

Answer:

$\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}$

Step-by-step explanation:

$\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}$

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2 years ago