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3 years ago

What is true about every rotation?

Mathematics

2 answers:

Korvikt [17]3 years ago

8 0

Answer: A) The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Step-by-step explanation:

A rotation is a rigid transformation that maps a figure by rotating it about some degrees from a particular point of rotation.

Since all the rigid motions produces congruent images. Therefore rotation too creates congruent images ( shape and size remains same) .

And corresponding sides of congruent images are also congruent.

Therefore, The corresponding lengths, from the point of rotation, between the pre-image and image are preserved.

Hence, the correct answer is option (A).

defon3 years ago

4 0

I believe the answer is A.

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4 years ago

Find the measure of each of the angles. Don’t forget to label your answer

user100 [1]

Answer:

$a=125^o$

$b=55^o$

$c=55^o$

$d=55^o$

$e=125^o$

$f=55^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$(2x+25)^o=(x+75)^o$ ----> by alternate interior angles

solve for x

Group terms

$2x-x=75-25$

$x=50$

step 2

Find the measure of angle a

we know that

$a=(x+75)^o$ ----> by vertical angles

substitute the value of x

$a=(50+75)=125^o$

step 3

Find the measure of angle b

we know that

$a+b=180^o$ ----> by supplementary angles (form a linear pair)

we have

$a=125^o$

substitute

$125^o+b=180^o$

$b=180^o-125^o=55^o$

step 4

Find the measure of angle c

we know that

$c=b$ ----> by vertical angles

we have

$b=55^o$

therefore

$c=55^o$

step 5

Find the measure of angle d

we know that

$d=b$ ----> by corresponding angles

we have

$b=55^o$

therefore

$d=55^o$

step 6

Find the measure of angle e

we know that

$e=a$ ----> by alternate exterior angles

we have

$a=125^o$

therefore

$e=125^o$

step 7

Find the measure of angle f

we know that

$f=d$ ----> by vertical angles

we have

$d=55^o$

therefore

$f=55^o$

4 0

3 years ago