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tamaranim1 [39]
3 years ago
13

This diagram shows a pre-image △ABC , and its image, ​ △A′′B′′C′′ ​ , after a series of transformations.

Mathematics
2 answers:
Stella [2.4K]3 years ago
8 0
First ABC is reflected across the y axis to become A'B'C'

Then A'B'C' is rotated 90 counterclockwise about the origin to make it A"B"C"

Because the transformations are both rigid, the pre-image and image are congruent

Hope this helped
sladkih [1.3K]3 years ago
7 0

Answer:

Step-by-step explanation:

ΔABC is reflected across y axis [ as we can see points A',B,'C' and A,B,C are equidistant from y - axis. y- axis is working like a mirror ]

ΔA'B'C' is rotated 90 degrees counterclockwise about the origin to become A"B"C". [Sides A'B' and A"B" are perpendicular to each other]

Because the transformations are both rigid [No dilation in the figure A"B"C"], the pre image and the image are congruent [All corresponding sides are equal].

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anyanavicka [17]
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→<br> Enter a formula using k to connect the two<br> variables.<br> y is proportional to x³
DiKsa [7]

Directly proportional to x.

<h3>What is propotionality?</h3>
  • In algebra, proportionality is the equality of two ratios.
  • A and B are in the same ratio as C and D in the formula a/b = c/d.
  • When one of a proportion's four quantities is unknown, a proportion is often built up to resolve the word problem.
  • By multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator, the equation can be solved.
  • Any relationship that has a constant ratio is said to be proportionate. For instance, the ratio of proportionality is the average number of apples per tree, and the amount of apples in a crop is proportional to the number of trees in the orchard.

Acc to our question-

  • If two variables' ratios (yx)
  • (x and y) have the same value as a constant (k=yx)
  • therefore the ratio's variable (y) in the numerator is the sum of the other variable and the constant (y=k:x).
  • With a proportionality constant of k, it is claimed that y is directly proportional to x in this instance.

Hence,Directly proportional to x.

learn morr about propotionality click here:

brainly.com/question/24868934

#SPJ13

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