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I am Lyosha [343]
2 years ago
14

Which best explains why the rotation represents an

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

The best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

There are four main categories of transformations:

  1. Translation (figure slides in any direction)
  2. Reflection (figure flips over a line)
  3. Rotation (figure turns about a fixed point)
  4. Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "<u>The rectangle did not change shape or size</u>". Hence the <u>second option</u> is the right choice.

Learn more about isometric transformations at

brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

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Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
3 years ago
ΔEFI is dilated by a scale factor of one third with the center of dilation at point F. Then, it is reflected over line a to crea
timofeeve [1]

Answer:

The correct option is;

Segment FE over 3 = Segment FH

Segment FI over 3 = Segment FG, and

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ΔEFI ~ ΔHFG

Step-by-step explanation:

The given transformations are'

ΔEFI is dilated by a scale factor of 1/3 and then it is reflected over line a

By dilation, we have

FH = 1/3×FE

FG = 1/3×FI

HG = 1/3×EI

Also by reflection over a line, the relative positions of the y-coordinates of the points remain the same while the x coordinates changes sign such that an upright mirror image of the dilated triangle is formed

Therefore, since we have;

\dfrac{sin\alpha}{sin\beta  } \ and \  \dfrac{sin\gamma}{sin\alpha  } the same for both triangles, that is given the following relation;

FG/FH = (1/3×FI)/(1/3×FE) = FI/FE

Then, ΔEFI is similar to ΔHFG (triangle similarity requirement AAA)

Hence, the correct option is that the

Segment FE over 3 = Segment FH

Segment FI over 3 = Segment FG, and

Segment EI over 3 = Segment HG

ΔEFI ~ ΔHFG.

4 0
3 years ago
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My name is Ann [436]
45n+15
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