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Dimas [21]
3 years ago
7

What does an isometric transformation do?

Mathematics
2 answers:
BaLLatris [955]3 years ago
4 0

Answer:

Option: B is correct.

( Preserves the shape and size of the figure )

Step-by-step explanation:

  • An ISOMETRIC TRANSFORMATION (RIGID MOTION) is a transformation that preserves the distances and/or angles between the pre-image and image.
  • The isometric transformations are reflection, rotation and translation and combinations of them such as the glide, which is the combination of a translation and a reflection.

Hence, option B is correct.

Preserves the shape and size of the figure.

Black_prince [1.1K]3 years ago
4 0

An isometric transformation do preserves the size and shape of a figure. Option (b) is correct.

Further explanation:

Given:

The options are as follows,

(a). Changes the size and shape of a figure.

(b). Preserves the size and shape of a figure.

(c). Preserves the size of a figure, but not the shape.

(d). Preserves the shape of a figure, but not the size.

Explanation:

Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.

Reflection is a transformation. The pre-image is just flipped along a line of reflection to get a new image.

In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.

An isometric transformation do preserves the size and shape of a figure. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: isometric, transformation, isometric transformation, size, shape, preserve, change, figure, Preserves the size of a figure, mapping, rotation, translation, reflection, pre-image, plane.

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Anas wants to build a one-sample z interval with 85% confidence to estimate what proportion of users will click an advertisement
klasskru [66]

Answer:

See below

Step-by-step explanation:

<u>Check One Sample Z-Interval Conditions</u>

Simple Random Sample? √

np≥10? √

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  • Formula --> CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)
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  • Sample Size --> n=250
  • Margin of Error (MOE) --> \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}

<u>Problem 1</u>

As stated previously, Anas should use the critical value z^*=1.4395 to construct the 85% confidence interval

<u>Problem 2</u>

Given our formula for the margin of error (MOE), the value is MOE=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}=\sqrt{\frac{0.216(1-0.216)}{250}}\approx0.026

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The 85% confidence interval would be CI=\hat{p}\pm z^*\biggr(\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\biggr)=CI=0.216\pm 1.4395(0.026)\appro=\{0.1786,0.2534\}, which means that we are 85% confident that the true proportion of people that clicked on the advertisement is between 0.1786 (~45 people) and 0.2534 (~63 people)

<u>Problem 4</u>

Increasing the sample size to n=500 is going to decrease the margin of error because it is a closer representation of the population, but, alas, requires more time, energy, and resources to observe.

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