Which of the following is a figure rotated about in rotational symmetry?

Mathematics

2 answers:

ehidna [41]2 years ago

7 0

Answer with explanation:

The Meaning of term Rotational Symmetry is , when a geometrical shape is rotated by an Angle , the Original Pre-image and Image appear Congruent.

For example, when you rotate a Square through a complete revolution that is through an angle of 360°, it appears congruent to it's Original Preimage four times , that is each time when it is rotated by angle of 90°.

So,Order of rotational Symmetry = 4

For a line segment , end points are important while considering Rotational Symmetry.

⇒⇒⇒For a Geometrical Shape, having 1 or infinite order of symmetry

1. End Point is not a Figure that is not a geometrical shape.

2. Point of Symmetry is a Figure because we can call a point a geometrical shape.And in the context of Rotational Symmetry the term is often used.

3. Midpoint is also a Figure because we can call a point a geometrical shape but in context of rotational symmetry the term mid point does not come into consideration.

4.Point of congruence is also a Figure because we can call a point a geometrical shape but from the point of view of rotational symmetry, the term Point of congruence does not make any sense.

Option B →Point of symmetry

is a figure rotated about in rotational symmetry.

sammy [17]2 years ago

3 0

The answer is C. Mid point

You might be interested in

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$