Question

Which of the following are magnitudes for rotational symmetry of the ellipse below about its center?
Choose all answer that apply:
All magnitudes less than 360°
180°
270°

Answer 1

Answer:

180 bestie

Step-by-step explanation:

Answer 2

The magnitude of rotational symmetry of the given ellipse is angle 180°.

What is the equation of ellipse if its major and minor axis and center are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis,

then the equation of that ellipse would be:

$\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1$

Coordinates of its foci would be:  $(h \pm c, k)$ where   c^2 = a^2 - b^2

Let the magnitude of rotational symmetry of the given ellipse is angle θ.

Measure of angle θ is a straight line.

Measure of angle θ = 180°

Therefore, with a rotation of 180° ellipse will overlap itself.                                              

Learn more about ellipse here:

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