I need help filling in the blank and answering the question.
1. If you move the two foci of an ellipse together so that they become a single point, then the ellipse will become a/an------.
2. What happens when the major and minor axes are exactly the same length?
circle, circle
1. The elipse will then become a circle. 2. If they are exactly the same length then you have a truly circular orbit/object, the likes of which you will never see in the real world. I hope this helps!
To answer the first question, when the two foci of an ellipse are moved together and become a single point, the resulting shape is a circle.
To find the answer, you can use your knowledge of geometric properties or consult a reliable source such as a math textbook or an online resource about ellipses. The definition of an ellipse states that it is a shape with two foci. By finding information about how an ellipse transforms when its foci coincide, you can determine that it becomes a circle.
Now, moving on to the second question, when the major and minor axes of an ellipse are exactly the same length, the resulting shape is also a circle.
To arrive at this answer, you can recall the definition of an ellipse, which states that it is a shape obtained when a plane intersects a cone at a non-perpendicular angle. An ellipse has two axes: the major axis, which is the longest axis, and the minor axis, which is the shorter one. In a circle, all radii are equal, so the major and minor axes are identical, resulting in a circular shape.
To verify this information, you can refer to geometry textbooks or online resources that discuss the properties of circles and ellipses.