Understanding Ellipses

Understanding Ellipses

Assessment

Interactive Video

Created by

Aiden Montgomery

Mathematics

8th - 12th Grade

2 plays

Medium

This video tutorial introduces the concept of an ellipse, explaining its definition and properties. It covers the standard form of an ellipse, how to identify its major and minor axes, and how to find the foci. The video also demonstrates how to graph an ellipse using these properties and provides example problems to reinforce the concepts. The tutorial aims to equip learners with the skills to graph ellipses and understand their geometric properties.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the constant sum of distances from any point on an ellipse to its two foci called?

Radius

Diameter

Circumference

Focal Constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the standard form of an ellipse, what do the variables h and k represent?

The foci of the ellipse

The coordinates of the center

The eccentricity

The lengths of the axes

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you determine if the major axis of an ellipse is horizontal?

The larger denominator is under the x part

The larger denominator is under the y part

The ellipse is a circle

The foci are on the y-axis

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between a, b, and c in an ellipse?

b^2 = a^2 + c^2

a^2 = b^2 + c^2

a^2 + b^2 = c^2

c^2 = a^2 + b^2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an ellipse has a vertical major axis, how do you find the coordinates of the foci?

Add and subtract c from the x-coordinate

Add and subtract c from the y-coordinate

Add and subtract a from the x-coordinate

Add and subtract b from the y-coordinate

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of the major axis if a = 3?

9

6

12

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example with center (3, -1), what is the length of the minor axis?

8

2

4

6

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For an ellipse with a horizontal major axis, what is the formula to find c?

a^2 = b^2 + c^2

b^2 = a^2 + c^2

c^2 = a^2 + b^2

a^2 + b^2 = c^2

9.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the center of the ellipse if the equation is in the form (x + 2)^2/9 + (y - 1)^2/1 = 1?

(2, 1)

(-2, 1)

(2, -1)

(-2, -1)

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the foci for an ellipse with a horizontal major axis?

Add and subtract b from the x-coordinate

Add and subtract a from the y-coordinate

Add and subtract c from the x-coordinate

Add and subtract c from the y-coordinate

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