Drawing External Tangents Between Circles

Drawing External Tangents Between Circles

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

This video tutorial teaches how to draw two external tangent lines of two given circles. It begins by joining the center points of the circles and finding the perpendicular bisector. A large circle is drawn through both center points, and the radii are subtracted to find the difference. Tangent points are identified by drawing lines through specific points, and the drawing is completed with thicker lines. The video concludes with a call to action to like and subscribe.

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8 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in drawing external tangent lines between two circles?

Identify the tangent points on the circles.

Join the centers of the two circles.

Draw a large circle through both centers.

Calculate the difference between the radii.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the perpendicular bisector of the line joining the centers of two circles?

By measuring the exact midpoint with a ruler.

By drawing a line parallel to the original line.

By setting the compass to the length of the line and drawing arcs.

By setting the compass slightly longer than half the distance and drawing arcs.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of drawing a large circle through both centers?

To find the midpoint of the line joining the centers.

To calculate the difference between the radii.

To create a reference for drawing external tangents.

To identify the tangent points on the circles.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the difference between the radii of two circles used in this process?

To determine the length of the tangent lines.

To find the midpoint of the line joining the centers.

To draw another circle that intersects the large circle.

To adjust the size of the large circle.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the next step after drawing the circle with the radius difference?

Connect the tangent points with thicker lines.

Draw parallel lines from the second circle center.

Finalize the drawing by checking angles.

Identify tangent points by drawing lines from the centers.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How are additional tangent points found?

By measuring the angles between the circles.

By extending the large circle.

By drawing parallel lines from the second circle center.

By drawing lines from the first circle center.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in completing the drawing of external tangents?

Calculating the difference between the radii.

Drawing a large circle through both centers.

Connecting the tangent points with thicker lines.

Identifying tangent points by drawing lines from the centers.

8.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is checked to ensure the accuracy of the drawing?

The length of the tangent lines.

The angles between the lines and circles.

The parallelism of the lines.

The size of the large circle.