Question

Create diagrams to represent the possible cases for common tangents between two circles. Your diagram can be created using multimedia sources or drawn by hand. They should not be copied and pasted from a website. Explain why your diagrams satisfy the given criteria.
No Common Tangents (10 points)

Diagram:







Justification:

Answer 1

The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.

How to Create Common Tangents?

A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.

• 1. When one circle is in between another and one circle does not touch the other one, then tangent is not possible.

• 2. When one circle is in between another and one circle touches the other one at a point inside the circle, then only one tangent is possible.

• 3. When one circle intersects the other one, then two tangents are possible.

• 4. When one circle touches the other one at a point outside, then three tangents are possible.

• 5. When one circle neither intersects the other one nor inside the other one, then four tangents are possible.

Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.

Read more about common tangents at; brainly.com/question/4470346

#SPJ1