What does mutually externally tangent mean?

Circles are “mutually tangent” when each pair of them touch at a single point. At that point their common tangent will be perpendicular to the line that joins their centers.

What does it mean if a pair of circles is externally tangent?

Two circles in the same plane are externally tangent if they intersect in exactly one point and their intersection of their interiors is empty.

What is the relationship when two tangents meet at the same external point?

The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same external point, then they are congruent.

What is the external tangent congruence theorem?

If a line is tangent to a circle, it is perpendicular to the radius drawn to the point of tangency. Tangent segments to a circle from the same external point are congruent. (You may see this theorem referred to as the “hat” theorem as the circle appears to be wearing a hat.)

Which is true about two tangents of a circle from a common external point?

How many common tangent planes do two externally tangent spheres have make drawings as needed to answer the question?

So, the correct answer is three. Additional Information: Tangent is a straight line which touches the circle at a particular point. The line from the centre of the circle and the tangent forms at 90 degree angle.

Can two tangents intersect each other outside the circle?

No, the tangents cannot intersect outside the circle. When tangents intersect outside a circle, the measure of the angle they form is one half the difference of the intercepted arcs. Since the tangents are at the endpoints of the same diameter, both intercepted arcs would have to measure 180 degrees.

What is the name of this theorem if two segments from the same exterior point are tangent to a circle then the two segments are congruent?

This point is called the point of tangency. More than one line can be tangent to the same circle. If two segments from the same exterior point are tangent to a circle, then they are congruent.

Can two congruent circles be tangent externally internally?

Two circles can be externally tangent if the circles are situated outside one another and internally tangent if one of them is situated inside the other.

Are common external tangents congruent?

The common internal tangents to two circles are congruent. The common external tangents to two circles are congruent.

When two circles touch externally the number of common tangents are?

three common tangents
If two circles touch externally ,three common tangents can be drawn.In the given figure three tangents are AB,CD and EF .