Question

Construct two tangents to circle O, at A and at B, where AB is a diameter. What relationship exists between the two tangents?

(don't think i drew it right)​

Answer 1

Two tangent lines are ║ to each other.

Explanation:

The tangent formed at point A is ⊥ to the line segment AB

The tangent formed at point B is ⊥ to the line segment AB

Theorem 3-14: In a plane, if two lines are perpendicular to a third line, then they are parallel to each other.

Therefore the two tangent lines are parallel.

Answer 2

This two relationship exists :

A ) The two tangents from the point on circle to the exterior points are equal in length

B ) The angle between a tangents and radius is right angles

Explanation:

Given as ;

The circle with center O

The points A and B is on the circle

So, AB is the diameter of circle

Now, If we draw two tangents from point A and Points B , and when we stretch both tangents to exterior point P , then at points P both will meet .

So, Two tangents AP and BP is constructed .

From here if we measure the length of both tangents AP and BP , then the measure of both the lengths of tangents are equal .

So , we can say that AP = BP

Again ,

We can see that radius from the center O to the tangents makes right angle

I.e The on both tangents the radius is making equal angle i.e right angle

Hence , From This two relationship exists :

A ) The two tangents from the point on circle to the exterior points are equal in length

B ) The angle between a tangents and radius is right angles

Answer