Question

In the figure below, segments AC and AB are tangent to circle E. If AC is equal to 10 cm, then segment AB is equal to 20 cm.

Answer 1

If tangents are drawn from the same spot, then they will be equal.

Since tangents AB and AC both start from point A, and go to the same circle, then:

AC = AB.

That means the statement:

'If AC is equal to 10cm, then segment AB is equal to 20cm'

is false

(if a AC = 10cm, then AB would = 20cm as well)

_____________________________________

Answer:

False

Answer 2

The given statement is false.

Explanation:

We have been given a statement. We are supposed to determine whether our given statement is true or not.

Segments AC and AB are tangent to circle E. If AC is equal to 10 cm, then segment AB is equal to 20 cm.

We know that tangents of circle from same external point are congruent.

We can see that both tangents AB and AC are drawn from same point A, so AB will be equal to AC.

Since
`AB=20` and
`AC=10`, therefore, our given statement is false.