Question

1. ab and ac are tangent to circle o. if ab measures 23 cm, what is the measure of ac? options: 23 cm, 46 cm, 35 cm, 40 cm

Explanation:

Step1: Recall Tangent Segment Theorem

The theorem states that if two tangent segments are drawn from the same external point to a circle, then the lengths of these two tangent segments are equal.

Step2: Apply the Theorem to AB and AC

Here, point \( A \) is the external point, and \( AB \) and \( AC \) are the two tangent segments drawn from \( A \) to circle \( O \). So, by the tangent segment theorem, \( AB = AC \).

Step3: Substitute the Given Length of AB

We know that \( AB = 23 \) cm. Since \( AB = AC \), we can conclude that \( AC = 23 \) cm.

Answer:

23 cm