line segments xy and zy are tangent to circle o. which kind of triangle must triangle xyz be? an equilateral…

line segments xy and zy are tangent to circle o. which kind of triangle must triangle xyz be? an equilateral triangle an isosceles triangle a scalene triangle a right triangle

line segments xy and zy are tangent to circle o. which kind of triangle must triangle xyz be? an equilateral triangle an isosceles triangle a scalene triangle a right triangle

Answer

Explanation:

Step1: Recall tangent - length theorem

If two tangent segments are drawn from an external point to a circle, then the two tangent segments are equal.

Step2: Identify tangent segments

Here, segments $XY$ and $ZY$ are tangent to circle $O$ from the external point $Y$. So, $XY = ZY$.

Answer:

B. an isosceles triangle