Answer:
The correct option is;
An isosceles triangle
Step-by-step explanation:
The parameters given are;
Line segments XY and ZY are tangents to circle O.
ΔXYZ has points X and Z on the circle.
XY and ZY are tangents that intersect at point Y outside the circle'
Therefore, given the circle has center O, then;
OY ≅ OZ = Radius of circle with center O
∠OXY ≅ ∠OZY = 90° (The radius line from the circle center to the tangent point is perpendicular)
OY ≅ OY (Reflexive property)
ΔOYX and ΔOYZ are right triangles (Triangle with one angle = 90°
ΔOYX ≅ ΔOYZ (Hypotenuse Leg, HL, rule of congruency)
Therefore;
XY = ZY (Corresponding Parts of Congruent Triangles are Congruent CPCTC)
Triangle XYZ is an isosceles triangle (Triangle with two equal sides).
