Geometry

Question Analysis:
This question applies syllogistic reasoning within the context of isosceles triangle properties.
The main focus is on using the definition of an isosceles triangle and the relationship between congruent sides and congruent angles to draw a conclusion about the angles of a specific isosceles triangle.

Key Concept Explanation:
The first statement defines an isosceles triangle.
The second statement gives a property related to the angles of a triangle with congruent sides.

Step - by - Step Solution:
Given:
Premise 1: If a triangle is isosceles, then it has at least two congruent sides.
Premise 2: If a triangle has two congruent sides, then the angles opposite those sides are congruent.
Premise 3: Triangle XYZ is isosceles with side XY congruent to side XZ.
Since XYZ is isosceles (Premise 3), it has two congruent sides (by Premise 1).
And since XY and XZ are congruent, by Premise 2, the angles opposite them, angle Y and angle Z, are congruent.

Option Analysis:
Option A: As shown in the step - by - step solution, angle Y is congruent to angle Z, so this option is correct.
Option B: There is no i...