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Geometry Name: Isosceles Triangle Theorem Isosceles Triangle Base Angle Theorem: If two sides of a triangle are congruent, then the angles opposite those sides are congruent. Converse of Isosceles Triangle Base Angle Theorem: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. DIRECTIONS: In each of the following examples, find the value of x. Practice Problems: 1. 4. 2. 5. 3. 6. For questions 7-9, use the following diagram: 7. 8. 9. For questions 10-12, use the following diagram. Given the two congruent angles, name two segments that must be congruent. 10. 11. 12.