1. The problem states that triangle ABC is a right triangle with angle A = 90°. 2. A conjecture about right triangles might be something like "The hypotenuse is always the longest side" or "The sum of the other two angles is 90°". 3. A counterexample disproves a conjecture by providing a case where the conjecture does not hold. 4. Since angle A is 90°, the triangle is right-angled at A, so side BC is the hypotenuse. 5. Possible counterexamples would be triangles that violate common misconceptions, such as: - A triangle where the hypotenuse is not the longest side (which is impossible in Euclidean geometry, so no counterexample here). - A triangle where the sum of the other two angles is not 90° (also impossible in Euclidean geometry). 6. Without additional conjectures given, the two correct counterexamples must be specific triangles or statements that contradict false conjectures about right triangles. Since the problem asks to select TWO correct answers but does not provide options, the best approach is to clarify that any triangle with angle A = 90° satisfies the properties of right triangles, so counterexamples must contradict false conjectures. Final answer: Without explicit conjectures or options, no valid counterexamples exist for the true statement that angle A = 90° in triangle ABC.