Question
If two triangles XYZ and ABC are congruent, then which
of the following statement(s) is/are true? I. XY = AB II. ∠X = ∠ASolution
If two triangles are congruent, their corresponding sides and angles are equal.
- XY corresponds to AB.
- ∠X corresponds to ∠A.
- Statement I: XY = AB → This is true because corresponding sides of congruent triangles are equal.
- Statement II: ∠X = ∠A → This is true because corresponding angles of congruent triangles are equal.
Thus, both statements are true.
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