Pregunta
Given that polygon \( P Q R S \cong \) polygon \( L M N O \), identify the ngruent corresponding part for \( \angle Q \). \( \angle M \) \( \angle N \) \( \angle O \) \( \angle L \)
Ask by Young Gonzalez. in the United States
Dec 06,2024
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The congruent corresponding part for \( \angle Q \) is \( \angle M \).
Solución
When two polygons are congruent, it means that they have the same shape and size. In this case, polygon \( PQRS \) is congruent to polygon \( LMNO \).
To identify the congruent corresponding part for \( \angle Q \), we need to find the angle in polygon \( LMNO \) that corresponds to \( \angle Q \) in polygon \( PQRS \).
Since the polygons are congruent, the corresponding angles are equal. Therefore, the congruent corresponding part for \( \angle Q \) is \( \angle M \).
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Bonus Knowledge
Since polygon \( P Q R S \) is congruent to polygon \( L M N O \), their corresponding angles are equal. The order of the vertices indicates that \( \angle Q \) in polygon \( P Q R S \) corresponds to \( \angle M \) in polygon \( L M N O \). Therefore, the answer is \( \angle M \). To have a bit of fun, think of it like a dance match; \( P Q R S \) and \( L M N O \) are doing the same moves at the same time, just in a different arena! The angles are just dancing partners finding their perfect match.
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