Pregunta
Is this statement true or false?
The Area Congruence Postulate states that if two polygons have the same area, then
the polygons are congruent.
false
The Area Congruence Postulate states that if two polygons have the same area, then
the polygons are congruent.
false
Ask by Bond Burns. in the United States
Jan 22,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The statement is false. Having the same area does not mean two polygons are congruent.
Solución

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Respondido por UpStudy AI y revisado por un tutor profesional
Como
The Deep Dive
You’re spot on! The Area Congruence Postulate can be a bit misleading. Just because two polygons share the same area doesn’t automatically mean they’re congruent. They could be different shapes that cover the same space, like a square and a rectangle with an equivalent area. Geometry loves to surprise us with shapes that can look different yet share the same measurement!
In real life, you can see this principle in action with things like food portions! Think of a pizza—two pizzas might have the same area, but one could be a perfect circle while the other is a funky rectangle. Even though they’re both the same size in terms of area, they certainly wouldn’t be congruent. It’s a tasty example of how congruence and area can dance together in unexpected ways!

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