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Triangle \triangle ABC△ABCtriangle, A, B, C is reflected across line L to create \triangle A'B'C'△A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime. What is the area of \triangle A'B'C'△A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime?

Respuesta :

MrRoyal

Answer:

The area of [tex]\triangle A'B'C'[/tex] = The area of [tex]\triangle ABC[/tex]

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

Reflected to:

[tex]\triangle A'B'C'[/tex]

Required

Determine the area of [tex]\triangle A'B'C'[/tex]

When a shape is reflected across any point to create another shape.

The newly created shape has the same area as the area of the reflected shape.

This is so because, reflection does not affect the dimension of shapes.

Having said that:

The area of [tex]\triangle A'B'C'[/tex] = The area of [tex]\triangle ABC[/tex]

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