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s344n2d4d5 [400]
3 years ago
13

Triangle ABC is reflected over the x-axis. У C(5, - 1) | A(0, - 2) -3 -4 B(2, - 4) 5 -6 What are the vertices of AA'B'C '?

Mathematics
1 answer:
8090 [49]3 years ago
8 0

Answer:

The vertices of the triangle A'B'C' are A'(x,y) =(0,2), B'(x,y) = (-2,4) and C'(x,y) = (-5,1), respectively.

Step-by-step explanation:

Vectorially speaking, the reflection of a point over the x-axis is defined by the following expression:

P'(x,y) = P(x,y) -2\cdot P(x,y)

P'(x,y) = -P(x,y) (1)

Where:

P(x,y) - Original point.

P'(x,y) - Reflected point.

If we know that A(x,y) = (0,-2), B(x,y) = (2,-4) and C(x,y) = (5,-1), then the vertices of the triangle A'B'C':

A'(x,y) =(0,2), B'(x,y) = (-2,4), C'(x,y) = (-5,1)

The vertices of the triangle A'B'C' are A'(x,y) =(0,2), B'(x,y) = (-2,4) and C'(x,y) = (-5,1), respectively.

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