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umka2103 [35]
3 years ago
10

Please show your work.

Mathematics
2 answers:
Inessa [10]3 years ago
7 0
<span>The answer would be a reflection over the x-axis and then a reflection over the y-axis</span>
Natali [406]3 years ago
7 0

Answer:

Option C is correct.

A reflection over the x-axis and then a reflection over the y-axis

Step-by-step explanation:

From the given figure:

The coordinates of ABC are:

A(-4, -3), B(-5, -2) and C(-3, -2).

and the coordinate of A'B'C' are:

A'(4, 3), B'(5, 2) and C(3, 2)

The rule of reflection over x-axis is given by:

(x,y) \rightarrow (x, -y)

A(-4,-3) \rightarrow (-4, -(-3)) =(-4, 3)

B(-5,-2) \rightarrow (-5, 2)

C(-3, -2) \rightarrow (-3, 2)

then,

The rule of reflection over y-axis is given by:

(x,y) \rightarrow (-x, y)

(-4,3) \rightarrow (4, 3)=A'

(-5,2) \rightarrow (5, 2)=B'

(-3,2) \rightarrow (3, 2)=C'

Therefore, the triangle ABC is rotated 180 degree using the origin as the center of rotation is: A reflection over the x-axis and then a reflection over the y-axis


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