Question

O

A triangle has vertices at L(2, 2), M(4,4), and N(1,6). The
triangle is transformed according to the rule Ro 180-
Which statements are true regarding the
transformation? Select three options.
The rule for the transformation is (x, y) - (x, y).
The coordinates of L'are (-2,-2).
The coordinates of M' are (-4,4).
The coordinates of N' are (6,-1).
The coordinates of Nare (-1,-6).
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Which statements are true regarding the transformation?

Answer 1

The rule for the transformation is
`(x, y)\rightarrow (-x, -y)`.

The coordinates of L' are
`(-2,-2)`.

The coordinates of N' are
`(-1,-6)`.

Explanation:

Given:

Vertices of a triangle are:
`L(2,2),M(4,4)\textrm{ and }N(1,6)`

The rotation is 180 degree.

So, the rule for 180 degree rotation is:

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

Therefore, the new co-ordinates of the vertices are:

`L(2,2)\rightarrow L'(-2,-2)\\M(4,4)\rightarrow M'(-4,-4)\\N(1,6)\rightarrow N'(-1,-6)`

So, the correct options are:

The rule for the transformation is
`(x, y)\rightarrow (-x, -y)`.

The coordinates of L' are
`(-2,-2)`.

The coordinates of N' are
`(-1,-6)`.