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Triangle XYZ is rotated to create the image triangle X'Y'Z'. Which rules could describe the rotation? Select two options.

User Arnoldino
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1 Answer

3 votes

The correct options for the rotation rules are:

ORO, 90° (x, y) → (-y, x)

ORO, 270° (x, y) → (y, -x)

Rotation of 90 degrees (ORO, 90°):

(x, y) → (-y, x)

Applying this rule to each vertex:

X(0, 0) → Y'(-0, 0) = (0, 0)

Y(0, -2) → Z'(2, 0)

Z(-2, -2) → X'(2, -2)

This transformation follows a rotation of 90 degrees.

Rotation of 270 degrees (ORO, 270°):

(x, y) → (y, -x)

We also apply this rule to each vertex:

X(0, 0) → Z'(0, -0) = (0, 0)

Y(0, -2) → X'(-2, 0)

Z(-2, -2) → Y'(-2, 2)

This transformation follows a rotation of 270 degrees.

complete question:

Triangle XYZ with vertices X(0, 0), Y(0, -2), and Z(-2,-

2) is rotated to create the image triangle X'(0, 0),

Y'(2, 0), and Z'(2,-2).

Which rules could describe the rotation? Select

two options.

ORO, 90°

ORO, 180°

ORO, 270°

(x,y) → (-y, x)

(x,y) → (y. -x)

User Hadi Moshayedi
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7.6k points