Which transformations could be performed to show that △ABC is similar to △A"B"C"?

a reflection over the x-axis, then a dilation by a scale factor of 3

a reflection over the x-axis, then a dilation by a scale factor of 1/3

a 180° rotation about the origin, then a dilation by a scale factor of 3

a 180° rotation about the origin, then a dilation by a scale factor of 1/3

Step-by-step explanation:

In first two options it applies reflection and dilation.

In reflection, it just rotates 180 degree with respect to the given axis. It does not change any angle of the given triangle.

Dilation just enlarge the image as per the given scale factor.

In dilation the ratio of the sides are equal to the given scale factor.

Hence, these two transformations provides a mirror image of △ABC with an enlargement of the corresponding scale factor.

In the third and fourth option, the transformation also involves only rotation and dilation.

Hence, third and fourth option also provides a mirror image of △ABC with an enlargement of the corresponding scale factor.

All the transformations takes to similar triangles.

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Step-by-step explanation:

im taking the test

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x

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step-by-step explanation:

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