Melanie wants to create a pattern using a transformation that will change the orientation of a figure but not the orientation of the vertices. Which transformation should she use?

Rotations

Step-by-step explanation:

The orientation of the figure is how the whole shape appearance. You don't need to name vertice to determine the orientation of the figure. It will not change from translations and dilations, so these two are out of option.

The orientation of vertices, on the other hand, needs you to know the vertice name. It can be expressed as clockwise or counterclockwise. The orientation of vertice will be preserved for translations, rotations, and dilations so it should be one of them. Notice that translation and dilation already out of option so the answer will be rotations.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.