Draw the image of each figure under the given transformation. then describe the transformation in words.

The vertices of image are P'(1,2), Q'(4,3) and R'(2,-3). The graph of PQR translate 5 units right to form P'Q'R'.

Step-by-step explanation:

From the given figure it is clear that the vertices of triangle PQR are P(-4,2), Q(-1,3) and R(-3,-3).

The rule of transformation is

The vertices of image are

The vertices of image are P'(1,2), Q'(4,3) and R'(2,-3). The graph of PQR translate 5 units right to form P'Q'R'.

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'.