K’l’m’n’ is a dilation image of klmn. the center of the dilation is the origin. a) is the dilation an enlargement or a reduction? b) what is the scale factor of the dilation?

A) A contraction

B) A scale factor of 1/2

Step-by-step explanation:

The pre-image is LMNK and the image is L'M'N'K' and because the image is smaller than the pre-image, it is a contraction.

For the scale factor, we know it has to be at least less than 1 because it is a contraction. Notice the pre-image points are always exactly in the middle of the pre-image point and the origin, so we can assume that the scale factor is 1/2.

Hope this helps.

Have a good day! :)

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'.