**answer asap will give brainliest** **pictures shown below** 3. the blue triangle (the larger one) is a dilation image of the black triangle (the smaller one) with the center at the origin. is the dilation an enlargement of a reduction? find the scale factor of the dilation. 4. find the image of the vertices for a dilation with center (0,0) and a scale factor of 3.

3.

Dilation is a transformation that produces an image that is of same shape as the original, but in a different size.

*The value of scale factor ( i.,e k) determines whether the dilation is an enlargement or a reduction.

If , then the  dilation is an enlargement.  

If , then the dilation is a reduction.

To find the scale factor:

In other words, a dilation is a rule that moves points in the plane a specific distance, determined by the scale factor k, from a center O.

Labelled the Blue triangle as A',B', and C'

Also, for black triangle as A, B, and C as you can see the figure  shown below in the attachment.

Scale factor is given by;

k =  where O is the origin.

From the figure, A =(1, 2.5) and A' = (2,5)

By distance formula we can find the value of OA' and OA i.e,

Then,

or

Simplify:

k = >1

therefore, by definition of scale factor, the dilation is an enlargement.

4.

Given: the center of dilation at origin (0,0) with scale factor (c) = 3.

The vertices of ABCD are;

A = (3,0)

B = (1, -2)

C = (3 , -5) and  

D = (7 , -1)

The rule of dilation with center of dilation is given by:

where c is the scale factor i.e, c =3

Or  we can write it as;

The images of vertices of ABCD are;

= A'(9,0)

=B'(3,-6)

= C'(9,-15)

= D'(21, -3)

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: