Polygon PQRST shown below is dilated with a scale factor of 3, keeping the origin as the center of dilation: Which statement about polygon PQRST and its image after dilation, polygon P'Q'R'S T is correct?

1) the length of diagonal RT is equal to the length of diagonal R’T’
2) The links of side RQ and side R’Q’ are in the ratio of 1:3
3) The measures of angle S and then angle S’ are in the ratio 1:3
4:) The length of side PQ is equal to the length of side P’Q’

have the first of my own thread is that is

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

11) obtuse

13)right

15) acute