Polygon p'q'r's't' shown on the grid below is an image of polygon pqrst after dilation with a scale factor of 3, keeping the origin as the center of dilation: two polygons are drawn on a coordinate grid. polygon pqrst has vertices at p 0 and negative 3, q 3 and negative 2, r 3 and 1, s 0 and 2, t negative 2 and 0. polygon p prime q prime r prime s prime t prime has vertices at p prime 0 and negative 9, q prime 9 and negative 6, r prime 9 and 3, s prime 0 and 6, and t prime negative 6 and 0. which statement about corresponding sides and angles of the two polygons is correct? the measures of angle q and angle q' are in the ratio 1: 3. the length of side ts is equal to the length of side t's'. the length of diagonal rt is equal to the length of diagonal r't'. the lengths of side sr and side s'r' are in the ratio 1: 3.

D is the answer

The correct option is 4. The lengths of side SR and side S'R' are in the ratio 1:3.

Step-by-step explanation:

The vertices of polygon are P(0,-3), Q(3,-2), R(3,1), S(0,2), T(-2,0).

The vertices of image are P'(0,-9), Q'(9,-6), R'(9,3), S'(0,6), T'(-6,0).

It is given that polygon P'Q'R'S'T' is the image of polygon PQRST after dilation with a scale factor of 3. It means both polygons are similar.

The corresponding angles of similar figure and same and the corresponding sides are proportional. It means the sides of image are three times of the corresponding sides of pre-image.

SR and S'R' are corresponding sides.

The lengths of side SR and side S'R' are in the ratio 1:3.

Therefore the correct option is 4.

0.0076, if you meant 4.125 divided by 0.03125 it would be 132

step-by-step explanation:

first you have to move the decimal in 0.03125 over until its behind the 5 which is 5 places over. now the number is 3125

then you have to move the decimal in 4.125, 5 places over. now the number is 4,112,500.

now you divide like you would normally would and get 0.0076

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