Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation.

Question

anonymous · Answer

attachment

anonymous · Answer

Which statement about Polygon PQRST and its image after dilation, Polygon P'Q'R'S'T', is correct?

anonymous · Answer

Select one:
a. The lengths of side RQ and side R'Q' are in the ratio 1:3.
b. The length of diagonal RT is equal to the length of diagonal R'T'.
c. The measures of angle S and angle S' are in the ratio 1:3.
d. The length of side PQ is equal to the length of side P'Q'.

anonymous · Answer

@Directrix

anonymous · Answer

@Directrix

anonymous · Answer

Use distance formula and similar triangles.

anonymous · Answer

im stil confused ill give medals

mertsj · Answer

Similar polygons:  the angles are congruent.

anonymous · Answer

so what do I do now

mertsj · Answer

Choose the option that says angles are congruent!!!

directrix · Answer

The angles are in a 1:1 ratio and the sides are in a 1:3 ratio (from small polygon to larger).

anonymous · Answer

there is no option that says that

anonymous · Answer

so its between a and c

anonymous · Answer

All the lengths can be computed using the distance formula.All the angles are congruent.Do the computations and find the answer for yourself.

anonymous · Answer

how is that's supposed to help me

directrix · Answer

@Mertsj 

What wrong with this option:  a. The lengths of side RQ and side R'Q' are in the ratio 1:3.

mertsj · Answer

Yes.  Sorry.

anonymous · Answer

so a is the official answr right

directrix · Answer

A is the official answer, yes.