Is there a series of rigid transformations that could map
ARST to AXYT? If so, which transformations could be
used?
O NO. ARST and AXYT are congruent but ARST cannot
be mapped to AXYT using a series rigid transformations.
No, ARST and AXYT are not congruent.
O Yes, ARST can be reflected across the line containing
RT and then rotated about T so that S is mapped to Y.
Yes, ARST can be translated so that S is mapped to Y
and then rotated about S so that Ris mapped to X.

the answer is 15% decrease

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .