What ratios can we say are equivalent to 2: 3?

Drag each sequence of transformations to the correct location on the table. classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape i onto shape ii. plz i'll rate u 5 stars need this done for a mastery test

Can someone me with these two circle theorem questions asap?

What is the length of the segment, endpoints of which are intersections of parabolas y=x2? 11 4 x? 7 4 and y=? 7 8 x2+x+ 31 8 ?