Easier way to solve these 2 questions pls?

any rules/properties to know here?

here why is AC the base in triangle ACD and not CD? how do you tell

explain pls?

Which videos were these from as I need to review. #2 is tough, but I used Pythagorean Theorem to get D. Guessing D for 1, since you could move BC and AD to make the lengths equal/not equal and D for #3, using the radius of 1 as height for triangle RST - not sure if I got it right.

Inscribed angle theorem might be helpful

Try to label all the angles as either x or 90 - x. Alternatively, you can just directly apply geometric mean theorem.

What have you tried?

The rules on what you can (and cannot) assume on the GRE for geometry. See the ETS Math Review.

how do you decide the base of this triangle since we dont know the length of RS in triangle RST.

Can you pls explain question 2 in detail maybe?