Q: Does "drag" have the same meaning in the following two sentences?

He performed in drag.

The waitresses looked like missionaries in drag.

A: the same meaning

Q: Does "space" have the same meaning in the following two sentences?

They tested his ability to locate objects in space.

Write your name in the space provided.

A: different meanings

Q: Does "empathize" have the same meaning in the following two sentences?

You really have to empathize with them.

You've really got to empathize with what they want.

A:
the same meaning