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

The Democratic Party is an umbrella for many liberal groups.

Under the umbrella of capitalism.

OPTIONS:
- different meanings
- the same meaning

A: the same meaning

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

Grate one's teeth in anger.

To grate a window.

OPTIONS:
- different meanings
- the same meaning

A: different meanings

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

To snap a whip.

To snap a fastener.

OPTIONS:
- different meanings
- the same meaning

A:
the same meaning