Prepositions after verbs

Intersect with, at, by, in, or on?

Intersect with is the standard pattern when two lines, roads, or ideas cross. Other prepositions usually add location or context.

Quick answer

Which form is standard?

Use intersect with when one thing crosses another. At can show the point of intersection. In and on usually introduce context or location.

The highway intersects with Route 8 near the city.
The two paths intersect at the bridge.

Choose the pattern by meaning

These forms are not interchangeable. Choose the construction by meaning, not by which preposition appears most often.

1
intersect with + thing

Showing two things crossing

Use intersect with for roads, lines, themes, or ideas that cross.

The river intersects with the canal downstream.
2
intersect at + point

Naming the meeting point

At introduces the place where lines or routes meet.

The streets intersect at the square.
3
intersect in + area/context

Showing a broader setting

In introduces a field, area, or context.

Their interests intersect in environmental policy.

See the difference in context

The same subject can take different constructions because each sentence answers a different question.

Construction
Example
Meaning
intersect with
The tracks intersect with the main road.
cross or meet another thing
intersect at
The lines intersect at one point.
meet at a specific place
intersect by
Intersect by is not a standard pattern.
use intersect with instead
intersect in
The topics intersect in several ways.
share overlap within a context
intersect on
The discussions intersect on privacy issues.
on introduces a topic area

Common mistakes

Some combinations appear in real text but do not mean what learners often assume.

Using intersect by as a fixed pattern

Standard English uses intersect with.

✕ The road intersects by the river. ✓ The road intersects with the river.

Confusing with and at

Use with for the thing crossed and at for the location.

✕ The lines intersect with one point. ✓ The lines intersect at one point.

Quick practice

Choose the expression that matches the intended meaning.

1. The railway intersects ___ the coastal highway.
2. The roads intersect ___ the traffic lights.
3. Their research interests intersect ___ digital education.

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Frequently asked questions

Can intersect be used metaphorically?

Yes. It often describes overlapping interests, ideas, or experiences.

Is intersect transitive?

It can be. For example: The river intersects the border.

What is the difference between intersect and overlap?

Intersect suggests crossing or meeting, while overlap focuses on sharing common parts.

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