Structures for a transistor including regions for landing gate contacts and methods of forming a structure for a transistor that includes regions for landing gate contacts. The structure includes a field-effect transistor having a source region, a gate region, a gate with a sidewall, and a gate extension with a section adjoined to the sidewall. The structure further includes a dielectric layer over the field-effect transistor, and a gate contact positioned in the dielectric layer to land on at least the section of the gate extension.