Q: What is a polygon with the same length and all angles the same measure?

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Yes.

a regular polygon

homogenous

This is the definition of a "regular" polygon.

A regular polygon.Regular polygon

Related questions

a polygon with all sides the same length and all angles the same measure is called?

Yes.

A regular polygon.

a regular polygon

an irregular polygon.

regular polygon

Any regular polygon

homogenous

This is the definition of a "regular" polygon.

A regular polygon.Regular polygon

To be a regular polygon, the polygon will have all of its sides the same length, and all of its angles the same measure.

Its called a regular polygon