Assertion: polygon's side | /r/HasAspect | same length
Facets:
value: in a regular polygon
type: LOCATION
value: respectively
type: MANNER
value: in a triangle
type: LOCATION
Source sentences:
text: In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
text: In an equilateral polygon, each side has the same length.
text: A square is a regular polygon because all sides have the same length and all angles measure the same: 90 degrees.
text: It follows that in a triangle where all angles have the same measure, all three sides have the same length, and such a triangle is therefore equilateral.
text: SAS Postulate: Two sides in a triangle have the same length as two sides in the other triangle, and the included angles have the same measure.
text: SSS: Each side of a triangle has the same length as a corresponding side of the other triangle.
text: Side-Side-Angle (or Angle-Side-Side) condition: If two sides and a corresponding non-included angle of a triangle have the same length and measure, respectively, as those in another triangle, then this is not sufficient to prove congruence; but if the angle given is opposite to the longer side of the two sides, then the triangles are congruent.
text: In a regular polygon, all sides have the same length, and all angles have the same measure.
text: In a regular polygon, all sides have the same length, and all angles have the same measure.
text: In a regular polygon, all sides have the same length, and all angles have the same measure.
text: In a regular polygon, all sides have the same length, and all angles have the same measure.