Assertion: regular polygon's side | /r/HasProperty | congruent
Facets:
value: to each other
type: TRANSITIVE-OBJECT
value: for rectangles
type: PURPOSE
value: for a square
type: OTHER
value: for squares
type: LOCATION
Source sentences:
text: A regular polygon has congruent sides and interior angles.
text: A regular polygon, remember, is a polygon whose sides and interior angles are all congruent.
text: A regular polygon has congruent sides and interior angles.
text: Regular polygons have congruent sides and interior angles.
text: A rectangle is a special quadrilateral where opposite sides are congruent -- that is, the same length -- and each angle is a right angle.
text: A square is also a special quadrilateral because all four sides are congruent and all four angles are right angles.
text: Opposite sides are congruent for squares and rectangles.
text: The one important difference is that all four sides are congruent for a square.
text: An equilateral triangle can be thought of as the square's cousin since all three sides are congruent.
text: Another special triangle is the isosceles triangle, where only two sides are congruent.
text: A regular hexadecagon is a hexadecagon in which all angles are equal and all sides are congruent.
text: For example, in a rectangle, you only need one length and one width, because an identifying property of rectangles is that opposite sides are congruent.
text: So all sides are congruent,
text: A regular polygon with all sides that are congruent and all angles that are congruent.
text: A regular polygon with all sides that are congruent and all angles that are congruent.
text: A regular polygon with all sides that are congruent and all angles that are congruent.
text: Therefore, for an isosceles triangle to be regular polygon, it needs the base to be equal in length to each of the other two sides that already are congruent to each other.
text: Congruence of all interior angles in case when all three sides are congruent is a standard theorem that is proven in the course of elementary geometry.
text: A regular polygon is one that has all congruent sides AND all equal inside angles.