hypotenuse$37067$ - translation to ιταλικό
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hypotenuse$37067$ - translation to ιταλικό

WHEN TWO FIGURES OR OBJECTS IN GEOMETRY HAVE THE SAME SHAPE AND SIZE, OR IF ONE HAS THE SAME SHAPE AND SIZE AS THE MIRROR IMAGE OF THE OTHER
CPCTC; CPCFC; Corresponding parts of congruent triangles are congruent; Corresponding parts of congruent figures are congruent; Side angle side; AAA theorem; AAS theorem; ASA theorem; Equality (objects); Congruent triangles; Aas theorem; Asa theorem; ≋; ASS Theorem; Congruence in geometry; Congruent angles; Criteria of congruence of angles; Congruence axioms; Congruence axiom; Axioms of congruence; CPCF; Congruent triangle; SSS postulate; SSS Postulate; Hypotenuse Leg; Triangle congruence; Side side side; Side-side-side congruence; SSS Theorem; SSS theorem; Sss theorem

hypotenuse      
n. (Geom) ipotenusa

Ορισμός

hypotenuse
[h??'p?t?nju:z, -s]
¦ noun the longest side of a right-angled triangle, opposite the right angle.
Origin
C16: via L. hypotenusa from Gk hupoteinousa (gramme) 'subtending (line)', from hupo 'under' + teinein 'stretch'.

Βικιπαίδεια

Congruence (geometry)

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

More formally, two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Therefore two distinct plane figures on a piece of paper are congruent if they can be cut out and then matched up completely. Turning the paper over is permitted.

In elementary geometry the word congruent is often used as follows. The word equal is often used in place of congruent for these objects.

  • Two line segments are congruent if they have the same length.
  • Two angles are congruent if they have the same measure.
  • Two circles are congruent if they have the same diameter.

In this sense, two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters, and areas.

The related concept of similarity applies if the objects have the same shape but do not necessarily have the same size. (Most definitions consider congruence to be a form of similarity, although a minority require that the objects have different sizes in order to qualify as similar.)