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Figure 1: The point O is an external homothetic center for the two triangles. The size of each figure is proportional to its distance from the homothetic center. In geometry, a homothetic center (also called a center of similarity or a center of similitude) is a point from which at least two geometrically similar figures can be seen as a dilation or contraction of one another.
Note hatch marks are used here to show angle and side equalities. In elementary geometry the word congruent is often used as follows. [2] 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.
In mathematics, an isometry (or congruence, or congruent transformation) is a distance-preserving transformation between metric spaces, usually assumed to be bijective. [ a ] The word isometry is derived from the Ancient Greek : ἴσος isos meaning "equal", and μέτρον metron meaning "measure".
Triangles are congruent if they have all three sides equal (SSS), two sides and the angle between them equal (SAS), or two angles and a side equal (ASA) (Book I, propositions 4, 8, and 26). Triangles with three equal angles (AAA) are similar, but not necessarily congruent. Also, triangles with two equal sides and an adjacent angle are not ...
The level of ethanol consumption that minimizes the risk of disease, injury, and death is subject to some controversy. [16] Several studies have found a J-shaped relationship between alcohol consumption and health, [17] [18] [2] [19] meaning that risk is minimized at a certain (non-zero) consumption level, and drinking below or above this level increases risk, with the risk level of drinking a ...
This is because two ellipses can have different width to height ratios, two rectangles can have different length to breadth ratios, and two isosceles triangles can have different base angles. Figures shown in the same color are similar. If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the ...
A drawing of a butterfly with bilateral symmetry, with left and right sides as mirror images of each other.. In geometry, an object has symmetry if there is an operation or transformation (such as translation, scaling, rotation or reflection) that maps the figure/object onto itself (i.e., the object has an invariance under the transform). [1]
Einstein effect (disambiguation), several different effects in physics; Einstein–de Haas effect (science) Electro-optic effect (nonlinear optics) Electrocaloric effect (cooling technology) (heat pumps) Electron-cloud effect (particle accelerators) (physics) Electroviscous effects (colloid chemistry) (surface chemistry)