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  2. Congruence (geometry) - Wikipedia

    en.wikipedia.org/wiki/Congruence_(geometry)

    Congruence permits alteration of some properties, such as location and orientation, but leaves others unchanged, like distances and angles. The unchanged properties are called invariants . 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.

  3. Corresponding sides and corresponding angles - Wikipedia

    en.wikipedia.org/wiki/Corresponding_sides_and...

    The orange and green quadrilaterals are congruent; the blue one is not congruent to them. Congruence between the orange and green ones is established in that side BC corresponds to (in this case of congruence, equals in length) JK, CD corresponds to KL, DA corresponds to LI, and AB corresponds to IJ, while angle ∠C corresponds to (equals) angle ∠K, ∠D corresponds to ∠L, ∠A ...

  4. Table of congruences - Wikipedia

    en.wikipedia.org/wiki/Table_of_congruences

    Clement's congruence-based theorem characterizes the twin primes pairs of the form (, +) through the following conditions: [()! +] ((+)), +P. A. Clement's original 1949 paper [2] provides a proof of this interesting elementary number theoretic criteria for twin primality based on Wilson's theorem.

  5. Similarity (geometry) - Wikipedia

    en.wikipedia.org/wiki/Similarity_(geometry)

    Similar figures. In Euclidean geometry, two objects are similar if they have the same shape, or if one has the same shape as the mirror image of the other.More precisely, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection.

  6. Playfair's axiom - Wikipedia

    en.wikipedia.org/wiki/Playfair's_axiom

    The classical equivalence between Playfair's axiom and Euclid's fifth postulate collapses in the absence of triangle congruence. [18] This is shown by constructing a geometry that redefines angles in a way that respects Hilbert's axioms of incidence, order, and congruence, except for the Side-Angle-Side (SAS) congruence.

  7. Ohio State's Jeremiah Smith becomes first freshman in 19 ...

    www.aol.com/sports/ohio-states-jeremiah-smith...

    Smith is also on his way to breaking an Ohio State record. The 60-yard TD catch tied Pro Football Hall of Famer Cris Carter for the most receiving TDs in a season by an OSU freshman.

  8. Ex-NYC Rep. Michael Grimm ‘paralyzed from chest down ... - AOL

    www.aol.com/ex-nyc-rep-michael-grimm-201617293.html

    Former Staten Island Congressman Michael Grimm has been left paralyzed from the chest down after falling off of a horse in a freak polo accident in September, pals told The Post on Sunday.. The 54 ...

  9. Once Popular Tourist Hotspots That Are Now Totally Abandoned

    www.aol.com/finance/once-popular-tourist...

    Not all ghost towns are from the Old West, and the reasons vary why a popular tourist destination might become abandoned. Here are 16 from Detroit to Taiwan.

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