Ch 11 Vocab and Conjectures
... Parallel/Proportional sides ________________. ity Conjecture Conversely, if a line cuts two sides of a triangle proportionally, then it is ______________ to the third side. If two or more lines pass through two sides of a triangle parallel to the third ...
... Parallel/Proportional sides ________________. ity Conjecture Conversely, if a line cuts two sides of a triangle proportionally, then it is ______________ to the third side. If two or more lines pass through two sides of a triangle parallel to the third ...
Similarity is the position or condition of being similar or possessing
... Similarity is the position or condition of being similar or possessing the same qualities as another object. Two objects are considered to be similar if they both have the same shape. Which means, one congruent (when two figures fit exactly onto each other, they must be the same shape and size) to t ...
... Similarity is the position or condition of being similar or possessing the same qualities as another object. Two objects are considered to be similar if they both have the same shape. Which means, one congruent (when two figures fit exactly onto each other, they must be the same shape and size) to t ...
Geometry Chapter 8 Review
... 45. An isosceles trapezoid is ___________________a parallelogram. 46. A rectangle is _____________________ a square. ...
... 45. An isosceles trapezoid is ___________________a parallelogram. 46. A rectangle is _____________________ a square. ...
Geometry Student Project Material Outline
... -Explain that if 2 angles of a triangle are = then the sides opposite those angles are =. - Explain that if 2 sides of a triangle are = then the angles opposite those sides are =. -Explain that if a triangle is equiangular it is equilateral and vice versa. -Explain how to prove and solve for parts o ...
... -Explain that if 2 angles of a triangle are = then the sides opposite those angles are =. - Explain that if 2 sides of a triangle are = then the angles opposite those sides are =. -Explain that if a triangle is equiangular it is equilateral and vice versa. -Explain how to prove and solve for parts o ...
proving triangle similarity
... • determine whether two triangles are similar • prove or disprove triangle similarity using similarity shortcuts (AA, SSS, SAS) ...
... • determine whether two triangles are similar • prove or disprove triangle similarity using similarity shortcuts (AA, SSS, SAS) ...
Penrose tiling
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A Penrose tiling is a non-periodic tiling generated by an aperiodic set of prototiles. Penrose tilings are named after mathematician and physicist Roger Penrose, who investigated these sets in the 1970s. The aperiodicity of the Penrose prototiles implies that a shifted copy of a Penrose tiling will never match the original. A Penrose tiling may be constructed so as to exhibit both reflection symmetry and fivefold rotational symmetry, as in the diagram at the right. A Penrose tiling has many remarkable properties, most notably:It is non-periodic, which means that it lacks any translational symmetry. It is self-similar, so the same patterns occur at larger and larger scales. Thus, the tiling can be obtained through ""inflation"" (or ""deflation"") and any finite patch from the tiling occurs infinitely many times.It is a quasicrystal: implemented as a physical structure a Penrose tiling will produce Bragg diffraction and its diffractogram reveals both the fivefold symmetry and the underlying long range order.Various methods to construct Penrose tilings have been discovered, including matching rules, substitutions or subdivision rules, cut and project schemes and coverings.