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6 geometry nrich - Carmel Archimedes Maths Hub
... rectangles, parallelograms and rhombuses, specified by co-ordinates in the four quadrants, predicting missing co-ordinates using the properties of shapes The two shaded squares below are the same size. A is the point (17,8), B is the point (7, -2). What are the coordinates of point C? ...
... rectangles, parallelograms and rhombuses, specified by co-ordinates in the four quadrants, predicting missing co-ordinates using the properties of shapes The two shaded squares below are the same size. A is the point (17,8), B is the point (7, -2). What are the coordinates of point C? ...
GEOMETRY (GEO - 6 weeks) - Carmel Archimedes Maths Hub
... rectangles, parallelograms and rhombuses, specified by co-ordinates in the four quadrants, predicting missing co-ordinates using the properties of shapes ...
... rectangles, parallelograms and rhombuses, specified by co-ordinates in the four quadrants, predicting missing co-ordinates using the properties of shapes ...
Congruent Triangles
... An exterior angle is formed by one side of a _________________ and the extension of another __________. Remote interior angles are the angles of a triangle that are not ________________ to a given __________________ angle. The measure of an exterior angle of a triangle is ____________ to the s ...
... An exterior angle is formed by one side of a _________________ and the extension of another __________. Remote interior angles are the angles of a triangle that are not ________________ to a given __________________ angle. The measure of an exterior angle of a triangle is ____________ to the s ...
My Many Triangles
... to create. Be sure students understand they need to attempt to make nine different types of triangles, two of which are not possible to create. Encourage students to try to make an equilateral obtuse angle and an equilateral right triangle so that they can see that it is not possible to create a thr ...
... to create. Be sure students understand they need to attempt to make nine different types of triangles, two of which are not possible to create. Encourage students to try to make an equilateral obtuse angle and an equilateral right triangle so that they can see that it is not possible to create a thr ...
Triangles WYZ and XZY are congruent
... • Are triangles ABC and DEF congruent? • A(-2,-2) B(4,-2) C(4,6) and D(5,7) E(5,1) F(13,1) – What types of lines make up the triangle? ...
... • Are triangles ABC and DEF congruent? • A(-2,-2) B(4,-2) C(4,6) and D(5,7) E(5,1) F(13,1) – What types of lines make up the triangle? ...
Example 2
... angles are equal and that all ratios of pairs of corresponding sides are equal, but with triangles, this is not necessary. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. It is however not essential to prove all 3 angles of one tr ...
... angles are equal and that all ratios of pairs of corresponding sides are equal, but with triangles, this is not necessary. Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. It is however not essential to prove all 3 angles of one tr ...
January 17, 2017 - Ottawa Hills Local Schools
... 3. Side-Angle-Side (SAS) Similarity Theorem: If 2 sides of one triangle are proportional to 2 sides of another triangle, and their included angles are congruent, then the triangles are similar. F C A If ...
... 3. Side-Angle-Side (SAS) Similarity Theorem: If 2 sides of one triangle are proportional to 2 sides of another triangle, and their included angles are congruent, then the triangles are similar. F C A If ...
Penrose tiling
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.