Lesson 4.4 Are There Congruence Shortcuts? notes
... 4.4 Are There Congruence Shortcuts? _______________________ – Two triangles that are the same size and shape. Corresponding angles and corresponding sides are congruent. E ...
... 4.4 Are There Congruence Shortcuts? _______________________ – Two triangles that are the same size and shape. Corresponding angles and corresponding sides are congruent. E ...
Grade 7 Math OAT Authentic Questions
... Describe how the cone and the cylinder will look when each object is viewed from the top. Draw and label sketches of this top-view perspective. On the same piece of paper, now describe how the cone and the cylinder will look when each object is viewed from the front. Draw and label sketches of this ...
... Describe how the cone and the cylinder will look when each object is viewed from the top. Draw and label sketches of this top-view perspective. On the same piece of paper, now describe how the cone and the cylinder will look when each object is viewed from the front. Draw and label sketches of this ...
UNIT PLAN TEMPLATE
... Culminating Assessment: (requirements of assessment are based on time and student need. For example, fewer examples of items – 1 quadrilateral instead of 3. Instead of “find,” “draw.”) Create a polygon scrapbook that contains the following: Identification of congruent shapes. Classification of polyg ...
... Culminating Assessment: (requirements of assessment are based on time and student need. For example, fewer examples of items – 1 quadrilateral instead of 3. Instead of “find,” “draw.”) Create a polygon scrapbook that contains the following: Identification of congruent shapes. Classification of polyg ...
Lesson 3.04 KEY Main Idea (page #) DEFINITION OR SUMMARY
... and the sides around that angle have the same simplified fraction, then the triangles are similar. If all three corresponding sides of two or more similar ...
... and the sides around that angle have the same simplified fraction, then the triangles are similar. If all three corresponding sides of two or more similar ...
STAGE 3: PLAN LEARNING EXPERIENCES AND INSTRUCTION
... For any triangle, the sum of the two shorter sides must be greater than the longest side or it will not form a triangle An equilateral triangle has three sides that are the same length An isosceles triangle has two sides that are the same length A scalene triangle has three sides of differen ...
... For any triangle, the sum of the two shorter sides must be greater than the longest side or it will not form a triangle An equilateral triangle has three sides that are the same length An isosceles triangle has two sides that are the same length A scalene triangle has three sides of differen ...
F E I J G H L K
... T (h) If two angles of a scalene triangle are complementary then the triangle is a right triangle. The sum of the measures of the vertex angles of a triangle is 180 degrees. So if two of the angles are complementary that means the sum of their measures is 90 degrees. Hence the measure of the third a ...
... T (h) If two angles of a scalene triangle are complementary then the triangle is a right triangle. The sum of the measures of the vertex angles of a triangle is 180 degrees. So if two of the angles are complementary that means the sum of their measures is 90 degrees. Hence the measure of the third a ...
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.