CMP2: Kaleidoscopes, Hubcaps, and Mirrors (8th) Goals
... CMP2: Kaleidoscopes, Hubcaps, and Mirrors (8th) Goals: Understand important properties of symmetry. Recognize and describe symmetries of figures. Use tools to examine symmetries and transformations. Make figures with specified symmetries. Identify a basic design element that can be used with a trans ...
... CMP2: Kaleidoscopes, Hubcaps, and Mirrors (8th) Goals: Understand important properties of symmetry. Recognize and describe symmetries of figures. Use tools to examine symmetries and transformations. Make figures with specified symmetries. Identify a basic design element that can be used with a trans ...
Activity 8.4.2 Area of a Circle from Regular Polygons
... In Unit 5 you learned that you can circumscribe a circle about every triangle, but not every quadrilateral. So in general, not all polygons have circumcircles. However ,we can show that every regular polygon has a circumcircle. For a proof, see question 11 below. We’ll call the center of the circums ...
... In Unit 5 you learned that you can circumscribe a circle about every triangle, but not every quadrilateral. So in general, not all polygons have circumcircles. However ,we can show that every regular polygon has a circumcircle. For a proof, see question 11 below. We’ll call the center of the circums ...
Similar Polygons
... Similar Polygons have the same shape but not necessarily the same size. If two polygons are similar, the corresponding angles are congruent and the corresponding sides are proportional. If two polygons are similar, the ratios of the lengths of corresponding side are equal. The ratio is called the sc ...
... Similar Polygons have the same shape but not necessarily the same size. If two polygons are similar, the corresponding angles are congruent and the corresponding sides are proportional. If two polygons are similar, the ratios of the lengths of corresponding side are equal. The ratio is called the sc ...
Regular Tesselations in the Euclidean Plane, on the
... (b) two points in D cannot be moved to each other by the action of H. Loosely speaking, a fundamental domain is the smallest pattern in the tiling. The fundamental result in the theory is the following theorem: Theorem: there are exactly seventeen crystallographic groups. We won’t prove this theorem ...
... (b) two points in D cannot be moved to each other by the action of H. Loosely speaking, a fundamental domain is the smallest pattern in the tiling. The fundamental result in the theory is the following theorem: Theorem: there are exactly seventeen crystallographic groups. We won’t prove this theorem ...
Geometry
... Part 2… Show all work required to complete each of the following. 1) What is another name for a regular triangle? What is the measure of each exterior angle? ...
... Part 2… Show all work required to complete each of the following. 1) What is another name for a regular triangle? What is the measure of each exterior angle? ...
Lesson Plan - The Online PD
... we can draw in the number of diagonals). Who remembers what a diagonal is? How many nonintersecting diagonals can you draw in a quadrilateral? How many triangles are formed? How many degrees are in a triangle? So how many degrees are in a quadrilateral? Let’s do a pentagon. How many non-intersecting ...
... we can draw in the number of diagonals). Who remembers what a diagonal is? How many nonintersecting diagonals can you draw in a quadrilateral? How many triangles are formed? How many degrees are in a triangle? So how many degrees are in a quadrilateral? Let’s do a pentagon. How many non-intersecting ...
Unit3_Investigation7_overview
... the class in a discussion to arrive at a properties of tessellations. They may generate a list similar to this: ...
... the class in a discussion to arrive at a properties of tessellations. They may generate a list similar to this: ...
line symmetry of a figure - Manhasset Public Schools
... Do Now: In the diagram below: Sketch Triangle B, the reflection of Triangle A across line x. Sketch Triangle C, the reflection of Triangle B across line y. Complete: Line x and line y are each a _______ __ ________________. ...
... Do Now: In the diagram below: Sketch Triangle B, the reflection of Triangle A across line x. Sketch Triangle C, the reflection of Triangle B across line y. Complete: Line x and line y are each a _______ __ ________________. ...
Exploring the Properties of Rectangular Prisms 2
... Key words: polygon, interior angles, vertices, translation, faces, base, three-dimensional, rectangular prism ...
... Key words: polygon, interior angles, vertices, translation, faces, base, three-dimensional, rectangular prism ...
worksheet - hrsbstaff.ednet.ns.ca
... Intro: a polygon is defined as a shape on a plane (a 2D shape) that is bounded by a certain number of straight line segments that form a loop. Examples at right: We often think of polygons like rectangles, triangles, pentagons, where the internal angles at each vertex are less than 180o… These are e ...
... Intro: a polygon is defined as a shape on a plane (a 2D shape) that is bounded by a certain number of straight line segments that form a loop. Examples at right: We often think of polygons like rectangles, triangles, pentagons, where the internal angles at each vertex are less than 180o… These are e ...
Freehand Sketching - My FIT (my.fit.edu)
... Alternatively, angles can be denoted by decimal degrees. Example 37.43611 (degrees). ...
... Alternatively, angles can be denoted by decimal degrees. Example 37.43611 (degrees). ...
6.9 Curriculum Framework
... Congruent figures have exactly the same size and the same shape. Line segments are congruent if they have the same length. Angles are congruent if they have the same measure. Congruent polygons have an equal number of sides, and all the corresponding sides and angles are congruent. ...
... Congruent figures have exactly the same size and the same shape. Line segments are congruent if they have the same length. Angles are congruent if they have the same measure. Congruent polygons have an equal number of sides, and all the corresponding sides and angles are congruent. ...
Regular polytope
In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j-faces (for all 0 ≤ j ≤ n, where n is the dimension of the polytope) — cells, faces and so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n. Regular polytopes are the generalized analog in any number of dimensions of regular polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes gives them an aesthetic quality that interests both non-mathematicians and mathematicians.Classically, a regular polytope in n dimensions may be defined as having regular facets [(n − 1)-faces] and regular vertex figures. These two conditions are sufficient to ensure that all faces are alike and all vertices are alike. Note, however, that this definition does not work for abstract polytopes.A regular polytope can be represented by a Schläfli symbol of the form {a, b, c, ...., y, z}, with regular facets as {a, b, c, ..., y}, and regular vertex figures as {b, c, ..., y, z}.