What are transformations?
... turned (rotated) a certain number of degrees and the object looks the same. A geometric figure has rotational symmetry if the figure is the image of itself under a rotation about a point through any angle whose measure is strictly between 0º and 360º. The angles of 0º and 360º are excluded since not ...
... turned (rotated) a certain number of degrees and the object looks the same. A geometric figure has rotational symmetry if the figure is the image of itself under a rotation about a point through any angle whose measure is strictly between 0º and 360º. The angles of 0º and 360º are excluded since not ...
Lesson Title:Reading Graphs for Information
... Part 3: Highlights and Summary Polygons can be described and sorted according to: o number of sides o length of sides o types of angles o lines of symmetry There are different ways of finding lines of symmetry. The more sides a regular polygon has, the more lines of symmetry there will be. The numbe ...
... Part 3: Highlights and Summary Polygons can be described and sorted according to: o number of sides o length of sides o types of angles o lines of symmetry There are different ways of finding lines of symmetry. The more sides a regular polygon has, the more lines of symmetry there will be. The numbe ...
Polygons and their Properties 4.1. Polygons
... 6. Recall the theorem about the constructible regular polygons mentioned in Chapter Three that was proved by Gauss. List all regular polygons with fewer than 50 sides that can be constructed with compass and straightedge. 7. Using Sketchpad we are able to construct shapes with rotational symmetries. ...
... 6. Recall the theorem about the constructible regular polygons mentioned in Chapter Three that was proved by Gauss. List all regular polygons with fewer than 50 sides that can be constructed with compass and straightedge. 7. Using Sketchpad we are able to construct shapes with rotational symmetries. ...
For each REGULAR polygon, find the SUM of the interior angles
... For each REGULAR polygon, find the SUM of the interior angles AND EACH interior angle. 1. Regular Nonagon ...
... For each REGULAR polygon, find the SUM of the interior angles AND EACH interior angle. 1. Regular Nonagon ...
Name: 4-6 HW Geometry Period ______ Date ______ Directions
... 5) What is the sum of the exterior angles of a polygon with 5,128 sides? ...
... 5) What is the sum of the exterior angles of a polygon with 5,128 sides? ...
Area of a regular pentagon
... Prompts from the teacher could be: 1. Draw a pentagon. 2. Consider the way it could be divided up into right angled triangles and rectangles. Notice the symmetry of the shape. Mark out the rectangles and triangles you will calculate the areas of. 3. Label all the sides and angles that you know. 4. C ...
... Prompts from the teacher could be: 1. Draw a pentagon. 2. Consider the way it could be divided up into right angled triangles and rectangles. Notice the symmetry of the shape. Mark out the rectangles and triangles you will calculate the areas of. 3. Label all the sides and angles that you know. 4. C ...
Unit 6 Learning Targets
... DesCartes’ Theorem = the sum of the defects of all of the vertices, is two full circles or 720° Euler’s Formula for Polyhedra: V + F = E + 2 Skills: Identify and describe important characteristics of common three-dimensional shapes including prisms, pyramids, cones, and cylinders Construct and sketc ...
... DesCartes’ Theorem = the sum of the defects of all of the vertices, is two full circles or 720° Euler’s Formula for Polyhedra: V + F = E + 2 Skills: Identify and describe important characteristics of common three-dimensional shapes including prisms, pyramids, cones, and cylinders Construct and sketc ...
Format:
... For more able students, the teacher can arrange students in groups to tessellate with more than one type of regular polygons. They are asked to draw as many combinations as possible. The following criteria should be discussed with students: (a) There should not be more than six polygons (six angles ...
... For more able students, the teacher can arrange students in groups to tessellate with more than one type of regular polygons. They are asked to draw as many combinations as possible. The following criteria should be discussed with students: (a) There should not be more than six polygons (six angles ...
Exemplar 15: Tessellation in a Plane
... For more able students, the teacher can arrange students in groups to tessellate with more than one type of regular polygons. They are asked to draw as many combinations as possible. The following criteria should be discussed with students: (a) There should not be more than six polygons (six angles ...
... For more able students, the teacher can arrange students in groups to tessellate with more than one type of regular polygons. They are asked to draw as many combinations as possible. The following criteria should be discussed with students: (a) There should not be more than six polygons (six angles ...
Mid-Term Review Part II
... State the postulate or theorem (SSS, SAS, ASA, AAS or HL) you can use to prove each pair of triangles congruent. If the triangles cannot be proven congruent, write not enough information. ...
... State the postulate or theorem (SSS, SAS, ASA, AAS or HL) you can use to prove each pair of triangles congruent. If the triangles cannot be proven congruent, write not enough information. ...
Section 10.3 – Polygons, Perimeter, and Tessellations – pg 126
... The Perimeter is the length around the outside of a closed two dimensional figure. For a polygon, the perimeter is the sum of the length of the sides of the polygon. We use the idea of perimeter when we calculate how much fencing we need to enclose a garden or the amount of wood we need to frame in ...
... The Perimeter is the length around the outside of a closed two dimensional figure. For a polygon, the perimeter is the sum of the length of the sides of the polygon. We use the idea of perimeter when we calculate how much fencing we need to enclose a garden or the amount of wood we need to frame in ...
Investigating properties of shapes
... Know the definitions of special triangles Know the definitions of special quadrilaterals Classify 2D shapes using given categories; e.g. number of sides, symmetry Know the angle sum of a triangle Know the angle sum of a quadrilateral Know how to find the angle sum of a any polygon Use the angle sum ...
... Know the definitions of special triangles Know the definitions of special quadrilaterals Classify 2D shapes using given categories; e.g. number of sides, symmetry Know the angle sum of a triangle Know the angle sum of a quadrilateral Know how to find the angle sum of a any polygon Use the angle sum ...
6-1 Lesson Quiz 6-1 Solve It!
... Objectives To find the sum of the measures of the interior angles of a polygon To find the sum of the measures of the exterior angles of a polygon ...
... Objectives To find the sum of the measures of the interior angles of a polygon To find the sum of the measures of the exterior angles of a polygon ...
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}.