Trigonometry - Nayland Maths
... Right pyramid A pyramid whose apex is vertically above the mid-point of the base. Rotation The movement of a figure when it is turned through an angle about a point in the plane. Rotational symmetry A shape has rotational symmetry if it can be rotated on to itself. Scale factor A number used as the ...
... Right pyramid A pyramid whose apex is vertically above the mid-point of the base. Rotation The movement of a figure when it is turned through an angle about a point in the plane. Rotational symmetry A shape has rotational symmetry if it can be rotated on to itself. Scale factor A number used as the ...
Quadrilaterals Study Guide
... b) If it is a polygon, tell whether it is regular or irregular based on its side lengths. c) If it is a polygon, give it a name based on its number of sides. d) If it is a polygon, determine whether it is convex or concave. ...
... b) If it is a polygon, tell whether it is regular or irregular based on its side lengths. c) If it is a polygon, give it a name based on its number of sides. d) If it is a polygon, determine whether it is convex or concave. ...
Activity 8.6.2 Golden Triangles
... compass and straightedge alone. (Recall from Unit 3 that we are able construct regular polygons with 3, 4, and 6 sides using only Euclid’s tools. Now we may add the regular pentagon to the list.) ...
... compass and straightedge alone. (Recall from Unit 3 that we are able construct regular polygons with 3, 4, and 6 sides using only Euclid’s tools. Now we may add the regular pentagon to the list.) ...
NIS Space Diagnostic
... My house has a shed to the west of it in the back yard and a water tank along ...
... My house has a shed to the west of it in the back yard and a water tank along ...
7.2_SimilarPolygons
... • Label your triangles 1a, 1b, 1c, 2a, 2b, 2c and 3a, 3b, 3c. Group 1 should be acute triangles, group 2 should be right triangles and group 3 should be obtuse triangles. Letter a should go with your smallest triangle, b the middle triangle and, and c the largest triangle. • Match up each groups cor ...
... • Label your triangles 1a, 1b, 1c, 2a, 2b, 2c and 3a, 3b, 3c. Group 1 should be acute triangles, group 2 should be right triangles and group 3 should be obtuse triangles. Letter a should go with your smallest triangle, b the middle triangle and, and c the largest triangle. • Match up each groups cor ...
MA.912.G.2 Geometry: Standard 2: Polygons
... relate geometry to algebra by using coordinate geometry to determine regularity, congruence, and similarity. They use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas, and prove theorems involving quadrilaterals. Describe, classify, and compare relatio ...
... relate geometry to algebra by using coordinate geometry to determine regularity, congruence, and similarity. They use properties of congruent and similar quadrilaterals to solve problems involving lengths and areas, and prove theorems involving quadrilaterals. Describe, classify, and compare relatio ...
Document
... • Parallel lines are two lines in a plane that never intersect or cross. • A line that intersects two or more other lines is called a transversal. • If the two lines cut by a transversal are parallel, then these special pairs of angles are congruent: alternate interior angles, alternate exterior ang ...
... • Parallel lines are two lines in a plane that never intersect or cross. • A line that intersects two or more other lines is called a transversal. • If the two lines cut by a transversal are parallel, then these special pairs of angles are congruent: alternate interior angles, alternate exterior ang ...
Honors Geometry Section 4.1 Congruent Polygons
... Honors Geometry Section 4.1 Congruent Polygons ...
... Honors Geometry Section 4.1 Congruent Polygons ...
P6 - CEMC
... Suggestions: This activity works best if students work in small groups with some direction from the teacher. Here are some suggestions. 1. For part a), divide students into six small groups, and have each group do the measurements for one triangle. Then collect the data for the whole class to verify ...
... Suggestions: This activity works best if students work in small groups with some direction from the teacher. Here are some suggestions. 1. For part a), divide students into six small groups, and have each group do the measurements for one triangle. Then collect the data for the whole class to verify ...
Combined Notes
... Option 2: Compare the side and angle measures. If all sides are equal and all angles are equal, the polygon are congruent. ...
... Option 2: Compare the side and angle measures. If all sides are equal and all angles are equal, the polygon are congruent. ...
Unit 6 Review Packet
... In questions 12-14, answer sometimes, always, never.. ____________12. Opposite angles of a parallelogram are supplementary. ____________13. A trapezoid has exactly one pair of parallel sides. ____________14. The diagonals of a square are congruent. ...
... In questions 12-14, answer sometimes, always, never.. ____________12. Opposite angles of a parallelogram are supplementary. ____________13. A trapezoid has exactly one pair of parallel sides. ____________14. The diagonals of a square are congruent. ...
- PebblePad
... pentagon, etc), we add another 180° to the total: (Note: it is a Regular Polygon when all sides are equal, all angles are equal.) ...
... pentagon, etc), we add another 180° to the total: (Note: it is a Regular Polygon when all sides are equal, all angles are equal.) ...
Polygons Standards: CSDE 3.1 Use properties and characteristics of
... sides_______________. Polygons can be ____________ or irregular. Regular ___________ have __________and _________ that are _____________. This means that the angles and sides have the same _______________. Examples of regular polygons are__________________, _______________, ______________and _______ ...
... sides_______________. Polygons can be ____________ or irregular. Regular ___________ have __________and _________ that are _____________. This means that the angles and sides have the same _______________. Examples of regular polygons are__________________, _______________, ______________and _______ ...
Geometry Notes 11-4 Pyramids
... Ex 3: A regular pyramid has a square base and four lateral sides that are isosceles triangles. The length of an edge of the base is 10 cm and the height of the pyramid is 12 cm. The length of the altitude to the base of each lateral side is 13 cm. ...
... Ex 3: A regular pyramid has a square base and four lateral sides that are isosceles triangles. The length of an edge of the base is 10 cm and the height of the pyramid is 12 cm. The length of the altitude to the base of each lateral side is 13 cm. ...
Task - Illustrative Mathematics
... Since m(∠BCF) = m(∠DCF) = 120 from part (a) we conclude that m(∠BCD) = 120. This means, from part (a), that angle BCD forms an interior angle of a regular hexagon congruent to the two hexagons pictured in part (a). In other words, a third hexagon can be placed as in the picture: ...
... Since m(∠BCF) = m(∠DCF) = 120 from part (a) we conclude that m(∠BCD) = 120. This means, from part (a), that angle BCD forms an interior angle of a regular hexagon congruent to the two hexagons pictured in part (a). In other words, a third hexagon can be placed as in the picture: ...
Area of Polygons and Circles
... angles of a polygon depends on the number of sides. Determining how many triangles are in each polygon will help you figure out the sum of the measures of the interior angles. ...
... angles of a polygon depends on the number of sides. Determining how many triangles are in each polygon will help you figure out the sum of the measures of the interior angles. ...
Geometry
... 3. Compare the properties of Euclidean geometry to non-Euclidean geometries (for example, elliptical geometry, as shown on the surface of a globe, does not uphold the parallel postulate) Standard 2: Properties of 2-Dimensional Figures - The student will use the properties and formulas of geometric f ...
... 3. Compare the properties of Euclidean geometry to non-Euclidean geometries (for example, elliptical geometry, as shown on the surface of a globe, does not uphold the parallel postulate) Standard 2: Properties of 2-Dimensional Figures - The student will use the properties and formulas of geometric f ...
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}.