Indiana Academic Standards - School of Science @ IUPUI
... Example: How many vertices does a cube have? Investigate and predict the result of putting together and taking apart two-dimensional and threedimensional shapes. Example: Use objects or a drawing program to find other shapes that can be made from a rectangle and a triangle. Use sketches or a drawing ...
... Example: How many vertices does a cube have? Investigate and predict the result of putting together and taking apart two-dimensional and threedimensional shapes. Example: Use objects or a drawing program to find other shapes that can be made from a rectangle and a triangle. Use sketches or a drawing ...
InteriorAnglesJR - Dynamic Math Institute
... 2. If you were given the sum of the measures of the interior angles in a regular polygon, how would you find the measure of one angle? __________________________________________________________________________________________ __________________________________________________________________________ ...
... 2. If you were given the sum of the measures of the interior angles in a regular polygon, how would you find the measure of one angle? __________________________________________________________________________________________ __________________________________________________________________________ ...
Maths Objectives – Shape
... Complete a simple symmetric figure with respect to a specific line of If I have been given one half of a symmetrical shape, I can complete symmetry. the other half based on the position of the line of symmetry. ...
... Complete a simple symmetric figure with respect to a specific line of If I have been given one half of a symmetrical shape, I can complete symmetry. the other half based on the position of the line of symmetry. ...
Ratios in Similar Polygons Ratios in Similar Polygons
... The similarity ratio of ∆ABC to ∆DEF is ...
... The similarity ratio of ∆ABC to ∆DEF is ...
Solutions 13-14 - Durham University
... to any other triple. So, it takes a triangle spanned by the given three points to the triangle spanned by the other three points. (b) Part (a) implies that any ideal triangle may be represented by a “regular” ideal triangle in the Poincaré disc model (i.e. by a triangle with vertices 1, eiπ/3 , e2i ...
... to any other triple. So, it takes a triangle spanned by the given three points to the triangle spanned by the other three points. (b) Part (a) implies that any ideal triangle may be represented by a “regular” ideal triangle in the Poincaré disc model (i.e. by a triangle with vertices 1, eiπ/3 , e2i ...
5.1 Interior angles of a polygon Sides 3 4 5 6 n Number of Triangles
... Complete each statement. None of the answers is square. 1. If the sum of the measures of two angles is 90°, then the angles are __________________. 2. In an isosceles triangle, the base angles are _________________. 3. The sum of the measures of the angles of an octagon is _____________________. 4. ...
... Complete each statement. None of the answers is square. 1. If the sum of the measures of two angles is 90°, then the angles are __________________. 2. In an isosceles triangle, the base angles are _________________. 3. The sum of the measures of the angles of an octagon is _____________________. 4. ...
Chapter 7 Notes - Kenston Local Schools
... By using multiple algebraic and geometric tools, you can identify shapes. For example, further analysis of the sides and angles of ABCD above shows that AB = DC and BC = AD. Furthermore, all four angles measure 90°. These facts together indicate that ABCD must be a rectangle. ...
... By using multiple algebraic and geometric tools, you can identify shapes. For example, further analysis of the sides and angles of ABCD above shows that AB = DC and BC = AD. Furthermore, all four angles measure 90°. These facts together indicate that ABCD must be a rectangle. ...
Parent Letter
... 3 and 1 are adjacent angles. Name the three other pairs of adjacent angles. 3 and 4; 4 and 2; 1 and 2 1 and 4 are vertical angles. Name the second pair of vertical angles. 3 and 2 Complementary angles are two angles whose measures have a sum of 90˚. Supplementary angles are two angles wh ...
... 3 and 1 are adjacent angles. Name the three other pairs of adjacent angles. 3 and 4; 4 and 2; 1 and 2 1 and 4 are vertical angles. Name the second pair of vertical angles. 3 and 2 Complementary angles are two angles whose measures have a sum of 90˚. Supplementary angles are two angles wh ...
Symmetry Defs and Properties
... bisector of BC. It also must pass through A. Since reflection preserves angles, ∠DAB = ∠DAC. Therefore, AD is an altitude, a median, and a perpendicular bisector. ...
... bisector of BC. It also must pass through A. Since reflection preserves angles, ∠DAB = ∠DAC. Therefore, AD is an altitude, a median, and a perpendicular bisector. ...
Special angles Sentry theorem
... 4.2. Mark P inside square ABCD, so that triangle ABP is equilateral. Let Q be the intersection of BP with diagonal AC. Triangle CP Q looks isosceles. Is this actually true? If AB = 1, find the area of triangle AP C. 4.3. Let ABCD be a trapezoid with AB k CD and CD = 2AB = 2AD. Suppose that BD = 6 an ...
... 4.2. Mark P inside square ABCD, so that triangle ABP is equilateral. Let Q be the intersection of BP with diagonal AC. Triangle CP Q looks isosceles. Is this actually true? If AB = 1, find the area of triangle AP C. 4.3. Let ABCD be a trapezoid with AB k CD and CD = 2AB = 2AD. Suppose that BD = 6 an ...
File
... It is important to make the connection between the total of the angles in a triangle and the sum of angles on a straight line by encouraging pupils to draw any triangle, rip off the corners of triangles and fitting them together on a straight line. However, this is not a proof and this needs to be r ...
... It is important to make the connection between the total of the angles in a triangle and the sum of angles on a straight line by encouraging pupils to draw any triangle, rip off the corners of triangles and fitting them together on a straight line. However, this is not a proof and this needs to be r ...
Investigation
... Concave polygon: A concave polygon is a polygon that is not convex. A polygon is concave if at least one of its internal angles is greater than 180°. (Concave when there are "dents" or indentations in it. That is where the internal angle is greater than 180°)) A star is a concave polygon. ...
... Concave polygon: A concave polygon is a polygon that is not convex. A polygon is concave if at least one of its internal angles is greater than 180°. (Concave when there are "dents" or indentations in it. That is where the internal angle is greater than 180°)) A star is a concave polygon. ...
II. Geometry and Measurement - UW
... Triangles are similar if their corresponding (matching) angles are equal and the ratio of their corresponding sides are in proportion. Corresponding Sides are in ...
... Triangles are similar if their corresponding (matching) angles are equal and the ratio of their corresponding sides are in proportion. Corresponding Sides are in ...
2.1 Explorin Vertically opposite angles are equal When two lines
... Example 4. Draw a transversal that crosses two parallel lines (below) at an angle other than 90°. Label every angle formed between intersecting lines with a unique lower-case case letter, and measure each angle in degrees. ...
... Example 4. Draw a transversal that crosses two parallel lines (below) at an angle other than 90°. Label every angle formed between intersecting lines with a unique lower-case case letter, and measure each angle in degrees. ...
Lesson 8.5 - tristanbates
... sides does the polygon have? Explain how you calculated your answer. ...
... sides does the polygon have? Explain how you calculated your answer. ...
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}.