Triangle Graphic Organizer (Types, parts, Theorems)
... Congruence of triangles is reflexive, symmetric, and transitive. An equilateral triangle is always equiangular. An equiangular triangle is always equilateral. Every angle in an equilateral triangle measures 60 degrees. If two angles in a triangle are congruent, the opposite sides are also congruent. ...
... Congruence of triangles is reflexive, symmetric, and transitive. An equilateral triangle is always equiangular. An equiangular triangle is always equilateral. Every angle in an equilateral triangle measures 60 degrees. If two angles in a triangle are congruent, the opposite sides are also congruent. ...
WORK SHEET 4(2 Term)
... And this week we shall learn more about Similarity. Similarity & Shaheed Dibash! Any link between these two? Yes! Look at the monument – the Shaheed Minar all over the country. Aren’t they all similar? The same shape but of different sizes. Therefore, what is similarity in Geometry? DAY 1 (SUNDAY) ...
... And this week we shall learn more about Similarity. Similarity & Shaheed Dibash! Any link between these two? Yes! Look at the monument – the Shaheed Minar all over the country. Aren’t they all similar? The same shape but of different sizes. Therefore, what is similarity in Geometry? DAY 1 (SUNDAY) ...
Geometry, 3-4 Notes – Triangle Medians, Altitudes and Auxiliary Lines
... Two ways to prove triangles are isosceles: 1. If at least 2 sides of a triangle are congruent, then the triangle is isosceles. 2. If at least 2 angles of a triangle are congruent, then the triangle is isosceles. Given: ∠B ≅ ∠C Prove: ∆ABC is isosceles. ...
... Two ways to prove triangles are isosceles: 1. If at least 2 sides of a triangle are congruent, then the triangle is isosceles. 2. If at least 2 angles of a triangle are congruent, then the triangle is isosceles. Given: ∠B ≅ ∠C Prove: ∆ABC is isosceles. ...
GEOMETRY CHAPTER 6 Quadrilaterals
... A trapezoid is a quadrilateral with exactly ____ pair of parallel sides. The __________ sides are called bases. The nonparallel sides are called legs. The base angles are formed by the ______ and one of the legs. In trapezoid ABCD, ∠A and ∠B are one pair of base angles and ∠C and ∠D are the other pa ...
... A trapezoid is a quadrilateral with exactly ____ pair of parallel sides. The __________ sides are called bases. The nonparallel sides are called legs. The base angles are formed by the ______ and one of the legs. In trapezoid ABCD, ∠A and ∠B are one pair of base angles and ∠C and ∠D are the other pa ...
Regular stellated Polyhedra or Kepler
... Some remarks on the module needed to build the Great Stellated Icosahedron: In the exact module need to build the Great Icosahedron, we have an exact triangle. ...
... Some remarks on the module needed to build the Great Stellated Icosahedron: In the exact module need to build the Great Icosahedron, we have an exact triangle. ...
Geometry Triangles
... Triangles all have three sides, but when you consider other factors there are a variety of types. Each type of triangle can be classified by its characteristics. Whether the triangle is Scalene, or Isosceles, or Equilateral, or Acute, or Right, or Obtuse is dependent on the kind of angles and sides ...
... Triangles all have three sides, but when you consider other factors there are a variety of types. Each type of triangle can be classified by its characteristics. Whether the triangle is Scalene, or Isosceles, or Equilateral, or Acute, or Right, or Obtuse is dependent on the kind of angles and sides ...
Conditions for Parallelograms
... If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram. (quad. with ∠ supp. to cons. → ) If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. (quad. with diags. bisecting each other ...
... If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram. (quad. with ∠ supp. to cons. → ) If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. (quad. with diags. bisecting each other ...
Tessellation
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semi-regular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called ""non-periodic"". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. In the geometry of higher dimensions, a space-filling or honeycomb is also called a tessellation of space.A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.