Polygons and Quadrilaterals
... a) By the Opposite Angles Theorem Converse, EFGH is a parallelogram. b) EFGH is not a parallelogram because the diagonals do not bisect each other. ...
... a) By the Opposite Angles Theorem Converse, EFGH is a parallelogram. b) EFGH is not a parallelogram because the diagonals do not bisect each other. ...
Ways to Prove that Quadrilaterals are Parallelograms
... Examples Complete with always, sometimes, or never. 1. The diagonals of a quadrilateral _______ bisect each other. 2. If the measures of two angles of a quadrilateral are equal, then the quadrilateral is _______ a parallelogram. 3. If one pair of opposite sides of a quadrilateral is congrue ...
... Examples Complete with always, sometimes, or never. 1. The diagonals of a quadrilateral _______ bisect each other. 2. If the measures of two angles of a quadrilateral are equal, then the quadrilateral is _______ a parallelogram. 3. If one pair of opposite sides of a quadrilateral is congrue ...
Congruent
... 4.2 Congruence and Triangles Essential Question: How can you prove triangles congruent? ...
... 4.2 Congruence and Triangles Essential Question: How can you prove triangles congruent? ...
GEOMETRY TRIANGLE CONSTRUCTION PROJECT
... Triangle. The purpose of this project is for you to have a better understanding of the properties of each of these constructions as well as the location of the points of concurrency. Project Directions 1. You will need four triangles one large triangle for each classification A Right ∆ (that is NOT ...
... Triangle. The purpose of this project is for you to have a better understanding of the properties of each of these constructions as well as the location of the points of concurrency. Project Directions 1. You will need four triangles one large triangle for each classification A Right ∆ (that is NOT ...
What is a Polygon????
... The statement is sometimes true. Some parallelograms are rectangles. In the Venn diagram, you can see that some of the shapes in the parallelogram box are in the area for rectangles, but many aren’t. ...
... The statement is sometimes true. Some parallelograms are rectangles. In the Venn diagram, you can see that some of the shapes in the parallelogram box are in the area for rectangles, but many aren’t. ...
6.4 Notes
... If an angle of a quadrilateral is supplementary to both consecutive angles, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are both congruent and paral ...
... If an angle of a quadrilateral is supplementary to both consecutive angles, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are both congruent and paral ...
Quadrilaterals - Elmwood Park Memorial High School
... 22. Below is a sequence of steps that were used to construct a square using a compass and straightedge. ...
... 22. Below is a sequence of steps that were used to construct a square using a compass and straightedge. ...
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.