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Transcript
Geometry Basic Terms: Lines - A line is like a "straight line" that one would draw on paper using a ruler. However, in geometry a line extends on forever in both directions. A line must pass through at least 2 different points. The line is named using the names of the points it runs through. For example, a line that runs through points A and B will be called "line AB," and will be represented by the letters AB with a double headed arrow over them. Points - A point is like a "dot" that one would draw on a piece of paper. A point has no length or width. It is the representation of an exact location. A point is named using a number or letter. Intersection - Intersection occurs when lines, line segments, rays or figures share a common point. The shared point is referred to as the point of intersection. Line Segments - Unlike a line, a line segment does not extend forever. It has two distinct endpoints. A line segment with endpoints A and B is notated by writing the letters AB with a line, without arrow heads, over them. Rays - A ray is a line that begins at a certain point and extends forever in one direction. In other words, a ray has one distinct end point. This end point is where the ray begins. To notate a ray that begins with endpoint A and passes through point B, extending on forever, one would write AB with a singleheaded arrow over it. Endpoints - An endpoint is a type of point that is used to define the beginning and/or end of a line segment or ray. Parallel Lines - Parallel lines are two lines in the same plane that never intersect. Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko Transversal - A line that cuts across a pair or set of lines, or across the plane of a figure. Basic Terms of Angles: Angle - An angle is created by two rays that share an endpoint (for more on rays, see basic geometry terms.) Vertex of an Angle - The point where the angle's two rays intersect. Sides of an Angle - The two rays that form the angle. Acute Angles -An angle measuring between 0 and 90 degrees. Obtuse Angles - An angle measuring between 90 and 180 degrees. Right Angles - 90 degree angles. Complementary Angles - If the sum of the degrees of two angles equals 90 degrees then the two angles are referred to as complementary. Supplementary Angles - If the sum of the degrees of two angles equals 180 degrees then the two angles are referred to as supplementary. Vertical Angles - Two angles whose sides from two pairs of opposite rays. Interior Angles - Angles lying on the interior, or "inside", of a set of lines or figure. Alternate Interior Angles - When a pair of parallel lines is intersected by a third line, congruent angles (angles of the same size) are formed on each parallel line. That is, the four angles on parallel line A will be the same as on parallel line B. Alternate Interior Angles are interior angles ("inside" angles) that lie on different parallel lines and on opposite sides of a transversal (see basic geometry terms for a definition of transversal). Alternate Exterior Angles - When a pair of parallel lines is intersected by a third line, congruent angles (angles of the same size) are formed on each parallel line. That is, the four angles on parallel line A will be the same as on parallel line B. Alternate Exterior angles are exterior angles ("outside" angles) that line on different parallel lines and on opposite sides of a transversal (see basic geometry terms for a definition of transversal). Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko Corresponding Angles - Angles that are in the same location relative to the nearest parallel line. Bisector - A ray that divides an angle into two separate angles. Perpendicular Lines - Two lines that meet to form a right angle are referred to as perpendicular lines. Shapes: Square Traits: 1. 4 right angles 2. 4 congruent angles Rectangle Traits: 1. 4 right angles Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko Trapezoid Traits: 1. Only one pair of parallel lines. Rhombus Traits: 1. All sides are congruent. Parallelogram Traits: 1. Opposite sides are parallel and congruent Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko Websites: Math Dictionary for Kids This site has definitions and examples for an extensive mathematics dictionary and includes self-checking assessment items to check understanding of the concepts. http://www.teachers.ash.org.au/jeather/maths/dictionary.html Kindergarten Math Matching Shapes. Click on the things that are the same shape as shown in the example. Google Enter your search terms Submit search form ... www.kidport.com/GradeK/Math/MeasureGeo/MathK_Shapes.htm Shapes at EnchantedLearning.com A short, printable book for early readers, about colorful shapes and the numbers from 1 to 10, with pages for the student to cut out, items to count and ... www.enchantedlearning.com/themes/shapes.shtml Kinderweb Free Children's Games Shape Learning Game www.bright-productions.com/kinderweb/tri.html BBC: KS2 Bitesize Revision An animated KS2 Bitesize activity for the topic: Shape, numbers and measurement www.bbc.co.uk/schools/ks2bitesize/maths/activities/shapes.shtml Pattern Blocks: Exploring Fractions with Shapes Java applet that implements pattern blocks typically used to visualize and learn fractions. www.arcytech.org/java/patterns/patterns_j.shtml Coolmath4kids Fun math related puzzles and problems! Cool geometry stuff! Great for kids, big kids and really big kids! Teachers too! www.coolmath4kids.com/geometrystuff.html Geometry Website This geometry review page will help master the concepts learned in class. Ideas will be reviewed with the assistance of graphics and sound to help you learn ... www.kidsnewsroom.org/elmer/infocentral/geometry/index.html Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko Kids Konnect KidsKonnect has kids homework and educational help - a safe Internet gateway for kids created & maintained by educators. www.kidskonnect.com/content/view/291/27/ Touch Math An innovative math-learning system specifically designed to help young students develop math skills. The program instills a lifelong love of math, instead of the fear many children feel when tackling this subject. http://www.touchmath.com/ Resources compiled by Crestwood Primary School Intervention Specialists: Jen Forinash, Kristina Weiss, and Sherry Lacko