apply the definition of triangle congruence to identify congruent sides and angles.prove triangles are congruent using triangle congruence theorems.prove various theorems about angles and apply these theorems to solve problems.contrast Euclidean and spherical geometries through examining the concepts of parallel lines and the sum of the angles in a triangle.identify, compare, and contrast a conditional statement with its converse, inverse, and contrapositive.determine whether a conditional statement is true or false and if it is true, give a reasonable counterexample.identify whether a term is undefined, a definition, a postulate, a theorem, or a conjecture.distinguish and identify objects that have reflectional and rotational symmetry.identify a sequence of transformations that will move one object onto another.describe a transformation in words and in coordinate notation.transform figures in a plane by dilating, translating, reflecting, and rotating them.determine the equation of a line that passes through a particular point and is parallel or perpendicular to a given line.verify whether lines are parallel, perpendicular, or neither using formulas.use the formulas for distance, slope, and midpoint and derive them.determine coordinates of points located on segments. Upon completing this course you will be able to: If you have ever wondered why bees use hexagons to build their hives, how to construct a logical argument that will be irrefutable, or how to create more interesting artwork using geometry, then this course will give you a new perspective on the world around us! In this course, you will learn to use both ancient technologies (like a compass and straight edge) and modern technologies (like graphing utilities and video tutorials) to develop skills that are used on a daily basis by carpenters, lawyers, and artists. Elements was so influential that it was used as a primary source of mathematics teaching for more than two thousand years. From these truths he deduced all the postulates and theorems you will study in this course. In 300 BCE Euclid, commonly known as the “Father of Geometry,” wrote a book (titled Elements) which begins with a few basic agreed upon geometric truths. Fundamental to the study of these objects is the formation of logical arguments that allow someone to make a claim based on previously known truths. Geometry is the study of points, lines, surfaces, shapes, 3-dimensional solids, and the relationships that exist between them. Geometry A | UT High School retweet icon bullhorn icon reply icon info icon flickr icon tumblr icon vimeo icon reddit icon podcast icon angle-down icon angle-left icon angle-right icon angle-up icon ban icon hamburger icon book icon bookmark icon bug icon caret-down icon caret-left icon caret-right icon caret-up icon chain icon check icon check-circle icon chevron-down icon chevron-left icon chevron-right icon chevron-up icon circle icon circle-o icon clone icon close icon download-cloud icon code icon download icon ellipsis icon envelope icon warning icon external-link icon eye icon eye-slash icon facebook icon github icon google-plus icon heart icon heart-o icon home icon info-circle icon instagram icon linkedin icon lock icon medium icon minus-circle icon send icon pause-circle icon play-circle icon plus-circle icon question-circle icon quote-left icon quote-right icon rss-square icon search icon share-alt icon slack icon snapchat icon ticket icon twitter icon wheelchair icon youtube icon
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