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Transcript
TOPICS FOR GEOMETRY MIDTERM Geometry Basic Terms – Chapter 1 & 2 bisect collinear coplanar length vs. distance angle line ray segment midpoint vertex angle measure adjacent angles vertical angles angle bisector congruent obtuse angle acute angle exterior angles Dec. 2013 right angle complementary angles supplementary angles parallel lines perpendicular lines transversal alternate interior angles corresponding angles same side interior angles CPCTC isosceles triangle median altitude perpendicular bisector centroid orthocenter circumcenter Parallel Lines – Chapter 3 properties of parallel lines proving lines parallel o corresponding angles o alternate interior angles o same side interior angles o two lines perpendicular to the same line are parallel o two lines parallel to the same line are parallel to each other Polygons – Chapter 3 regular polygons angles of a triangle exterior angle theorem (for triangles) angles in a polygon sum of interior angles in any n-gon: (𝑛 − 2)180 measure of each interior angle in a regular n-gon: sum of exterior angles in any n-gon = 360 measure of each exterior angle in a regular n-gon: (𝑛−2)180 𝑛 360 𝑛 Inequalities for One Triangle – Section 6-4 each side must be less than the sum of the other two sides o determining whether a set of 3 sides could form a triangle o determining the largest/smallest length for the third side, given 2 sides largest side opposite largest angle; smallest side opposite smallest angle Congruent Triangles- Chapter 4 5 ways to prove triangles congruent: o SSS, SAS, ASA, AAS o HL – must be a right triangle o NOT SSA! CPCTC: Using congruent triangles to prove segments or angles congruent Isosceles Triangle Theorem and its converse Perpendicular Bisector Theorem