Name: _______________________________ Chapter 5 Geometry Test Review Match each definition in the first column with a word or phrase from the second column. 1.) ______ A segment that connects the midpoint of a side to the opposite vertex of a triangle. a.) concurrent lines 2.) ______ Three or more lines that intersect at a common point. c.) perpendicular bisector b.) point of concurrency d.) median 3.) ______ The point where the perpendicular bisectors of a triangle meet. e.) altitude 4.) ______ The point where the altitudes of a triangle meet. f.) circumcenter 5.) ______ A segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. g.) incenter 6.) ______ The point where the angle bisectors of a triangle meet. i.) orthocenter 7.) ______ The common point where three or more lines intersect. 8.) ______ A perpendicular segment that connects a vertex to the opposite side of a triangle. 9.) ______ The point where the medians of a triangle meet. 10.) BD is a median of ∆ABC. Find the value of x. 11.) DF bisects CDE . Find the value of x. 1 h.) centroid 12.) DE is the perpendicular bisector of AC . Find the value of m. 13.) HK is an altitude of ∆HIJ. Find the value of x and IJ. 14.) G is the centroid of ∆ABC. Find the value of z. Use the figure below to name the following. 15.) An altitude: __________ 16.) An angle bisector: __________ 17.) A median: __________ 18.) A perpendicular bisector: __________ 2 19.) Name the angles of the triangle in order from smallest to largest. 20.) Name the sides of the triangle in order from longest to shortest. 21.) Using the table, which linear equation best describes the relationship between x and y? 22.) Using the Exterior Angle Theorem, list all angles that must be larger than 7 . 23.) Using the Exterior Angle Theorem, list all angles that must be smaller than 8 . Determine the relationship between the measures of the given angles. 24.) SRU , RUS 25.) SVT , STV 3 26.) Determine the relationship between the lengths of the given sides. 27.) ZY , YR 28.) RZ , SR Determine whether the given measures can be the lengths of the sides of a triangle. Write yes or no. If no, explain why. Show all work! 29.) 18, 32, 21 30.) 17, 25, 42 Find the range for the measures of the third side of a triangle given the measures of two sides. Show all work! 31.) 12 and 18 32.) 7 and 9 4