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Honors Geometry Stuff You Should Know Numero Uno Name ________________________Score ( / 44 ) x 7 January 8, 2014 Per _____ 1) What’s the measure BEA ? A D 2) Find x and y. B 3x+8 E 6x-22 x 2y 80 C 3) Solve for x and y. 4) What values of x and y will make AC DF and A 42 BF ? AE C B 3x+20 (3x) D 5) Find x and y 40 E F 110 6) What are y and z? y x+50 2y-5 (6y-6) 50 z x y 110 7-8) Given: PO QO, 3 4 ; Also, m1 40 Q P 1 3 2 7 Find the measures of ' s 2, 7, 5 and 6 Is PQ SR ? Why or why not? 4 O S 6 5 R 9) Six angles of a heptagon measure 40, 80, 115, 165, 140, and 103. Find the measure of the 7th angle and state whether the heptagon is convex or concave. 5 6 3 1 2 10-11) Find the measures of all the numbered angles. 4 32 35 12) Sketch and mark a diagram and then complete the statements: If CAT DOG , then TCA _________ DG __________ ODG ________ and GDO ________ 13) Solve for all the numbered angles. I AN bi sects IAN A 1 E N 3 2 4 65 140 F ALWAYS, SOMETIMES, or NEVER (for Mike A): 14) If three angles of a triangle are congruent to three angles of another, then the triangles are ____________ congruent. 15) If two sides and one angle of a triangle are congruent to two sides and one angle of another triangle, then the triangles are ____________________ congruent. 16) Given triangle RST with obtuse angle S and RST XYZ , then X is _______________ congruent to S . 17) Into how many triangles can a decagon be divided if diagonals are drawn from one vertex to the other non-consecutive vertices? What is the sum of the measures of the interior angles? 18) If a triangle is equilateral, then it is always ______________________________________________________ (fill in with as many answers as possible). 19) a) How many lines can be perpendicular bisectors of line segment AB ? b) If AB lies in the plane W, how many lines lying in plane W can be perpendicular to AB ? c) If AB lies in the plane W, how many lines lying in plane W can be perpendicular bisectors of AB ? 20) What is the converse of the statement “If you know a Mike Symon, then you’re the coolest dude in history.” 21) In the diagram, PR RT , S is the midpoint of RT , QR 4, and ST 5 . RS RT PR PQ Complete: P Q R S T