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Name ______________________________ Weekly Review #9 Date _____ Class _____ Mr. Lynch Part I: Place the letter of the correct answer on the line provided! _____ 1) The point of concurrency of the three altitudes of a triangle is called the: a) orthocenter b) centroid c) incenter d) circumcenter _____ 2) Which of the following methods could be used to prove ΔABD ΔCBD? B A a) AA b) SAS D c) SSS C d) ASA _____ 3) Which of the following is logically equivalent to ~ b → f ? a) b → ~ f b) f → ~ b c) ~ f → b _____ 4) Which is not a property of a rhombus? a) the diagonal are perpendicular c) the diagonal bisect the angles e) HL d) p → q b) the diagonals bisect each other d) the diagonals are congruent _____ 5) Given a pair of parallel lines, the locus of points equidistant from this point may be described as: a) one line b) two lines c) a circle d) a point Part II: Complete each of the following! 6) Find the equation in slope-intercept form on the line passing through the point (-1,8) and having an undefined slope. 7) The vertices of triangle ABC are A(-2,1), B(-1,4), and C(-5,2). a) Graph and label triangle ABC. b) Graph and state the coordinate of A′B′C′, the image of ABC after a reflection in the xaxis. c) Graph and state the coordinates of triangle A′′B′′C′′, the image of A′B′C′ after a translation R270. d) Graph and state the coordinates of triangle A′′′B′′′C′′′, the image of A′′B′′C′′ after D2. 8) Given: CA is the bisector of <BAD AC is perpendicular to BD A Prove: AB AD B D C 9) Triangle ABC has vertices A(3,0), B(9,3), and C(9,-2). a) Graph and label triangle ABC. b) Find M, the midpoint of AB. c) Find N, the midpoint of AC. d) Prove MN = ½ BC. e) Prove MN is parallel to BC. 10) Construct a truth table for (~ p V q) ↔ (~q → p). (Use a straightedge!!!) a) Is the truth table a tautology? (Yes or No?) b) Are the statements ~ p V q and ~q → p logically equivalent? Give a sentence why or why not?