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Hour: _____ Name: ___________________________ Date: ____________________________ Geometry: Trimester Final Exam Review Geometry A 1. Find the coordinates of M, the midpoint of the segment AB , with A(–7, 4) and B(–3, –2). 2. Find the length of QT if PR bisects QT at N and NT = 37. 3. Consider the following conditional statement. “If a quadrilateral is a square, then it is a rhombus.” a) Is this statement true or false? b) Write the conditional statement’s converse. Is it true or false? c) Write the conditional statement’s inverse. Is it true or false? d) Write the conditional statement’s contrapositive. Is it true or false? 4. Write the equation of a line that is perpendicular to y = –4x + 2 and passes through the point (3, 4). m 5. Given: n║o 2 and 4 are supplementary Prove: l ║m n 2 3 1 o 4 5 6 C B 6. Given: AB CD AB CD Prove: ABD CDB A D 7. Find the coordinates of the circumcenter of a triangle whose vertices are A(0, 6), B(4, 2), and C(7, 8). 8. If PT is and altitude of ∆PST, what type of triangle is ∆PST? 9. Remember polygons? a) Find the measure of an exterior angle of a regular hexagon. b) Find the sum of the measures of the interior angles of an octagon. 10. What angle has the greatest measure in the triangle shown? B 21 C 20 11. 25 A 11. Consider at triangle. a) Two sides of a triangle are 6 and 14. What are the possible measures of the third side? b) A triangle has side lengths 2x + 1, 5x – 5, and x +7. Find all possible values for x. 12. Determine the most precise name of the quadrilateral WXYZ with vertices W(–3, 4), X(2, 4), Y(3, –1), and Z(–2, –1). 13. Complete each statement with the word always, sometimes or never. a) In a plane, two lines perpendicular to the same lines are ________________ parallel. b) If ∆ABC is equiangular, then mA ________________ 45°. c) The converse of a true conditional statement is ________________ true. d) If two parallel lines are cut by a transversal, then the same-side interior angles are ________________ congruent. 14. Determine the most precise name possible for ABCD. a) AB BC CD A B b) AD DC , DC CB , CB AB E c) mBAD 90 , mADC 90 , mDCB 110 d) AE EC , DE BE e) ABCD is a parallelogram; AB BC , BD AC D C