Geometry/Trig 2 Name: __________________________ Unit 5 Practice Test Date: _______________ Block: ______ I – Fill in the blank. Information does not carry over from problem to problem. 1. GEOM is a rectangle. 2. MATH is a rhombus. M A E O Q T a. mÐMQA = ______. b. If HQ = 9, then QA = _______. c. If mÐHMQ = 50, then mÐQMA = _______. d. If mÐMHQ = 35, then mÐHMA = _______. G M H T If GO = 22, then ET = _______. b. mÐEGM = _______. c. If mÐGET = 60, then mÐTOE = ______. d. Classify DGET by sides. ___________________ 3. WEST is a square. 4. TRAP is a trapezoid; XY is the median. W E T R A P X Y mÐTWS = ______. b. mÐWPT = ______. c. If TE = 29, then WS = ______. *BONUS: If WP = 4, then WE = ______. P a. If AP = RT then it is a(n) _____________ trapezoid. b. If PT = 14 and AR = 7, then XY = ______. c. If PX = 7, then PA = ______. If AR = 3z – 4, XY = 2z and PT = 9z – 12, then z = ______. T S II – Complete each statement with the word always, sometimes, or never. (Write the answer on the line to the left of the number). ________________________ 5) A parallelogram is ___ a quadrilateral. ________________________ 6) A square is ___ a rhombus. ________________________ 7) A rhombus with no right angles ___ has congruent diagonals. ________________________ 8) A square is ___ a rectangle. ________________________ 9) A trapezoid ___ has 4 congruent sides. ________________________ 10) A rectangle ___ has supplementary consecutive angles.

Geometry/Trig 2 Unit 5 Practice Test – Quadrilaterals & Proofs Page 3 III. For each parallelogram, circle the best name (rhombus, rectangle or square) for each shape and solve for the missing measurements. x 11) y 12) y 85 x z 20 z Rhombus Rectangle Square Rhombus Rectangle Square x = ____ z = ____ y = ____ x = ____ z = ____ y = ____ 13) AC = 16, BD = 16 14) B A B y 45 x y C A x 45 D C D Rhombus Rectangle Square Rhombus Rectangle Square x = ____ y = ____ x = _____ y = _____ mABC = _____ IV. Decide if each quadrilateral is a parallelogram. Explain. 15) YES NO ____________________________________ 16) YES NO ____________________________________ 17) YES NO ____________________________________ 18) YES NO ____________________________________

Information does not carry over from problem to problem. Geometry/Trig 2 Unit 5 Practice Test – Quadrilaterals & Proofs Page 4 V. Answer the below questions. SHOW ALL WORK. 19) Solve for the variables. “Guess and check” will not suffice, you must solve algebraically! 9 14 6x – 5y 2x + 3y x = ________ y = ________ 20) A, B, and C are midpoints of the sides of ΔXYZ. Answer the questions. If AB = 7, BC = 12 and AC = 10, find XY = _____, YZ = ______ and ZX = ______ If BC = 6, AC = 2.5 and YZ = 10, find AB = _____, XY = ______ and ZX = ______ c) If mXAB = 100, then mAYC = _______. Explain why: _________________________ _________________________ d) If mABZ = 100, then mZ = _______. X A Y C B Z Information does not carry over from problem to problem. 21) ABCD is an isosceles trapezoid. Solve for x, y, the angle measurements and side lengths. x = _____ mA = _____ mB = _____ mC = _____ mD = _____ A B (9x + 1)° y² - 3y 10 (2x + 14)° y = _______ AD = ______ D C

22) Complete the proof. Please number your steps! D 1 2 C 4 3 Statements Reasons 22) Complete the proof. Please number your steps! Given: ABCD is a parallelogram Prove: ΔABC  ΔCDA 23.) A quadrilateral is a parallelogram if… Review properties of parallelograms, rectangles, rhombi and squares! Review properties of isosceles trapezoids and medians.