GeometryTrig 2 Name Unit 5 Practice Test Date

Geometry/Trig 2 Name: _____________ Unit 5 Practice Test Date: ________ Block: ______ I – Fill in the blank. Information does not carry over from problem to problem. 2. MATH is a rhombus. 1. GEOM is a rectangle. M A O E Q T a. m MQA = ______. G M a. If GO = 22, then ET = _______. H b. If HQ = 9, then QA = _______. T c. If m HMQ = 50, then m QMA = _______. b. m EGM = _______. d. If m MHQ = 35, then m HMA = _______. c. If m GET = 60, then m TOE = ______. d. Classify DGET by sides. __________ 3. WEST is a square. W E 4. TRAP is a trapezoid; XY is the median. T P a. m TWS = ______. P X A b. m WPT = ______. T c. If TE = 29, then WS = ______. Y S R a. If AP = RT then it is a(n) _______ trapezoid b. If PT = 14 and AR = 7, then XY = ______. *BONUS: If WP = 4, then WE = ______. c. If PX = 7, then PA = ______. d. If AR = 3 z – 4, XY = 2 z and PT = 9 z – 12, then z = ______. 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. 11) x Rhombus x = ____ y 85 z 20 Rectangle Square z Rhombus z = ____ Rectangle x = ____ y = ____ 13) x 12) y Square z = ____ y = ____ AC = 16, BD = 16 A 14) B B x y y A D x Rectangle C 45 C Rhombus 45 Square x = ____ D Rhombus Rectangle x = _____ y = ____ Square y = _____ m ABC = _____ IV. Decide if each quadrilateral is a parallelogram. Explain. 15) YES NO ____________________________________ 16) 17) 18)

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 2 x + 3 y 6 x – 5 y 9 14 9 x = ____ y = ____ 20) A, B, and C are midpoints of the sides of ΔXYZ. Answer the questions. a) If AB = 7, BC = 12 and AC = 10, find Information does not carry over from problem to problem. X XY = _____, YZ = ______ and ZX = ______ b) If BC = 6, AC = 2. 5 and YZ = 10, find A B AB = _____, XY = ______ and ZX = ______ Y c) If m XAB = 100, then m AYC = _______. C Z Explain why: _________________________ d) If m ABZ = 100, then m Z = _______. Explain why: _________________________ 21) ABCD is an isosceles trapezoid. Solve for x, y, the angle measurements and side lengths. A y² - 3 y x = _____ B m A = _____ (9 x + 1)° m B = _____ 10 m C = _____ m D = _____ (2 x + 14)° D C y = _______ AD = ______

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