Geometry Unit 5 Practice Test

Geometry/Trig 2 Unit 5 Practice Test 50 Name: Key Date: Block: I- Fill in the blank. Information does not carry over from problem to problem. 1. GEOM is a rectangle. E T 2. MATH is a rhombus. a. m angle AQA = 90 M G M H b. If HQ = 9 then QA T a. If GO = 22 then ET= b. m angle EGM = 0 ^ 10 c. If m angle HMQ = 50 . then m/QMA = 50 c. If m angle GET = 60 , then m/TOE = 30 d. m angle MHQ = 35 . then m angle HMA = 110 d. Classify AGET by sides. isosceles 3. WEST is a square. 4. TRAP is a trapezoid; XY is the median. W a. m< TWS: 45 b. m angle WPT = 40 E P 92-12 22 T c. If TE = 29 then ws = 29 + "BONUS: If WP = 4 then wE = - 42 4 ^ 2 + 4 ^ 2 = w * E ^ 2 4sqrt(2) = wE 3.2 = WE Always 10) A rectangle has supplementary consecutive angles. 737-4 a. If AP = RT then it is a(n) isosceles trapezoid b. If FT = 14 and AR = 7 then XY = 105 ( (4 + 7) = xy c. If PX = 7 then PA = 14 d. If AR = 3z - 4 xy = 2z and PT = 9z - 12 then z = underline c2 3z - 4 + 9z - 12 = 4z II- Complete each statement with the word always, sometimes, or never. (Write the answer on the line to the left of the number). Always 55) A parallelogram is a quadrilateral Always Never 6) A square is a rhombus. A rhombus with no right angles has congruent diagonals. Always Never S9) A trapezoid has 4 congruent sides. 8) A square is a rectangle 18 R 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) Apts "א 85 Rhombus Rectangle Square 13) AC = 16 BD = 16 A B Y 12) 14) Rhombus Rectangle Square x = 70 10 B y 45 C 45 D 5 Rhombus Rectangle Square Rhombus Rectangle Square X= 45 m angle ABC = 10 IV. Decide if each quadrilateral is a parallelogram. Explain. 2 U D 15) 5 e U 16:17 D YES YES 17) 5 < =90 No opposite sides are not both (No Opposite angles not YES NO Both cosides need tobe Il of congruent of same both offs of same sider the 18) 27 D ES No NO Both app sides need to bell. 12 y = 20 y ^ 2 = 425 y = underline E2 x = 95 x = R 20 deg 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! 2x + 3y 9 6x-5y 147 9 - 3(2x + 3y) = 14 4x - 5y = 14 x - 9y = - 42 9 Plug back in x + 4 - 1.9y = - 28 y = 2 20) A, B, and C are midpoints of the sides of triangle XYZ . Answer the questions. 1.5a) If AB = 7 BC = 12 and AC = 10 and zx = 20 XY = 24 * Yz = 14 15 b) If BC = 6 AC = 2.5 and YZ = 10 find AB = 5 * XY = 12 and ZX = 5 X x = 4 Information does not carry over from problem to problem. A TH B 64 411 C Z c) If m angle XAB = 100 then m angle AYC = 100 Explain why: CPCTC ДХАВЕДАЦc bysss10 2 Y 111 d) If m angle ABZ = 100 , then m angle Z = Explain why: CPCTC 80 def of supplementary 20 or Corresponding LA Postulacte 21) ABCD is an isosceles trapezoid. Solve for x, y, the angle measurements and side lengths. A B 10 +14 D C 9x + 1 + 2x + 14 = 180 x = 15 1x = 1ks x = 15 m angle B= underline boxed |2||w| 8 m angle D = 44 ( (4 + x) = 0 y ^ 2 - 3y = 10 y ^ 2 - 3y - 10 = 0 y = 5cry = - 2 AD = 10 10 Dy y = 5 y = - Z m angle A = 1 y ^ 2 - 3y (2x + 14) ^ n (9x + 1) deg r = Z