Name ______________________________________________________________ Date _________________________ Geometry CP Final Exam Review 1. If m 𝐸𝐺𝐹 = 235, find the area of the shaded sector. F 82.3 in! H 436.3 in! G 820.3 in! J 1256.6 in! 2. The wheels on Elliot’s truck each have a circumference of 22 inches. Determine the radius of each wheel to the nearest length. F 2.5 in. G 3.5 in. H 5 in. J 7 in. 3. Identify the graph of (𝑥 − 3)! + ( 𝑦 + 2)! = 4. F G H J 4. In ⨀C, m𝐴𝐵 = 72. Find m∠BCD. A 72 C 144 B 108 D 180 5. Find the geometric mean between 9 and 11. A 3 11 C 10 B 2 5 D 2 6. Find x. A 8.0 C 10.4 B 8.9 D 10.8 7. Find x to the nearest degree. F 57 H 33 G 55 J 29 8. Find the value of x if △ABC ∼ △JKL. F 10 H 25 G 14 J 29 9. A 24-­‐foot flagpole cast a 20-­‐foot shadow. At the same time, the building next to it cast an 85-­‐foot shadow. Find the height of the building. !
A 70 ! ft B 89 ft !
C 96 ! ft D 102 ft 10. In a rectangle, the ratio of the width to the length is 4:5. If the rectangle is 40 centimeters long, find its width. F 32 cm G 36 cm H 44 cm J 50 cm 11. ∠1 and ∠8 F alternate exterior H consecutive interior G alternate interior J corresponding 12. ∠3 and ∠7 A alternate exterior C consecutive interior B alternate interior D corresponding 13. Given a ║ b and m∠2 = 65, find m∠6. F 25 G 65 H 115 J 140 14. Given a ║ b, m∠3 = 5x + 10, and m∠5 = 3x + 10, find the value of x. A 110 B 70 C 20 D 2.5 15. Given A(1, 7), B(8, 4), and C(3, 10), which coordinate will make 𝐴𝐵 ll to 𝐶𝐷 ? A D(0, 17) B D(6, 17) C D(10, 7) D D(10, 13) 16. Given A(–1, 4), B(2, –5), and C( –3, 4), which coordinate will make 𝐴𝐵 ⊥ to 𝐶𝐷 ? F D(0, 5) G D(2, 1) H D(5, –2) J D( – 6, 3) 17. If JL ≅ ML, what is the reason for △JKL ≅ △MNL? F AAS G ASA H SAS J SSS 18. What is the reason for △NDY ≅ △DNA? F ASA H SAS G AAS J SSS 19. Which triangles are congruent in the figure? F △KLJ ≅ △MNL G △JLK ≅ △NLM H △JKL ≅ △LMN J △JKL ≅ △MNL 20. Point K(–2, 1) is rotated 90° about the origin. What are the coordinates of Kʹ′? F Kʹ′(–2, 1) G Kʹ′(2, –1) H Kʹ′(–1, 2) J Kʹ′(–1, –2) !
21. What type of dilation occurs with a scale factor of ! ? A enlargement C congruence transformation B reduction D glide reflection 22. Which transformation moves all points the same distance in the same direction? A rotation C reflection B translation D dilation 23. What is the image of X(3, 5) along the translation vector ⟨–4, 6⟩? F Xʹ′(7, –1) H Xʹ′(7, 11) G Xʹ′(–1, –1) J Xʹ′(–1, 11) 24. If △Aʹ′Bʹ′Cʹ′ is the image of △ABC under a dilation with center at (0, 0), what is the scale factor? F 3 G !
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H ! J − !
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25. Which of the following is a property of a parallelogram? A The diagonals are congruent. C The diagonals are perpendicular. B The diagonals bisect the angles. D The diagonals bisect each other. 26. Which of the following is a property of all rectangles? A four congruent sides C diagonals are perpendicular B diagonals bisect the angles D four right angles 27. Which of the following is a property of a parallelogram? F Each pair of opposite sides is congruent. G Only one pair of opposite angles is congruent. H Each pair of opposite angles is supplementary. J There are four right angles. 28. Find the distance between P(2, 8) and Q(5, 3). F 9 G 18 H 34 J 170 29. Find the coordinates of the midpoint of 𝐿𝐵 if L(8, 5) and B(–6, 2). A (1, 3.5) B (2, 1.5) C (7, 3.5) D (7, 1.5) 30. What is the measure of the each interior angle of a regular pentagon? F 36 G 72 H 108 J 540 These are the formulas that you will be given for the exam: