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GEOMETRY CP CHAPTER 9 SPIRAL REVIEW 1. Is it possible to construct a triangle with side lengths of 4, 6, 9? If so, is the triangle acute, obtuse or right? NAME: __________________________ BLK: ______ DATE: _______________ 7. In the figure below, if sin x = cos x and tan x? 12 13 12 B. cos x 13 13 C. cos x 12 13 D. cos x 12 A. cos x 2. Find the area of a right triangle with a hypotenuse of 15in and a leg of 12in. 3. Find the value of the variable. 5 , what are 13 5 12 12 and tan x 5 5 and tan x 12 13 and tan x 5 and tan x x 8. What is the measure of PQ ? 4. If RSTW is a rhombus, find XT and XW. A. B. C. D. 50° 60° 70° 120° 9. Find the value of x and then classify the triangle as acute, right, or obtuse. 2x° 5. If RSTW is a rhombus in #3, what is the area of WXT? A. B. C. D. 18 3 60° 10. Find the value of x. 36 3 36 48 6. Find the value of x. Round answer to two decimal places. 11. Find p and k. 3x° 12. Find the value of the variables. 18. What is the first step in constructing the angle bisector of angle A? 13. Explain why ACD CAB. A. Draw ray AD B. Draw a line segment connecting points B and C C. From points B and C, draw equal arcs that intersect at D D. From point A, draw an arc that intersects the sides of the angle at points B and C. A. B. C. D. Vertical angles and cpctc Vertical angles and AAS Reflexive Property and cpctc Reflexive Property and AAS 19. “Two lines in a plane always intersect in exactly one point.” Which of the following best describes a counterexample to the assertion above? 14. Find the area of the parallelogram. A. B. C. D. 15. Find the area of the trapezoid. coplanar lines parallel lines perpendicular lines intersecting lines 20. Find the radius and center of the circle with the equation ( x 2)2 ( y 10)2 121 . Mixed Solutions: 16. Find the surface area. 142ft2 73 3 A 24°, acute D 105ft3 D B 54in2 27.64° D 17. Find the volume of #16. A 2, 10 r 11 6, 6 3 x 105 y 76 95u 2 Yes, obtuse p = 58° k=3 A 84u 2