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Honors Geometry Exam Review Exam Review Unit 7 List all possible names for the quadrilateral below? • • | | • | | • 1. Name:_____________________ List all possible names for quadrilateral ABCD with vertices: 2. A(.5,2), B(-3,6), C(,6,6), and D(4,2)? 3. 4. List all the quadrilaterals that can contain four right angles. Honors Geometry Exam Review 5. Find the other three angles in the parallelogram if Angle CDA is 650. A B D C 6. A parallelogram has an angle of 1200. Find the measure of the other three angles. 7. Which statement can you use to conclude that quadrilateral XYZW is a parallelogram? X Y N W Z a. b. c. d. Name the figure and find the missing angle measures: 11. 12. 13. HIJK is a rectangle. Draw a picture and find the lengths of the diagonals if Honors Geometry Exam Review Determine the most specific name for the quadrilateral. If not, write impossible: 14. 15. Find the missing angle measures: 16. 17. Find the value of the variable(s) and the angle measures: 18. 19. Find the missing angle measures: 20. 21. Honors Geometry Exam Review +____ 23 Unit 8 Exam Review Find the circumference of each circle, then find its area. 60) C = _______ A = ______ Find the length of 63) 61) C = _______ A = ______ 62) C = _______ A = ______ 64) 65) . = _________ = _________ = _________ Find the area of the shaded region. 66) A = ________ 67) A = ________ 68) A = ________ 69) Find the perimeter of the track to the nearest tenth. Perimeter of Track = ___________ Honors Geometry Exam Review 70) Define APOTHEM. Find the area of the regular polygon. Round to the nearest tenth. 71) A = ________ 72) A = ________ 73) A = ________ 74) a hexagonal swimming pool cover with radius 5 ft 75) a square deck with radius 2 m Identify the shape, formula used & find the area. 76) 77) 15 Honors Geometry Exam Review Find the probability that a dart thrown at the figure will land in the shaded area. (Assume all darts hit the figure) 78) __________ 80) __________ 82) Find the area of the triangle, in square units. 79) __________ 81) __________ Honors Geometry Exam Review Exam Review Unit 9 Name:_____________________ Identify that theorem that proves the two triangles are SIMILAR. 1) _____________ 2) _____________ 3) _____________ 4) How many theorems are there that prove 2 triangles are similar? ________ 5) List the theorems that prove 2 triangles are similar. ________________________________________ 6) ____________ 7) ____________ 8) ____________ Calculate the geometric mean between the two numbers. 9) 4 and 9 _____________ Find x in the triangles below. 12) ____________ 10) 5 and 10 11) 8 and 9 _____________ _____________ 13) ____________ 14) ____________ +____ 20 Honors Geometry Exam Review The two figures are similar regular polygons. Calculate the perimeter of the smaller figure. 15) Perimeter = ____________ 16) Perimeter = ____________ 17.) Starting at point A, Sally walks 8 feet due east. She then turns 20o to the left and walks another 8 feet. She then turns 20o to the left, walks another 8 feet, turns left another 20o, and so on until she returns to her starting point. How far does she walk to the nearest foot? 18) Identify the formula to find GEOMETRIC MEAN. 19) it. Identify the Angle Bisector Theorem. Know how to apply it and solve for missing sides using 20) Identify The Side-splitting Theorem. Know how to apply it and its 2 Corollaries. Honors Geometry Exam Review For questions #21-22, use the figure to the right: X’R’T’ is a dilation image of XRT. 21) Find the similarity ratio for the dilation pictured. 22) If R’T’ = 22 cm, then RT = ________. For questions #23-24, use the figure to the right: A’B’C’D’ is a dilation image of ABCD. 23) Find the similarity ratio for the dilation pictured. 24) If A’B’ = 18 in, then AB = ________. 25) Natasha places a mirror on the ground 24 ft from the base of an oak tree. She walks backward until she can see the top of the tree in the middle of the mirror. At that point, Natasha’s eyes are 5.5 ft above the ground, and her feet are 4 ft from the image in the mirror. Find the height of the oak tree. 26) Find x. 27) A man 6 ft tall casts a shadow 4 ft long. At the same time, a building casts a shadow 60 ft long. How tall is the building? Make a drawing to represent the situation. Honors Geometry Exam Review Unit 10 Exam Review +____ 11 Write the trigonometry ratio for the given angle, then find the value of x. 28) tan x = ________ 29) tan x = ________ sin x = ________ sin x = ________ cos x = ________ cos x = ________ x = _______ x = _______ Write the expression needed to solve for x. 30) 31) 32) Describe the two vectors with coordinates and with direction and magnitude. 33) ________________ 34) ________________ Honors Geometry Exam Review 35) A surveyor measures the top of building 36 feet away from her. Her angle measuring device is 5 feet above the ground. The angle of elevation to the top of the building is 48o. How tall is the building to the nearest foot? 36) A hiker leaves point A and hikes 6 miles straight north. She then turns right and hikes 5 miles east, then turns left and hikes 2 north. She stops for a water break then hikes 11 miles straight west. At this time, what is her straight line distance from her starting point A? 37) Plot the points (4,4), (4,-4), (-4,4), and (-4,-4). Now find the length of one of the diagonals of the square? 38) Find the missing variables. Honors Geometry Exam Review Unit 11 Exam Review For #83 & 84, Identify how many faces, vertices and edges the figure below has. +____ 16 87) Find the volume of the solid. 83) 5 in. 9 in. 5 ft 7 in. 6 ft 84) 6 ft 3m 5m 4m 19 m 85) Find the surface area and volume of the prism. 88) Find the volume of the cone. 25.08 m 24 cm 7 cm 45 m 10 m 89) Find the volume of the cone. 23 m 86) Find the volume of the cylinder. 7 cm 8m 2 cm 10.4 m Honors Geometry Exam Review 90) Find the surface area of the sphere. 95) Identify the shape of the cross section if a plane intersected the cylinder being parallel to the bases. 96) Using the figure above, Identify the shape of the cross section if a plane intersected the cylinder being perpendicular to the bases. 97) What is the volume of the square pyramid if the height is 10 in? What is the volume of the cube? What is the ratio of the volumes? 5m 91) Find the volume of the sphere. 21 mm 92) The shipping crates shown are similar. a. Find the ratio of their volumes. Slant height = 3 2 3 5 93) A plane is parallel to the base of a right cone. What is the shape of the resulting planar cross section? 94) A plane is perpendicular to the base of a right cone. What is the shape of the resulting planar cross section? Sides of Cube are all 10 in. 98) Compare the volume formulas of a pyramid and a cube. What is the difference??