Geometry B Semester Exam

Geometry B Semester Exam Questions and Answers Already Passed The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____. (n-2)180 Which statement can you use to conclude that quadrilateral XYZW is a parallelogram? XW=YZ=XY=WZ Fill in the blank with always, sometimes, or never. If there is not enough information, choose inconclusive. A quadrilateral ___________________ has one pair of parallel sides. sometimes Fill in the blank with always, sometimes, or never. If there is not enough information, choose inconclusive. A parallelogram is ___________________ a rectangle. sometimes A road sign is in the shape of a regular decagon. What is the measure of each angle on the sign? Round to the nearest tenth. 144° For the parallelogram, find coordinates for P without using any new variables. (a + c, b) 7. The measures of two complementary angles are in the ratio 1:9. What are the degree measures of the two angles? 9° and 81° What is the solution of the proportion? 3/4=m/32 24 The polygons are similar, but not necessarily drawn to scale. 10 In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the diagram, the flowers are 3.9 cm apart. How far apart should the actual flowers be planted? 39ft. Determine whether the triangles are similar. If so, what is the similarity statement and the postulate or theorem used? ΔTRS ~ ΔTPQ; SAS ~ Which theorem or postulate proves the two triangles are similar? The diagram is not drawn to scale. SAS Theorem What is the geometric mean of the pair of numbers? 99 and 11 33 Katrina lives directly east of the park. The football field is directly south of the park. The library sits on the line formed between Katrina's home and the football field at the exact point where an altitude to the right triangle formed by her home, the park, and the football field could be drawn. The library is 4 miles from her home. The football field is 18 miles from the library. 6sqrt2 miles: 6sqrt11 miles What is the value of x, given that OP||NQ? x=14 ΔABC has side lengths 20, 24, and 31. Do the side lengths form a Pythagorean triple? no A triangle has side lengths of 18 cm, 80 cm, and 81 cm. Is the triangle acute, obtuse, or right? acute In ΔABC, ∡A is a right angle, and m∡B = 45° 13sqrt3 ft The length of the hypotenuse of a 30°-60°-90° triangle is 7. Find the perimeter. 21/2+7/2sqrt3 What is the missing value to the nearest hundredth? tan = 15 86.19 What are the ratios for sin A and cos A? The diagram is not drawn to scale. sin A=21/29, cos A=20/29 To approach the runway, a pilot of a small plane must begin a 15° descent starting from a height of 2,530 feet above the ground. 9,775.2 mi What is the area of the figure? The diagram is not drawn to scale. 1,056 in^2 An isosceles triangle has an area of 150 ft2 . If the base is 12 ft, what is the length of each leg? Round the answer to the nearest tenth. 25.0 ft Find the area of the trapezoid. Leave your answer in simplest radical form. The figure is not drawn to scale. 96 cm^2 A kite has diagonals 9.8 ft and 7 ft. What is the area of the kite? 34.3 ft^2 What is the area of a regular octagon with an apothem 16 inches long and a side 19 inches long? Round the answer to the nearest inch. 1,216 in^2 Hiram raises earthworms. In a square of compost 4 ft by 4 ft, he can have 1,000 earthworms. How many earthworms can he have if his square of compost has a side length that is five times longer? 25,000 What is the circumference of the circle in terms of pi? 20pi in. What is the length of XPY in terms of pi? 30pi m What is the area of the circle in terms of pi? 4.2025pi m^2 What is the area of the figure to the nearest tenth? 24.0 in.2 Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number. The figure is not drawn to scale. 472 m^2 ; 486 m^2 Use Euler's Formula to find the missing number. Edges: 43 Faces: 25 Vertices: ? 20 What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale. 308pi in.^2 What is the surface area of the pyramid shown to the nearest whole number? The diagram is not drawn to scale. 72 ft^2 What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round the answer to the nearest square meter. 2,833 m^2 Cylinder A has a radius of 1 m and a height of 4 m. Cylinder B has a radius of 2 m and a height of 4 m. What is the ratio of the volume of cylinder A to the volume of cylinder B? 1:4 What is the volume of the oblique cone shown? Round the answer to the nearest tenth. The diagram is not drawn to scale. 3,463.6 in.^3 What is the surface area of a sphere with a circumference of 30 ft? Round the answer to the nearest tenth. 286.5 ft^2 The volume of a sphere is 2,254pi m3. What is the surface area of the sphere to the nearest tenth? 1,783.3 m^2 What is the scale factor of a cube with a volume of 343 m^3 to a cube with a volume of 5,832 m^3? 7:18 O is the center of the given circle. The measure of angle O is 134°. The diagram is not drawn to scale. 46 What is the value of x? Round the answer to the nearest tenth. The diagram is not drawn to scale. 60 In the circle, mBC = 72°. The diagram is not drawn to scale. What is m∡BCP? 36° In the figure, mDE = 118° and mBC = 48°. The diagram is not drawn to scale. 35° In the figure, m = 45° and m = 23°. The diagram is not drawn to scale. 34° What is the standard equation of the circle in the graph? (x+3)^2+(y-2)^2=9 What is the equation of the circle with center (-6,7) that passes through the point (4, -2) (x+6)^2+(y-7)^2=181