1. Two birds are flying toward a birdhouse that is halfway between them. The birds are at coordinates A (-4, 4) and B (10, -2). How far will each bird fly (to the nearest foot) to arrive at the birdhouse, if each grid represents 100 feet?: *
2. The line segment CD is the diameter of a circle whose center is the point (2, 1). If the coordinates of C are (0, -2), find the coordinates of D.: *
3. Write in standard form the equation of the line that passes through the point (3,-6) and is perpendicular to the line that passes through the points (1,3) and (6,-7).: *
4. Which of the following groups of points are the vertices of a right triangle?: *
5. Find the area of the dark blue sector shown below. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to the nearest tenth of a square unit.: *
6. Find the value of x in ΔABC: *
7. The length of a rectangle is 1 less than twice its width. A diagonal drawn in the rectangle measures 15. Find the length of the rectangle.: *
8. In the following isosceles trapezoid AB = 3x – 5, CD = x + y, AC = 4x, BD = 3y. Find the length of the diagonal AC.: *
9. Find the area of the rhombus MATH if HA = 6 and TA = 5. : *
10. A side of an equilateral triangle measures 10cm. Find the area of the triangle.: *
11. What is the surface area of a prism whose bases are right triangles with one side measuring 1.5 meters and a hypotenuse measuring 2.5 meters, if it is 2.75 meters tall?: *
12. Write a converse for the statement, ''If a figure has five angles, then it is a pentagon.'':*
13. Find the volume of the cone. (Round to the nearest tenth.): *
14. In the circle given CD = 9, BC = 3. Find the length of AB.: *
15. Find the coordinates of A (3, -2) after it has been translated by reflecting it over the graph of y = 1, then reflecting it over y = -1 and then rotate it 90° around the origin.: *
16. The locus of points equidistant from the four vertices of a given rectangle, in the same plane as the rectangle is:: *
17. Find the area of a regular decagon with a 7 inch radius to the nearest inch.: *
18. Given AD = BE, ∠CDE = ∠CED. Which way will be used to prove ΔCAD = ΔCBE?: *
19. A boat travels 150 miles directly east. It then changes course and travels 40 miles due north. Find the direction it should head to return to its point of origin and the time the trip will take if the boat travels 23 miles/hour.: *
The measures of the angles of a quadrilateral are x+10, 2x+20, x+70, 2x-40. What type or types of quadrilateral could this be?
I. rectangle II. trapezoid III. parallelogram: *
21. In this parallelogram find the measures of x and y.: *
22. If SW=8, find RT to the nearest tenth (Assume RSTW is a kite).: *
23. The volume of a spherical ball with radius of x cm is 125 cm3. Find the volume of a similar balloon with radius 2x cm.: *
24. The volume of a sphere is 4849.05 m3. What is the surface area of the sphere to the nearest hundredth?: *
25. Two vertices of equilateral ΔABC are A(1,7) and B(5,2). The triangle undergoes a dilation with scale factor 3.5. What is the perimeter of the image A'B'C'?: *
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