799-2000-test
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Arizona State University *
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Mathematics
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Apr 3, 2024
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- G. HOLMES BRADDOCK SENIOR HIGH SCHOOL FEBRUARY 26, 20600 GEOMETRY TEAM Question #1 Find the area of the locus of all points in a plane that are less than 5 units away from the point ("3,’7). Question #2 The measure of the supplement of an angle is 60 less than 3 times the measure of its complement. Find the measure of the supplement. Question #3 Three right isosceles A’s have hypotenuses which are connected as shown. Find the area of the new A formed, if the three right isosceles A’s have areas of 32m?, 18m? and 8m?2 Question #4 The bisectors of two angles of a triangle form a 123° angle. What is the measure of the third angle of the triangie? Question #5 The lengths of the sides of a triangle are 4, 5, and 6. Each side is trisected and the points of division are joined to form a hexagon. What is the perimeter of the hexagon?
G. HOLMES BRADDOCK SENIOR HIGH SCHOOL FEBRUARY 26, 2000 GEOMETRY TEAM Question #6 Given the figure as marked, solve forx +vy + z. Z el W - 3 X Question #7 Find the number of pairs of vertical angles determined by eight distinct, concurrent lines. Question #8 V4 // ' Assuming that you are permitted to rearrange the parts in A4 any way after each cutting, what is the fewest number of e /| cuts needed to cut this one cube into 64 smaller cubes? | // / / 4% / // Vi L | g Question #9 A solid metal cylinder with radius 6 cm and height of 18 cm is melted down and recast as a solid cone with radius 9 cm. Find the height of the cone. Question #10 The two squares have sides of length 2 and 5. Assume that points A, B, and C are collinear. Find the area of the shaded region. o Eleven Bulldogs are in a fenced in yard as shown. What is the minimum number of lines needed to separate the ferrous 2 o man eating animals from each other?
G. HOLMES BRADDOCK SENIOR HIGH SCHOOL FEBRUARY 26, 2000 GEOMETRY TEAM Question #12 P A cube with edge 5 is cut by a plane to create quadrilateral / ABCD. Points B and D are midpoints of their respective 4 edges. Find the area of ABCD. C Question #13 The centers of four congruent circles form a square. A belt surrounds the circles with no slack as shown. The length of the belt is 21 + 8. If these tangent circles are then rearranged to form a “parallelogram” as shown, what is the length of the new belt (assume again that the belt has no slack!)? Question #14 Two support wires are attached to tower CD as shown. Find the distance AD. Round your answer to the nearest whole meter. 9\ 53 m ™ / \ / amo . A 42 1 3 ~_B D Question #15 The base angles of an isosceles triangle have measures 2x* - 5 and 5x + 7. What is the measure of the vertex angie?
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