799-2000-test

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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?
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