B C d d Difficulty Hard NCTM Standard Geometry Standard for Grade 9 12 explore

# B c d d difficulty hard nctm standard geometry

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B C d d Difficulty: Hard NCTM Standard: Geometry Standard for Grade 9-12: explore relationships (including congruence and similarity) among classes of two- and three-dimensional geometric objects, make and test conjectures about them, and solve problems involving them. Mathworld.com Classification: Geometry > Plane Geometry > Miscellaneous Plane Geometry > Area
A circle passes through the three vertices of anisosceles triangle that has two sides of length 3 and abase of length 2. What is the area of this circle? (A)2π(B)52π(C)8132π(D)3π(E)72π 2007 AMC 10 B, Problem #11“DrawBDto be an altitude of the isosceles4ABC.” 8
Difficulty: Hard NCTM Standard: Geometry Standard for Grade 9-12: Analyze characteristics and properties oftwo- and three-dimensional geometric shapes and develop mathematical arguments about geometricrelationships . Mathworld.com Classification: Geometry > Plane Geometry > Triangles > Special Triangles > Other Triangles > Isosceles Triangle Geometry > Plane Geometry > Circles
Tom’s age isTyears, which is also the sum of theages of his three children. His ageNyears ago wastwice the sum of their ages then. What isT/N? 2007 AMC 10 B, Problem #12“The sum of his three children’s agesNyears ago wasT-3N.” Difficulty: Hard NCTM Standard: Number and Operations Standard for Grade 9-12: Understand numbers, ways of representing numbers, relationships among numbers, and number systems. Mathworld.com Classification: Number Theory > Arithmetic > Addition and Subtraction Number Theory > Arithmetic > Fractions > Proportional
Two circles of radius 2 are centered at(2,0)and at(0,2).What is the area of the intersection of theinteriors of the two circles? (A)π-2(B)π2(C)π3(D)2(π-2)(E)π 3