Presentation on theme: "Geometry August 19, 2014 Geometry Common Core Test Guide Sample Items."— Presentation transcript:
Geometry August 19, 2014 Geometry Common Core Test Guide Sample Items
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Trees that are cut down and stripped of their branches for timber are approximately cylindrical. A timber company specializes in a certain type of tree that has a typical diameter of 50 cm and a typical height of about 10 meters. The density of the wood is 380 kilograms per cubic meter, and the wood can be sold by mass at a rate of $4.75 per kilogram. Determine and state the minimum number of whole trees that must be sold to raise at least $50,000. The diameter of a sphere is 5 inches. Determine and state the surface area of the sphere, to the nearest hundredth of a square inch.
Agenda Congruence Geometry Regents Test Guide Grade 8 CCSS-Geometry Grade 8 Geometry Tasks HS CCSS-Geometry High School Geometry Tasks Similarity Grade 8 CCSS-Geometry Grade 8 Geometry Tasks HS CCSS-Geometry High School Geometry Tasks
Definition of Reflection The reflection R across a given line L, where L is called the line of reflection, assigns each point on L to itself, and to any point P not on L, R assigns the point R(P) which is symmetric to it with respect to L, in the sense that L is the perpendicular bisector of segment joining P to R(P)
Definition of Rotation The rotation Ro of t degrees (-360 < t < 360) around a given point O, called the center of the rotation, is a transformation of the plane defined as follows. Given a point P, the point Ro(P) is defined as follows. The rotation is counterclockwise or clockwise depending on whether the degree is positive or negative, respectively. If P is distinct from O, then by definition, Ro(P) is the point Q on the circle with center O and radius |OP| so that