SAT Skills Insight

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Geometry and Measurement

Skills needed to score in this band

SKILL 1: Recognize and use volume in solving multistep problems

SKILL 2: Use the relationships between the slopes of parallel and perpendicular lines in the coordinate plane

 

  1. 1

    Recognize and use volume in solving multistep problems

    Example

    Figure
    Note: Figure not drawn to scale.

    The figure above shows a right circular cylindrical wheel of cheese 2 inches high from which a wedge weighing 1 over 2 pound has been cut. All cuts are perpendicular to the base and radiate from points B and C, the centers of the circular top and bottom. What is the weight, in pounds, of the original uncut wheel?

    Answer Choices
  2. 2

    Use the relationships between the slopes of parallel and perpendicular lines in the coordinate plane

    Example

    In the xy-coordinate plane, the slope of line l is 3 and its y-intercept is 2. What is the equation of the line perpendicular to l that intersects l at its y-intercept?

    Answer Choices

Skills needed to score in the next band

Determine the effect of changes in the linear dimensions of a figure on other measures of the figure, such as area

Interpret and solve multistep problems involving geometric proportions

Solve problems involving networks

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