SAT Skills Insight
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Next Tests:
1/24
, 3/14
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Geometry and Measurement
Skills needed to score in this band
SKILL 1: Recognize and use the following:
— Simple inscribed and circumscribed figures
— The Pythagorean Theorem
— Coordinate geometry (e.g., slope calculations)
— Parallelism and perpendicularity
— Two and threedimensional figures
— Figures composed of two or more simple shapes
SKILL 2: Interpret and solve twostep problems involving geometric proportions

1
Recognize and use the following: Simple inscribed and circumscribed figures
ExampleIn the figure above, square is inscribed in the circle. What is the degree measure of arc ?

2
Recognize and use the following: The Pythagorean Theorem
ExampleIn triangle above, what is the length of side ?

3
Recognize and use the following: Coordinate geometry (e.g., slope calculations)
ExampleIn the plane, what is the slope of the line through the points and ?

4
Recognize and use the following: Parallelism and perpendicularity
ExampleIn the figure above, lines and are parallel. What is the value of ?

5
Recognize and use the following: Two and threedimensional figures
ExampleWhat is the maximum number of rectangular blocks measuring inches by inches by inch that can be packed into a cubeshaped box whose interior measures inches on an edge?

6
Recognize and use the following: Figures composed of two or more simple shapes
ExampleWhat is the area of the figure above?

7
Interpret and solve twostep problems involving geometric proportions
ExampleThe large cube in the figure above is divided as shown into smaller cubes, all of equal volume. If of these smaller cubes have a combined volume of , what is the volume of the large cube?
Skills needed to score in the next band
Recognize and use volume in solving multistep problems
Use the relationships between the slopes of parallel and perpendicular lines in the coordinate plane