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For more New Redesigned SAT materials, please see:

In addition to the questions in Heart of Algebra, Problem Solving and Data Analysis and Passport to Advanced Math, the SAT Math Test will have questions from the areas of geometry, trigonometry and complex numbers.

The following videos and solutions will show you how to solve a variety of Geometry problems for the New Redesigned SAT.

These are some of the areas in Geometry that you will need to know for the SAT Math Test.

Try out the following Geometry Questions to help you prepare for the SAT, ACT or other similar examinations.

(Note: You may need to enable JavaScript on your browser for the hints and solutions to show properly.)

Related Topics: More Geometry LessonsWhat is the area of the following square, if the length of BD is ?

(A) |
1 |

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In the figure below, what is the value of *y* ?

(A) |
40 |

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Two circles both of radii 6 have exactly one point in common. If *A* is a point on one circle and *B* is a point on the other circle, what is the maximum possible length for the line segment *AB*?

(A) |
12 |

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A right circular cylinder has a radius of 3 and a height of 5. Which of the following dimensions of a rectangular solid will have a volume closest to the cylinder.

(A) |
4, 5, 5 |

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Note: Figures not drawn to scale

In the figures above, *x* = 60. How much more is the perimeter of triangle *ABC* compared with the triangle *DEF*.

(A) |
0 |

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This is an SAT style Geometry problem that requires good thinking to solve it. It goes beyond knowing the mathematical formulae.

In the figure below, arc SBT is one quarter of a circle with center R and radius 7. The length plus the width of the rectangle ABCR is 9.5. Find the perimeter of the shaded region.

Geometry challenge problem from past GMAT exam.

SAT Math Practice Question - Shaded Area Geometry.

In the figure WXYT is a square and triangle TYZ is equilateral. If WXYT has area 1, what is the area of triangle TYZ?

Hint: The angles in an equilateral triangle are 60°.

In the figure line OB is rotated counterclockwise, keeping point O fixed. What will be the coordinates of point B when it meets the y-axis?