Geometry Regents Review Formulas

Which object is formed when right triangle RST shown below is rotated around leg RD?

• A pyramid with a square base

• an isosoceles Triangle

• a right triangle

• A cone

The center of circle Q has coordinates (3, -2). If circle Q passes through R(7,1), what is the length of its diameter?

• 50

• 25

• 10

• 5

A parallelogram must be a rectangle when its

• diagonals are perpendicular

• diagonals are congruent

• opposite sides are parallel

• opposite sides are congruent

What is the measure of the largest angle in the accompanying triangle?

• 41

• 46.5

• 56

• 83

The diagram shows two intersecting paths within a circular garden. What is the length of the portion of the path marked x?

• 8 and 1/3

• 11

• 3

• 12

In the diagram below, tangent PA and secant PBC are drawn to circle O from external point P. If PB =4 and BC = 5, what is the length of PA?

• 20

• 9

• 8

• 6

For a circle of radius 7 feet, find the arc length s cut off by a central angle of 6 degrees

• 42 pi feet

• 7/10 pi feet

• 7/30 pi feet

• 7/15 pi feet

In the scalene triangle ABC shown in the diagram below, M< C = 90 degrees. Which equation is always true?

• sin A = Sin B

• Cos A = Cos B

• Cos A = Sin C

• Sin A = Cos B

A water cup in the shape of a cone has a height of 4 inches and a maximum diameter of 3 inches. What is the volume of the water in the cup, to the nearest tenth of a cubic inch, when the cup is filled to half its height?

• 1.2

• 3.5

• 4.7

• 14.1

The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a

• circle

• square

• triangle

• rectangle