GEOMETRY REGENTS REVIEW

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h, where r is the radius and h is the height.

Front

How do you find the volume of a cone filled to half its height?

Back

Calculate the volume using the height as half of the original height.

Front

What shape is formed when a right triangle is rotated around one of its legs?

Back

A cone.

Front

What is a scalene triangle?

Back

A triangle with all sides of different lengths.

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, sin A = cos B, where A and B are the non-right angles.

Front

What properties do the diagonals of a rhombus have?

Back

The diagonals bisect each other and bisect the angles of the rhombus.

Front

What is the formula for arc length in a circle?

Back

Arc length s = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

How do you calculate the arc length for a central angle of 6 degrees in a circle with radius 7 feet?

Back

s = (6/360) * 2π * 7 = (1/60) * 14π = 7/30 π feet.

Front

What is the definition of a quadrilateral?

Back

A four-sided polygon.

Front

What is a rhombus?

Back

A quadrilateral with all four sides of equal length.