Geometry Regents Review

Front

What quadrilaterals have perpendicular diagonals?

Back

The rhombus and the square.

Front

What is the relationship between a tangent and a secant drawn from an external point to a circle?

Back

The square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.

Front

If sin(60) = cos(x + 10), what is the value of x?

Back

x = 20.

Front

How do you find the diameter of a circle given its center and a point on the circle?

Back

Use the distance formula to find the radius, then double it for the diameter.

Front

What is a transformation in geometry?

Back

A change in the position, size, or shape of a figure.

Front

What is a reflection in geometry?

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A transformation that turns a figure around a fixed point.

Front

What is a translation in geometry?

Back

A transformation that slides a figure in a straight line from one position to another.

Front

What is the distance formula?

Back

d = √((x2 - x1)² + (y2 - y1)²) to find the distance between two points (x1, y1) and (x2, y2).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.