Regents Review #6

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect.

Front

What segments intersect at the orthocenter of a triangle?

Back

The orthocenter is the intersection of the altitudes of a triangle.

Front

What does the letter 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated as A = length × width.

Front

What is the formula for the area of a circle?

Back

The area of a circle is calculated as A = πr², where r is the radius.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is the difference between a median and an altitude?

Back

A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.

Front

What is the significance of the circumcenter in a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

Front

What is the significance of the incenter in a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect, and it is the center of the inscribed circle.