Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians of a triangle intersect. It is also the center of mass of the triangle.

Front

If AZ = 12 and Z is the centroid, what is the length of ZY?

Back

ZY = 6, because the centroid divides each median into a ratio of 2:1.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Front

What is a bisector in geometry?

Back

A bisector is a line or ray that divides an angle or a segment into two equal parts.

Front

If ray BD is a bisector of angle ABC, what can be said about angles ABD and DBC?

Back

Angles ABD and DBC are equal.

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Front

How do you find the length of a side in a right triangle using the Pythagorean theorem?

Back

a² + b² = c², where c is the hypotenuse.

Front

What is the value of m<DBE if it is given as 40 degrees?

Back

m<DBE = 40 degrees.

Front

What is the definition of a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

What is the significance of the median in a triangle?

Back

A median connects a vertex to the midpoint of the opposite side, dividing the triangle into two smaller triangles of equal area.