Review Special Segments in Triangles

Front

What is the INCENTER of a triangle?

Back

The INCENTER is the point where the angle bisectors of a triangle intersect.

Front

Which special segment intersects at the INCENTER?

Back

Angle Bisectors.

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

What is the relationship between the centroid and the median in a triangle?

Back

The centroid divides each median into two segments, with the shorter segment being one third the length of the entire median.

Front

If m<GCD=3x+8 and m<DCF=5x-4, what is the value of x when they are equal?

Back

x = 6.

Front

What is a median in a triangle?

Back

A median is a line segment that connects a vertex 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 definition of a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

How do you find the length of a median in a triangle?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Front

What is the relationship between the lengths of the segments created by the centroid on a median?

Back

The centroid divides the median into a ratio of 2:1, with the longer segment being twice the length of the shorter segment.