Centers of Triangles

Front

What is a median in a triangle?

Back

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

Front

If CF, BE, and AD are medians of triangle ABC, what is the relationship between the segments created by the medians?

Back

The medians of a triangle intersect at a point called the centroid, which divides each median into a ratio of 2:1.

Front

If BF = 10 in triangle ABC where CF is a median, what is AF?

Back

AF = 10 (since the median divides the opposite side into two equal segments).

Front

What is the angle bisector of a triangle?

Back

An angle bisector is a line that divides an angle into two equal parts.

Front

If m∠LJK = 28°, what is m∠MLK if LJK and MLK are angles on a straight line?

Back

m∠MLK = 180° - m∠LJK = 180° - 28° = 152°.

Front

What is the relationship between the angles in a triangle?

Back

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

Front

If m∠CAP = 34°, what is m∠CAB if CAP and CAB are angles in triangle ABC?

Back

m∠CAB = 180° - m∠CAP - m∠ABC (assuming ABC is a triangle with known angles).

Front

What is a midsegment in a triangle?

Back

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

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

If JL = 22 and FL is a segment in triangle JFL, what is FL if F is the midpoint of JL?

Back

FL = 11 (since F is the midpoint, it divides JL into two equal segments).