Triangles - Relationships & Points of Concurrency

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

If two sides of a triangle are 10 and 6, what is the range of possible lengths for the third side?

Back

Front

What is an angle bisector in a triangle?

Back

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

Front

What is the definition of 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 the definition of 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 Incenter of a triangle?

Back

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

Front

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

Back

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 the Circumcenter of a triangle?

Back

The Circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the circle that circumscribes the triangle.

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the opposite side.