Geometry Chapter 5 Review

Front

What is the Triangle Inequality Theorem?

Back

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

Front

What is the definition of a centroid in 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

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect. It is equidistant from all three vertices.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides.

Front

What is an indirect proof?

Back

An indirect proof is a method of proving a statement by assuming the opposite of what you want to prove, and showing that this assumption leads to a contradiction.

Front

How do you find the length of a segment in a triangle given the centroid?

Back

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side. This is known as the Angle-Side Relationship.

Front

What is the definition of a right triangle?

Back

A right triangle is a triangle that has one angle measuring 90 degrees.

Front

What is the Pythagorean Theorem?

Back

Front

What is the difference between acute and obtuse triangles?

Back

An acute triangle has all angles less than 90 degrees, while an obtuse triangle has one angle greater than 90 degrees.