Int 2 Winter Final Review (Pt 1)

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 GF is 4 and G is the centroid, what is the length of GC?

Back

8 (In a triangle, the centroid divides each median into a ratio of 2:1.)

Front

Which leg of the trip is the longest: Fairbanks to Nome, Nome to Barrow, or Barrow to Fairbanks?

Back

Fairbanks to Nome.

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

Can a triangle with side lengths 15, 12, and 9 exist?

Back

Yes (The sum of the lengths of any two sides must be greater than the length of the third side.)

Front

Which set of numbers can represent the lengths of the sides of a triangle: {2,5,9}, {6,6,7}, {6,4,2}, or {7,8,1}?

Back

{6,6,7} (The triangle inequality theorem must be satisfied.)

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

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

What is a vertex in geometry?

Back

A vertex is a point where two or more lines meet, commonly referred to as a corner.