Chapter 5 Review: Geometry

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

In a triangle, how can you determine which angle is the largest?

Back

The largest angle in a triangle is opposite the longest side.

Front

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

Back

In any triangle, the larger the angle, the longer the side opposite that angle.

Front

If G is the centroid of triangle ABC and GF = 4, what is the length of GC?

Back

GC = 8, because the centroid divides each median into a 2:1 ratio.

Front

What is the longest side of a triangle?

Back

The longest side of a triangle is always opposite the largest angle.

Front

How do you write an inequality comparing two angles?

Back

You can write an inequality such as ∠1 > ∠2 if angle 1 is larger than angle 2.

Front

What is the definition of a median in a triangle?

Back

A median is a line segment from a vertex to the midpoint of the opposite side.

Front

What is the Triangle Inequality Theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

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

Back

If you know the length of the segment from the centroid to a vertex, you can find the length of the entire median by multiplying by 3/2.

Front

What is the significance of the longest side in a triangle?

Back

The longest side indicates the largest angle and helps in determining the triangle's type (acute, right, obtuse).