Geo Mod 4 Review - Triangle Properties

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 (The centroid divides each median into a ratio of 2:1, so GC is twice the length of GF.)

Front

What is the relationship between the segments created by the centroid on a median?

Back

The shorter segment is one third the length of the entire median, while the longer segment is two thirds.

Front

What is 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 formula for finding the length of a median in a triangle?

Back

The length of a median can be calculated using the formula: m = 1/2 * √(2a² + 2b² - c²), where a and b are the lengths of the sides adjacent to the median, and c is the length of the side opposite the median.

Front

What is an angle bisector?

Back

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

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle and is parallel to the third side.

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

How do you find the measure of an angle in a triangle?

Back

You can use the properties of triangles, such as the sum of angles in a triangle equals 180 degrees, to find the measure of an angle.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.