Topic 5 Practice B

Front

Name the sides of a triangle from LARGEST to SMALLEST.

Back

In a triangle, the sides can be ordered based on their lengths. For example, if the sides are JH, KH, and KJ, the order from largest to smallest is JH, KH, KJ.

Front

What is the length of HG if the options are 28, 14, 41, 7?

Back

The length of HG is 14.

Front

If BE = 15, what is the length of EG?

Back

The length of EG is 5.

Front

If G is the centroid of triangle ABC and BE = 18, what is the length of BG?

Back

The length of BG is 12.

Front

What is the definition of a centroid in a triangle?

Back

The centroid is the point where the three medians of the triangle intersect, and it is also the center of mass of the triangle.

Front

What is a median in a triangle?

Back

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

Front

How do you find the centroid of a triangle given its vertices?

Back

To find the centroid, average the x-coordinates and the y-coordinates of the vertices. If the vertices are (x1, y1), (x2, y2), (x3, y3), the centroid (G) is at G(x, y) = ((x1+x2+x3)/3, (y1+y2+y3)/3).

Front

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

Back

The centroid divides each median into two segments, with the segment connecting the vertex to the centroid being twice as long as the segment connecting the centroid to the midpoint of the opposite side.

Front

What is the definition of an orthocenter in a triangle?

Back

The orthocenter is the point where the three altitudes of a triangle intersect.

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.