Special Segments of Triangles

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

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 midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

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

If GB=8, CG=6, AF=4, what is CA?

Back

CA = 8.

Tags

CCSS.HSG.CO.C.11

Front

Find the length of MN if the options are 8, 52, 42, 4 and the correct answer is 52.

Back

MN = 52.

Tags

CCSS.6.G.A.3

Front

What is the relationship between the lengths of the segments created by an angle bisector?

Back

The angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides.

Tags

CCSS.HSG.CO.C.9

Front

How do you find the length of a median in a triangle?

Back

Use the formula: Median = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where a and b are the lengths of the sides adjacent to the median and c is the length of the opposite side.

Tags

CCSS.HSG.CO.C.10

Front

What is the significance of the centroid in a triangle?

Back

The centroid is the point where the three medians intersect, and it divides each median into a ratio of 2:1.

Tags

CCSS.HSG.CO.C.10