Special Segments in Triangles

Front

What is a perpendicular bisector in a triangle?

Back

A perpendicular bisector is a line segment that divides another 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 the triangle to the midpoint of the opposite 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

What is an angle bisector in a triangle?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

How can you identify a perpendicular bisector in a triangle?

Back

A perpendicular bisector can be identified as a line that intersects a side of the triangle at its midpoint and forms right angles with that side.

Tags

CCSS.HSG.CO.C.9

Front

What is the relationship between the altitude and the opposite side in a triangle?

Back

The altitude creates two right triangles within the original triangle, allowing for the application of the Pythagorean theorem.

Tags

CCSS.HSG.CO.C.10

Front

What is the significance of the centroid in relation to the medians of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

Front

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

Back

The length of a median can be calculated using the formula: m = 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 side opposite the median.

Tags

CCSS.HSG.CO.C.10

Front

What is the relationship between the angle bisector and the sides of a triangle?

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 can you determine if a line is an altitude?

Back

A line is an altitude if it is perpendicular to the opposite side and extends from a vertex of the triangle.