Special Segments of Triangles

Front

What is a perpendicular bisector?

Back

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

Front

What is the centroid of a triangle?

Back

The point where the three medians of a triangle intersect.

Tags

CCSS.HSG.CO.C.10

Front

What is the inscribed circle of a triangle?

Back

A circle drawn inside a triangle that touches all three sides, centered at the intersection of the angle bisectors.

Front

What is the circumcircle of a triangle?

Back

A circle that passes through all three vertices of a triangle, centered at the intersection of the perpendicular bisectors.

Front

If two sides of a triangle are congruent, what is the triangle called?

Back

An isosceles triangle.

Front

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

Back

In a triangle, the larger angle is opposite the longer side.

Tags

CCSS.HSG.CO.C.10

Front

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

Back

Use the formula: m = 1/2 * sqrt(2a^2 + 2b^2 - c^2), where m is the median, and a, b, c are the sides of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

What is the angle bisector theorem?

Back

It states that the ratio of the lengths of the two segments created by the angle bisector is equal to the ratio of the lengths of the other two sides of the triangle.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

What is the significance of the orthocenter in a triangle?

Back

The point where the three altitudes of a triangle intersect.

Tags

CCSS.HSG.C.A.3