Geometry: Relationships within Triangles

Front

What is the relationship between the angles in a triangle?

Back

The sum of the interior angles in a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

What is an angle bisector?

Back

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

Tags

CCSS.HSG.CO.C.9

Front

What is the incenter of a triangle?

Back

The incenter is the point where the three angle bisectors of a triangle intersect, and it is the center of the triangle's incircle.

Tags

CCSS.HSG.C.A.3

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect, and it is the center of the triangle's circumcircle.

Tags

CCSS.HSG.C.A.3

Front

What is the centroid of a triangle?

Back

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

Tags

CCSS.HSG.CO.C.10

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 perpendicular bisector?

Back

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

Front

What is an altitude in a triangle?

Back

An altitude is a line segment from a vertex of a triangle that is perpendicular to the opposite side.

Front

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

Back

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

Tags

CCSS.HSG.CO.C.10

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are equal in length and all three angles are equal to 60 degrees.

Tags

CCSS.4.G.A.2