Perpendicular bisector theorem

Front

The point where the 3 perpendicular bisectors of a triangle cross is called the ___?

Back

Circumcenter

Tags

CCSS.HSG.C.A.3

Front

The CIRCUMCENTER is the intersection of which special segments?

Back

Perpendicular Bisectors

Tags

CCSS.HSG.C.A.3

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 relationship between the circumcenter and the vertices of a triangle?

Back

The circumcenter is equidistant from all three vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

If a triangle has sides of lengths 6, 8, and 10, what is the circumradius?

Back

The circumradius is 5.

Tags

CCSS.HSG.C.A.3

Front

What is the formula for finding the circumradius (R) of a triangle with sides a, b, c?

Back

R = (abc) / (4K), where K is the area of the triangle.

Front

If BC is 18, what is DC if D is the midpoint of BC?

Back

DC = 9.

Tags

CCSS.HSG.GPE.B.6

Front

What is the definition of a median in a triangle?

Back

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

Front

What is the centroid of a triangle?

Back

The centroid is the point where the three medians intersect.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a segment if it is bisected?

Back

The length of each segment is half of the original segment's length.

Tags

CCSS.4.G.A.1