GM-U5.1a Lesson Check: Perpendicular Bisectors of Triangles

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 the relationship between a point on the perpendicular bisector and the endpoints of the segment?

Back

A point on the perpendicular bisector is equidistant from the endpoints of the segment.

Tags

CCSS.HSG.CO.C.9

Front

How do you find the midpoint of a segment?

Back

The midpoint of a segment can be found by averaging the x-coordinates and the y-coordinates of the endpoints.

Tags

CCSS.HSG.GPE.B.6

Front

What is the significance of the midpoint in relation to perpendicular bisectors?

Back

The perpendicular bisector of a segment passes through its midpoint.

Tags

CCSS.HSG.CO.C.9

Front

If a point is equidistant from two points, what can be said about its location?

Back

It lies on the perpendicular bisector of the segment connecting the two points.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula for finding the distance between two points (x1, y1) and (x2, y2)?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

In triangle geometry, what does it mean for a triangle to be isosceles?

Back

An isosceles triangle has at least two sides that are equal in length.

Tags

CCSS.4.G.A.2

Front

What is the relationship between the sides of a triangle and its perpendicular bisectors?

Back

The perpendicular bisectors of a triangle intersect at a point called the circumcenter, which is equidistant from the vertices of the triangle.

Tags

CCSS.HSG.C.A.3

Front

How can you determine if a point is on the perpendicular bisector of a segment?

Back

You can determine this by checking if the distances from the point to the endpoints of the segment are equal.

Tags

CCSS.HSG.CO.C.9

Front

What is the circumcenter of a triangle?

Back

The circumcenter is the point where the perpendicular bisectors of the sides of the triangle intersect.

Tags

CCSS.HSG.C.A.3