Chapter 5 Test Review

Midsegment

• Three or more lines that intersect at one point

• A segment connecting the midpoints of two sides of the triangle

• The point of concurrency of the angle bisector

• A segment whose endpoints are a vertex and the midpoint of the opposite side

Perpendicular Bisector

• The point at which three or more lines intersect

• Three or more lines that intersect at one point

• A segment, ray, or line that intersects a given segment at a 90 degree angle and passes through the given segment's midpoint

• The point of concurrency of the medians

Tags

CCSS.HSG.CO.C.9

Concurrent Lines

• Three or more lines that intersect at one point

• The point of concurrency of the perpendicular bisectors of a triangle

• The point of concurrency of the angle bisectors

• The point of concurrency of the medians

Tags

CCSS.HSG.C.A.3

Point of Concurrency

• Three or more lines that intersect at one point

• A segment, ray, or line that intersects a given segment at a 90 degree angle and passes through the given segment's midpoint

• A segment whose endpoints are a vertex and the midpoint of the opposite side

• The point at which three or more linesintersect

Tags

CCSS.HSG.CO.C.9

Circumcenter

• The point of concurrency of the perpendicular bisectors of a triangle

• the point of concurrency of the medians

• The point of concurrency of the angle bisectors

• Three or more lines that intersect at one point

Tags

CCSS.HSG.C.A.3

Incenter of a Triangle

• The perpendicular segment from the vertex of a triangle to the line containing the opposite side

• the point of concurrency of the medians

• A segment connecting the midpoints of two sides of the triangle

• The point of concurrency of the angle bisectors

Tags

CCSS.HSG.C.A.3

Median

• A segment whose endpoints are a vertex and the midpoint of the opposite side

• A perpendicular segment from the vertex of a triangle to the line containing the opposite side

• A segment connecting the midpoints of two sides of a triangle

• The point of concurrency of the medians

Tags

CCSS.HSG.CO.C.10

Centroid of a Triangle

• The point of concurrency of the angle bisectors

• The point of concurrency of the medians

• Three or more lines that intersect at one point

• A segment connecting the midpoints of two sides of the triangle

Tags

CCSS.HSG.CO.C.10

Altitude of a Triangle

• The point at which three or more lines intersect

• A segment, ray, or line that intersects a given segment at a 90 degree angle and passes through the given segment's midpoint

• A segment whose endpoints are a vertex and the midpoint of the opposite side

• The perpendicular segment from the vertex of a triangle to the line containing the opposite side

Theorem 5-3: Angle Bisector Theorem

• If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle

• The lines that contain the altitudes of a triangle are concurrent. These lines are concurrent at the orthocenter of the triangle

• the bisectors of the angles of a triangle are concurrent at a point equidistant from the sides of the triangle

• If two sides of a triangle are not congruent, then the larger side lies opposite the larger angle

Tags

CCSS.HSG.CO.C.9