Triangle Segments Triangle Midsegment A midsegment of a

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Triangle Segments

Triangle Segments

Triangle Midsegment A midsegment of a triangle is a segment connecting the midpoints of

Triangle Midsegment A midsegment of a triangle is a segment connecting the midpoints of two sides of a triangle. ____ Example: DE

Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a

Triangle Midsegment Theorem If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half (1/2) as long. __ If DE is a midsegment of △ABC, __ __ __ then DE II AC and DE = ½ AC or AC = 2(DE) II is the symbol for parallel

Perpendicular Bisector A line, segment, or ray that divides a segment into two equal

Perpendicular Bisector A line, segment, or ray that divides a segment into two equal parts and is perpendicular to the segment. ⊥ = symbol for perpendicular Perpendicular = a straight line at an angle of 90° to a given line, plane, or surface.

Perpendicular Bisector Theorem If a point lies on the perpendicular bisector of a segment,

Perpendicular Bisector Theorem If a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. <____> ____ ____ If CD ⊥ AB and AD ≅ DB then AC ≅ CB

Converse of the Perpendicular Bisector Theorem If a point is equidistant from the endpoint

Converse of the Perpendicular Bisector Theorem If a point is equidistant from the endpoint ____ ____ <____> segment, If AC ≅ CB and CD ⊥ AB then AD ≅then DB it is on the perpendicular b the segment.

Circumcenter The point at which the three perpendicular bisectors intersect in a triangle.

Circumcenter The point at which the three perpendicular bisectors intersect in a triangle.

Angle Bisector A line, segment, or ray that divides an angle into two equal

Angle Bisector A line, segment, or ray that divides an angle into two equal parts. Converse Angle Bisector of the. Theorem Angle – If a point is on Bisector Theorem a bisector – Ifof a point an angle, is on then interior the point of anisangle equidistance and equidistant from thethe sides of theofangle. sides the angle, then the point is on the angle bisector.

Incenter The point at which the three angle bisectors intersect in a triangle.

Incenter The point at which the three angle bisectors intersect in a triangle.

Parts of a Right Triangle Side C is called the Hypotenuse. Sides A and

Parts of a Right Triangle Side C is called the Hypotenuse. Sides A and B are called Legs.

Median A segment that connects a vertex of a triangle to the midpoint of

Median A segment that connects a vertex of a triangle to the midpoint of the opposite side. Vertex – A point where two or more line segments meet.

Centroid The point at which the three medians intersect in a triangle.

Centroid The point at which the three medians intersect in a triangle.

Altitude A segment joining a vertex of a triangle to the opposite side so

Altitude A segment joining a vertex of a triangle to the opposite side so that it is perpendicular to that side. Altitudes can be found inside a triangle, outside a triangle, or a side of a triangle.

Orthocenter All three altitudes of a triangle intersect at a point called the orthocenter.

Orthocenter All three altitudes of a triangle intersect at a point called the orthocenter.

CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTSCLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS
Midsegment of a triangle Midsegment of a triangleisMidsegment of a triangle Midsegment of a triangleis
5 4 The Triangle Midsegment Theorem Vocabulary midsegment5 4 The Triangle Midsegment Theorem Vocabulary midsegment
Triangle Midsegment Theorem 6 4 A midsegment ofTriangle Midsegment Theorem 6 4 A midsegment of
Lesson 5 4 Prove Midsegment Theorem Use MidsegmentLesson 5 4 Prove Midsegment Theorem Use Midsegment
TRIANGLE Segitiga Triangle Around Us Definition of triangleTRIANGLE Segitiga Triangle Around Us Definition of triangle
UROGENITAL TRIANGLE Urogenital triangle The urogenital triangle makesUROGENITAL TRIANGLE Urogenital triangle The urogenital triangle makes
Midsegments of Triangles A midsegment of a triangleMidsegments of Triangles A midsegment of a triangle
420 Triangle Midsegment Do Now If m 13420 Triangle Midsegment Do Now If m 13
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 The Triangle Midsegment Theorem Warm UpPass5 4 The Triangle Midsegment Theorem Warm UpPass
5 4 The Triangle Midsegment Theorem Objective Prove5 4 The Triangle Midsegment Theorem Objective Prove
5 4 The Triangle Midsegment Theorem Objective Use5 4 The Triangle Midsegment Theorem Objective Use
Chapter 5 5 4 THE TRIANGLE MIDSEGMENT THEOREMChapter 5 5 4 THE TRIANGLE MIDSEGMENT THEOREM