Unit 5 Part 1

1. Unit 5 Part 1 Perpendicular Bisector, Median and Altitude of Triangles

2. Midpoint of a segment

3. Perpendicular Bisector • Any point on the perpendicular bisector of a line segment is equidistance from the endpoints of the segment.

4. Perpendicular Bisector of a Triangle. • The perpendicular bisector of a triangle is formed by constructing perpendicular bisectors of each side of the triangle. • GeoGebra File Perpendicular bisector Circumscribed circle

5. Median of a Triangle • The median of a triangle is the line segment from a vertex to the midpoint of the opposite side of that vertex. • GeoGebra File

6. Altitude of a Triangle Altitude also known as the height.

7. Angle Bisector • Any point on the angle bisector is equidistance from the sides of the angle.

8. Solve for ‘x’. 3x – 10 = 2x +18 - 2x - 2x 3x – 10 x – 10 = 18 +10 + 10 x = 28 x 2x + 18

9. Angle bisector of a triangle. • GeoGebra File Angle bisector Inscribed circle

10. Draw • AB is a median of ∆BOC • RA is the altitude and median of ∆RST • AE and CD are ∠ bisectors of ∆ACB and intersect at “x”. • FS and AV are altitudes of ∆FAT and intersect outside the triangle.

11. Altitude Median • SM is an _______________ of ∆RSE. • If SN = NE, then RN is a _____________ of ∆RSE. • If ∠SNL is congruent to ∠LER, then LE is an ____________________ of ∆RSE. • SN = NE, therefore NT is a ___________________ of ∆RSE Angle Bisector Perpendicular Bisector S N L E M R T