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 3x – 10 = 2x +18 - 2x x – 10 = 18 +10 + 10 x = 28 x

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. S N E L R M 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 T Altitude Median Angle Bisector Perpendicular Bisector