Perpendicular Bisector Objective: Test Review. Test Chapter 5 Review 1. Vocabulary Median Altitude (height) Perpendicular Bisector Angle Bisector D Midpoint

Point where 3 altitudes intersect 2. Vocabulary Altitudes (heights) Orthocenter Point where 3 altitudes intersect Segment from vertex  to Opposite side. The orthocenter is always Inside the triangle.

Point where 3 medians intersect 3. Vocabulary Centroid Point where 3 medians intersect Median Segment from vertex To opposite sides midpoint The centroid is always Inside the triangle.

Point where 3 perpendicular bisectors intersect 4. Vocabulary Circumcenter Point where 3 perpendicular bisectors intersect Perpendicular Bisector The circumcenter can be Inside, outside or on The triangle Segment  to and Through a midpoint Of a side of a triangle.

Point where 3 angle bisectors intersect 5. Vocabulary Incenter Point where 3 angle bisectors intersect Angle Bisector The incenter is always Inside the triangle. Segment that bisects an angle.

6. Complete each blank with sometimes, always, or never. If P is the circumcenter of RST, then PR, PS, and PT are ____________ equal. always b. If BD bisect angle ABC, then AD and CD are _______________ congruent. sometimes c. The incenter of a triangle ______________ lies outside the triangle. never d. The length of a median of a triangle is ______________ equal to the length of a midsegment. sometimes e. If AM is the altitude to side BC of ABC, then AM is _____________ shorter than AB. always

8. Point H is the ___________ of the triangle. C 7. Find each length. a. HC b. HB d. BC c. HE E F H 9.9 6 8. Point H is the ___________ of the triangle. A G B 8 9. CG is a(n) ____________, ____________, _____________ and _______________ of ABC. 10. EF = _______ and EF // _______ by the __________ Thm.