5.2. Perpendicular Bisectors in Triangles http://www.ck12.org
TABLE5.2:(continued)
Statement Reason
2.Dis the midpoint ofAB- Definition of a midpoint
4.^6 CDAand^6 CDBare right angles
5.^6 CDA∼=^6 CDB - Reflexive PoC
- 4 CDA∼= 4 CDB
8.AC∼=CB
31. Write a two column proof. Given: 4 ABCis a right isosceles triangle andBDis the⊥bisector ofACProve:
4 ABDand 4 CBDare congruent.
32. Write a paragraph explaining why the two smaller triangles in question 31 are also isosceles right triangles.
Review Queue Answers
- Reference Investigation 1-3.
a. 2x+ 3 = 27
2 x= 24
x= 12
b. 3x+ 1 = 19
3 x= 18
x= 6 - 6x− 13 = 2 x+ 11 3 y+ 21 = 90 ◦
4 x= 24 3 y= 69 ◦
x= 6 y= 23 ◦
Yes,mis the perpendicular bisector ofABbecause it is perpendicular toABand passes through the midpoint.