http://www.ck12.org Chapter 4. Triangles and Congruence
14.
For questions 11-15, use the picture to the right and the given information below.
Given:DB⊥AC,DBis the angle bisector of^6 CDA
- FromDB⊥AC, which angles are congruent and why?
- BecauseDBis the angle bisector of^6 CDA, what two angles are congruent?
- From looking at the picture, what additional piece of information are you given? Is this enough to prove the
two triangles are congruent? - Write a 2-column proof to prove 4 CDB∼= 4 ADB.
- What would be your reason for^6 C∼=^6 A?
For questions 16-20, use the picture to the right and the given information.
Given:LP||NO,LP∼=NO
- FromLP||NO, which angles are congruent and why?
- From looking at the picture, what additional piece of information can you conclude?
- Write a 2-column proof to prove 4 LMP∼= 4 OMN.
- What would be your reason forLM∼=MO?
- Fill in the blanks for the proof below. Use the given and the picture from above.Prove:Mis the midpoint of
PN
TABLE4.16:
Statement Reason
1.LP||NO,LP∼=NO Given