Question

triangle proofs
statements reasons
pn is a perpendicular bisector of ln given
1 definition of bisector
2 definition of perpendicular
3 reflexive property
4 sas
complete the proof above by ordering the statements below.
show your thinking
a b c

Explanation:

Step1: Recall bisector property

$PL = PN$ (Definition of bisector)

Step2: Recall perpendicular property

$\angle{PLQ}=\angle{PNQ}=90^{\circ}$ (Definition of perpendicular)

Step3: Identify common side

$PQ = PQ$ (Reflexive Property)

Step4: Apply SAS

$\triangle{PLQ}\cong\triangle{PNQ}$ (SAS)

Answer:

1. $PL = PN$; 2. $\angle{PLQ}=\angle{PNQ}=90^{\circ}$; 3. $PQ = PQ$; 4. $\triangle{PLQ}\cong\triangle{PNQ}$