1. given: ∠p ≅ ∠q and rs bisects ∠pqr.
prove: pr≅ qr

supply the missing reason in statement 2 of the proof of the the converse of the isosceles triangle theorem.

begin with isosceles ∆prq with ∠p ≅ ∠q. construct rs, a bisector of ∠prq.

a)definition of angle bisector

b)aas theorem

c)cpctc

d)reflexive property of congruence

Solution:

→In ΔP QR,∠P ≅ ∠Q and RS bisects ∠P QR.

→In ΔP Q R

∠P ≅ ∠Q  ----[Given]

PR=QR ----[If in a triangle ,two angles are equal , Side Opposite to them are equal.]

The other method is ,

Draw , RS ,which is perpendicular bisector of ∠ P R Q.

In ΔP SR and ΔQ SR

∠P ≅ ∠Q

RS is common.

2.∠PRS=∠SRQ→Definition of angle bisector.

→ΔP SR ≅ ΔQ SR-----[A AS]

PR=QR ----[CPCT]

∠PRS=∠SRQ→Definition of angle bisector.

Option A: Definition of angle bisector

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.