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

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s