Prove: Angle QPR is congruent to angle SPT?

Question

Given: -Ray PR bisects angle QPS
-Ray PS bisects angle RPT

Prove: Angle QPR is congruent to angle SPT

Answer 1

∠QPR ≡ ∠RPS, since PR bisects QPS
∠RPS ≡ ∠SPT, since PS bisects RPT
∴∠QPR ≡ ∠SPT, by transitivity of congruence

Answer 2

angle QPR is congruent to RPS - because PR bisects QPS..definition of bisecting
angle SPT is congruent to RPS - because PS bisects RPT
angle QPR is congrouent to SPT - transitive property

Answer 3

I tremendously much hate to wade into this question, even nevertheless it oftentimes relies upon on what makes up the applicable perspective. In geometry, the perspective itself is made out of rays which eminate from a element with a restraining supplies (ie the rays are at perfect angles). to apply the applicable perspective, we ought to evaluate in easy terms line segments which provides one the prospect to evaluate flipping. the applicable perspective will now "seem diverse" even nevertheless that's my opinion that the restrict (using in easy terms line segments), is a restrict of the specific subject you're coping with and not a supplies of the applicable perspective itself. If we are talking approximately rays, flipping would not make any distinction i do no longer think of. a minimum of to no longer my engineering like ideas.

Answer 4

QPR=RPS
RPS=SPT
thus SPT=QPR

Answer 5

You need to give a diagram or a picture. Nonetheless this is an extremely easy problem and you should be able to do it on your own.

Answer 6

Aren 't you supposed to do your OWN homework? ;-)