Question

Geometry Help! (the geometry section seems to be dead...)
Check my work please!

Answer 1

Look at the figure below:

Make a two-column proof showing statements and reasons to prove that triangle PRQ is similar to triangle PQS.

Answer 2

My proof:
Statements: Reasons:
Angle PQS ≈ Angle QRS Given
Angle Q ≈ Angle R Definition of Congruent Angles
QR ≈ RQ Reflexive Property
∆PRQ ≈ ∆PQS AAS Theorem

Answer 3

well
Angle PQS ≈ Angle QRS Given # this line
Angle Q ≈ Angle R Definition of Congruent Angles # and this line are the same thing
QR ≈ RQ Reflexive Property # QR and RQ means the same as well
∆PRQ ≈ ∆PQS AAS Theorem # not quite

Answer 4

I was especially wary of the last statement... my other thought was that it's SAS... is it?

Answer 5

but one can say that \(\begin{array}{llll}
\measuredangle PQS=\measuredangle QRS& given\\
\measuredangle QPS = \measuredangle QPR& same\ angle, shared\\
\bigtriangleup PQR = \bigtriangleup QPS&AA
\end{array}\)

Answer 6

That's all you have to say? That simple? Amazing.. o:

Answer 7

ehhe

those two angles are equal on each triangle, thus AA :)

Answer 8

Thank you!!