Question

1. Write a paragraph proof for the following conjecture.

Answer 1

PQS would be set equal to SQR
PQS equals 45 degrees and QS bisects PQR
so therefore 45+45 would have to equal 90, since half of 90 is 45

Answer 2

QS bisects ∠PQR(given), m∠PQS is 45°(given), ∠PQS ≈ ∠SQR (definition of an angle bisector), m∠SQR is 45° (definition of congruent angles), ∠PQS+∠SQR=90° (addition property) 45°+45°=90° (substitution property), PQR=90°, ∠PQR is a right angle (definition of a right angle), ΔPQR is a right triangle (definition of a right triangle).


This may not be 100% what you're looking for but you can use it as a guideline. :)