Question

1. Write a paragraph proof for the following conjecture.
Given: QS bisects ∠PQR.

m∠PQS = 45°
.
Prove: []PQR is a right triangle.

answer:

PLEASE HELP!!!!!!!!!!!

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).


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