An acute triangle is defined as one in which all angles are acute. An acute angle is defined as having a degree measurement of less than 90. Thus, Charlene's definition is valid.
Response:
∠PQL=∠TRN [Angles corresponding]
Thus, PQ║RS and PQ=RS
Detailed explanation:
The side PQ has been drawn.
A second side QR is traced, forming an acute angle with side PQ.
Now side QR is extended to the left.
Create an arc from point Q such that it intersects QP at M and extends RQ at L. Without altering the compass width (i.e., the distance between the nib and pencil), draw an arc from R to intersect RQ at N. Now measure the distance LM with a compass. Position the compass at N and mark an arc cut from point R. Designate this intersection as T. Draw a line from point R through T. Then measure the length of PQ with the compass. Position your compass at R and create an arc on the produced line RT at S. Thus, we ascertain that PQ║RS and PQ=RS.
This occurs because
∠MQL=∠NRT [corresponding angles, with QR acting as the transversal]
∵PQ║RS and PQ=RS [This identifies PQRS as a parallelogram]
Out of the four students who illustrated their explanations
Student 2 presented a partially correct but valid explanation.
