Westin is comparing the triangles below.
Triangle F G H. Side G H is 4 centimeters, angle G is 117 degrees, and angle H is 27 degrees. Triangle J L K. Side J L is 8 centimeters, angle J is 27 degrees, and angle L is 117 degrees.
He uses the similarity statement Triangle H G F is similar to triangle L J K. Which best describes the accuracy of Westin’s statement?
Accurate. HG and LJ are proportional.
Inaccurate. HG and LJ are not corresponding sides.
Inaccurate. The sides are not proportional. There is no common ratio between the sides.
Inaccurate. The angles in the order listed do not correspond.
The statement is inaccurate. The angles in the statement do not correspond correctly.
Which best describes the relationship between the two triangles below?
Triangle M N L. Angle M is 51 degrees and angle L is 36 degrees. Triangle F H G. Angle F is 51 degrees and angle G is 36 degrees.
Triangle M L N is similar to Triangle F G H because of the third angle theorem, Angle M is congruent to angle F, Angle L is congruent to angle G, and Angle N is congruent to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the third angle is unknown.
Triangle M L N is similar to Triangle F G H because of the angle-angle criterion, Angle M is similar to angle F, Angle L is similar to angle G, and Angle N is similar to angle H.
Triangle M L N may or may not be similar to Triangle F G H because the side lengths are unknown.