Question

Misha wants to construct an isosceles triangle which is not an equilateral triangle using a straightedge and compass. Which of these steps is part of constructing an isosceles triangle?

constructing arcs above and below the first line segment

constructing a parallel line

constructing a perpendicular line

constructing a 180 degree angle arc

Answer 1

you wont need the arcs as it is construction and your ruler can already give you the straight line
you do not need a parallel line

the perpendicular line is constructed on the line as a perpendicular bisector
as the length at each segment and the perpendicular bisector is the same height, using pythagoras' theorem, you know that the slants are equal. It would never be equiletral when you draw the lines as there is already a 90 degree right angle.

Answer 2

Thank you so much!!!!! (:

Answer 3

confused