![]() We can move point G and observe that the triangle remains an isosceles triangle. Therefore we can conclude that triangle KLG is an isosceles triangles. We can use the angle measure tool to see that and have equal measure and that segments GK and GL have equal length. We then use the segment tool to construct lines KL, LG, and GK. The point of intersection between the perpendicular line and ray GH is labeled K and the point of intersection between the perpendicular line and ray GI is labeled L. Next we construct a line perpendicular to the angle bisector and through point J. Using the point tool we constructed point J that lies on the angle bisector. Lastly we can construct an isosceles triangle using rays. We can observe that if we move point F the triangle remains an isosceles triangle. Therefore triangle DFF' is an isosceles triangle. Also we can see from the distance tool that DF and DF' are equal. Using the angle measure tool we can see that the measures of and are equal. Using the segment tool we construct DF FF' and F'D. Then we will reflect point F over segment DE to form F'. Construct segment DE and point F not on DE. We can also construct a isosceles triangle with a segment. We can move point C anywhere along the circle and the triangle is still an isosceles triangle. ![]() When we measure the angles measures and the side lengths of the triangle and see that the measures of and are equal and CA and AB are equal. ![]() Then using the segment tool we can construct segments AB, BC, CA to form triangle ABC. Then we also construct radius AC with C being a point anywhere on the circle. Then we construct the radius AB using the segment tool. First we construct circle A using the circle tool. For a triangle to be isosceles it has two sides of equal lengths and two angles of equal measure. I found three different ways to construct isosceles triangles. carotid triangle, inferior that between the median line of the neck in front, the sternocleidomastoid muscle, and the anterior belly of the omohyoid muscle.
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