As part of constructing an isosceles triangle, Gail drew a line segment and plotted one vertex of the triangle on the line segment. With this vertex as the center, Gail drew an arc to create a 180 degree angle. How can Gail ensure that the two other points she plots will be the remaining two vertices of an isosceles triangle?

Construct a perpendicular line and plot one point on the perpendicular line and the other inside the arc.

Plot both the points on the arc.

Plot both the points on the line segment.

Plot one point on the arc and the other beyond the arc.

C?

Question

As part of constructing an isosceles triangle, Gail drew a line segment and plotted one vertex of the triangle on the line segment. With this vertex as the center, Gail drew an arc to create a 180 degree angle. How can Gail ensure that the two other points she plots will be the remaining two vertices of an isosceles triangle? 

Construct a perpendicular line and plot one point on the perpendicular line and the other inside the arc.

Plot both the points on the arc.

Plot both the points on the line segment.

Plot one point on the arc and the other beyond the arc. 


C?

anonymous · Answer

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anonymous · Answer

here AC is one radius of the semi circle i drew, and CD will be the perpendicular....

anonymous · Answer

wait... I'm confused, could you explain more please?

anonymous · Answer

Actually, the answer is just to plot the two other points on the arc.

anonymous · Answer

why? could you explain please?

anonymous · Answer

That way, with the first point as the vertex, the 2 sides the vertex will form with each point on the arc will be equal.  That was the point of the arc, every point on the arc is equi-distant from the vertex.

anonymous · Answer

Thank you :D

anonymous · Answer

You're welcome.