Construct the following loci

Njabs

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A point P that moves equidistant from the vertices A and C.

In this question we have been given an irregular pentagon, ABCDE. Vertex A is opposite to vertex C whilst vertex B is opposite to vertices E and D respectively.
Friends kindly tell me, am I right to assume that since an irregular pentagon cannot either be circumscribed or inscribed, therefore, to solve this problem I will only have to
simply join vertex A and C through a straight line? Kindly assist friends, I really do not know where to start, thank every body!
 
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A point P that moves equidistant from the vertices A and C.

In this question we have been given an irregular pentagon, ABCDE. Vertex A is opposite to vertex C whilst vertex B is opposite to vertices E and D respectively.
Friends kindly tell me, am I right to assume that since an irregular pentagon cannot either be circumscribed or inscribed, therefore, to solve this problem I will only have to
simply join vertex A and C through a straight line? Kindly assist friends, I really do not know where to start, thank every body!

One of the (usual) first locus problems covered is the locus of points which are equidistant from two given points. That locus is the perpendicular bisector of the segment joining the two given points. (You should have proved a theorem that says "Any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment.")
 
Thanks So Much!

One of the (usual) first locus problems covered is the locus of points which are equidistant from two given points. That locus is the perpendicular bisector of the segment joining the two given points. (You should have proved a theorem that says "Any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment.")

Hi Mrspi

Thank you so much. You know initially I thought about that, but was not so sure since we are given a polygon figure not just a line segment. I really appreciate that!
 
, am I right to assume that since an irregular pentagon cannot either be circumscribed [about a circle or inscribed in a circle],
It depends on the irregular pentagon. If you pick any five distinct points on a circle, and connect adjacent pointswith line segments, then you will either have a regular or an irregular pentagon which is inscribed in the circle.
 
Lost

It depends on the irregular pentagon. If you pick any five distinct points on a circle, and connect adjacent pointswith line segments, then you will either have a regular or an irregular pentagon which is inscribed in the circle.

Hi lookagain!

I cannot follow you my friend. In this problem we are asked to construct a line. We have been given a geometric figure which to me looks sort of trapezium, it has five sides. It's unfortunate I cannot copy and paste the problem. I was thinking of either constructing a parallel line through angle copy, or draw a perpendicular line as my other friends have earlier suggested.
 
Ha! Ha!! Ha!!!

Jabber, we could help more (and in easier fashion) if you could post a "diagram"
representing what you're trying to do. Perhaps you could approach someone
who knows how to teach you.
For instance, the path traced by a point moving equidistant from 2 FIXED points
is an ellipse. But in your problem, hard to say...

By the way, does Njabs mean you intend to take your teacher on in a boxing
match, where you will jab him N times, where N > 0 ? ;-)

Would be useful for us to know stuff like if you're a student in High School...

Oh Denis, Denis, you're so funny you know that! For your information, I cannot hurt even a fly! Nick-name from Njabulo, loosely translated, pleasure/happiness. I'm a College student, can you believe it, still at this level there are some stuff I'm struggling with.
 
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