sara sketches a circle P with center P and radius PQ and a circle Q with center Q and radius QP. She lábiles one point of intersection as R. Use paper to draw sara’s construction.points p , q and r define a what ?

Respuesta :

Here, we are required to use paper to draw Sara's construction. and determine what the points p, q and r define.

  • Sara's construction sketch is as in the image attached.
  • The points p,q and r define an equilateral triangle with all sides equal to the radius of either of the circles.

According to the question; the first circle Sara sketches has center at point, P and radius PQ.

The statement above means that the point Q is on the circumference of the first circle.

Afterwards, she draws a second circle with center at point Q and radius QP.

And lastly, she labels one point of intersection of both circles as R.

A representation of Sara's construction is attached as an image.

The points p, q and r define a triangle; An equilateral triangle to be specific as all 3 sides of the triangle are equal to the radius of either of the circles.

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