91Ó°ÊÓ

Given scalene \(\triangle\) DEF, explain how to find the locus of points equidistant from \(\overline{\mathrm{DE}}, \mathrm{EF},\) and \(\overline{\mathrm{DF}}\).

Construct an isosceles right triangle, given a A leg b The hypotenuse

Given \(\overline{\mathrm{AB}}\), with point \(\mathrm{C}\) between \(\mathrm{A}\) and \(\mathrm{B}\), construct a segment whose length is the mean proportional between \(\mathrm{AC}\) and \(\mathrm{BC}\).

How many points are equidistant from two given parallel lines and equidistant from two fixed points on one of those lines?

Draw a sketch and write a description of each locus. The locus of points equidistant from two given points

Draw an acute angle \(A B C\) and an obtuse angle \(W X Y\). a Construct \(\angle \mathrm{FGH}\) congruent to \(\angle \mathrm{WXY}\). b Construct the complement of \(\angle \mathrm{ABC}\). c Construct the supplement of \(\angle \mathrm{WXY}\). d Construct an angle whose measure is the difference of \(\angle \mathrm{WXY}\) and \(\angle \mathrm{ABC}\). e Construct an angle whose measure is double that of \(\angle \mathrm{ABC}\).

Given a regular hexagon, find the locus of points that are a given distance from its center and lie on the vertices of the hexagon.

Draw a sketch and write a description of each locus. The locus of points occupied by the center of a dime as it rolls around the edge of a quarter

Construct a triangle equal in area to a given square.

Construct the following angles. a \(90^{\circ}\) b \(45^{\circ}\) c \(60^{\circ}\) d \(75^{\circ}\)