91Ó°ÊÓ

Draw a large obtuse triangle. Construct the circumscribed circle.

Draw a large acute triangle. Construct the inscribed circle.

Begin each exercise with a square \(A B C D\) that has sides \(4 \mathrm{cm}\) long. Draw a diagram showing the locus of points on or inside the square that satisfy the given conditions. Then write a description of the locus. Equidistant from \(\overline{A B}\) and \(\overline{B C}\)

Draw a large obtuse triangle. Construct the inscribed circle.

Deal with figures in space. Given points \(C\) and \(D,\) what is the locus of points equidistant from \(C\) and \(D ?\)

Draw a circle. Circumscribe a square about the circle.

Draw a segment \(\overline{A B}\). Construct a segment \(\overline{X Y}\) whose length equals \(\frac{3}{4} A B\).

Deal with figures in a plane. (Note: If a point in a segment or in an arc is not included in the locus, indicate the point by an open dot.) Draw a segment \(\overline{A B}\). Construct the locus of points \(P\) such that \(\angle A P B\) is a right angle.

a. Draw any acute triangle. Bisect each of the three angles. b. Draw any obtuse triangle. Bisect each of the three angles. c. What do you notice about the points of intersection of the bisectors in parts (a) and (b)?

Construct three congruent circles, each tangent to the other two circles. Then construct an equilateral triangle, each side of which is tangent to two of the circles.