91Ó°ÊÓ

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $17-24$.

A square with diagonals of length $b\sqrt{2}$

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $23-25$.

An isosceles triangle with a vertex angle of $n°$ and legs of length $d$.

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $17-24$.

A right triangle with hypotenuse of length $a$ and one leg of length $b$

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $23-25$.

An isosceles triangle with a vertex angle of $n°$ and base of length $s$.

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $23-25$.

An parallelogram with an $n°$ angle, longer side of length$s$and longer diagonal of length $d$.

Draw a segment and let its length be $s$. Construct a segment whose length is $s\sqrt{3}$.

On your paper draw figures roughly like the ones shown. Then construct a triangle whose three angles are congruent to $∠1,∠\text{2,}$ and $∠3$, and whose circumscribed circle has radius $r$.

Draw a diagram roughly like the one shown. Without laying your straightedge across any part of the lake, construct more of $\stackrel{→}{RS}$.

Draw three noncollinear points $R,S,$and $T.$ Construct a triangle whose sides have $R,S,$and $T$ as midpoints.

Draw a segment and let its length be $1$.

$\left(a\right).$ Construct a segment of length $\sqrt{5}$.

$\left(b\right).$ Construct a segment of length $\frac{1}{2}+\frac{\sqrt{5}}{2}$, or $\frac{1+\sqrt{5}}{2}$.

$\left(c\right).$ Construct a golden rectangle whose sides are in the ratio $1:\frac{1+\sqrt{5}}{2}$.

$\left(a\right)$