91Ó°ÊÓ

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

Describe how you would construct each of the following:

The altitude of $\mathrm{Δ}ABC$ that contain vertex$A$.

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

Describe how you would construct each of the following:

The perpendicular to $\stackrel{¯}{BC}$at $C$.

The measure of each interior angle of a regular pentagon is ____.

Given: $\stackrel{¯}{RJ}$and $\stackrel{¯}{SK}$are medians of $â–\mu RST;$

$X$and $Y$are the midpoints of $\stackrel{¯}{RG}$ and role="math" localid="1649117030551" $\stackrel{¯}{SG.}$

1. How are $\stackrel{¯}{XY}$ and $\stackrel{¯}{RS}$ related? Why?
2. How are $\stackrel{¯}{KJ}$ and $\stackrel{¯}{RS}$ related? Why?
3. How are $\stackrel{¯}{KJ}$ and $\stackrel{¯}{XY}$ related? Why?
4. What special kind of quadrilateral is $XYJK?$ why?
5. Why does $XG=GJ?$
6. Explain why $RG=\frac{2}{3}RJ.$

$\left(a\right).$Construct a $30°$ angle.

$\left(b\right).$ Construct a $15°$ angle.

$\left(a\right)$

$∠1$ and $∠2$ are given. You see two attempts at constructing an angle whose measure is equal to $m∠1+m∠2.$ Are both constructions satisfactory$?$

Use a ruler and a protractor to draw a regular pentagon. Then construct the perpendicular bisectors to the five sides.

Draw any acute $\mathrm{Δ}ACU$. Use a method based on the $SSS$ postulate to construct a triangle congruent to $\mathrm{Δ}ACU$.