91Ó°ÊÓ

If possible, draw a triangle whose sides measure: a) \(7,7,\) and 14 b) \(6,7,\) and 14 c) \(6,7,\) and 8

Use only the given information to state the reason why \(\triangle A B C \cong \triangle D B C .\) Redraw the figure and use marks like those used in Exercises 9 to 12 . $$\angle A \cong \angle D, \overline{A C} \cong \overline{C D}, \text { and } \overrightarrow{C B} \text { bisects } \angle A C D$$

Construct angles having the given measures. $$90^{\circ} and\quad then 45^{\circ}$$

Describe the triangle \((\triangle X Y Z,\) not shown) as scalene, isosceles, or equilateral. Also, is the triangle acute, right, or obtuse? $$\mathrm{m} \angle X=43^{\circ} \text { and } \mathrm{m} \angle Y=47^{\circ}$$

Describe the triangle \((\triangle X Y Z,\) not shown) as scalene, isosceles, or equilateral. Also, is the triangle acute, right, or obtuse? $$\mathrm{m} \angle X=60^{\circ} \text { and } \angle Y \cong \angle Z$$

Construct angles having the given measures. $$60^{\circ} and\quad then 30^{\circ}$$

Use only the given information to state the reason why \(\triangle A B C \cong \triangle D B C .\) Redraw the figure and use marks like those used in Exercises 9 to 12 . $$\overline{A C} \cong \overline{C D}, \overline{A B} \cong \overline{B D}, \text { and } \overline{C B} \cong \overline{C B} \text { (by Identity) }$$

Construct angles having the given measures. $$45^{\circ} and\quad then 105^{\circ}$$

Describe the triangle \((\triangle X Y Z,\) not shown) as scalene, isosceles, or equilateral. Also, is the triangle acute, right, or obtuse? $$\mathrm{m} \angle X=70^{\circ} \text { and } \mathrm{m} \angle Y=40^{\circ}$$

Describe how you would construct an angle measuring \(22.5^{\circ}\)