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GEOMETRY 21: Review for Final Exam
Units 1, 2, 3 (First Semester) Unit 1 - Modeling with Geometry and Definitions (Chapter 1) Unit 2 - Rigid Motions (Chapter 9) $\qquad$ Per. 1,2,4,7.8 Unit 3 - Geometric Relationships and Properties (Chapters 2, 3, 4, 5, 6 ) True or False 1) $\qquad$ Any 2 lines always intersect at one point. 2) $\qquad$ Through any 2 points there is exactly one plane. 3) $\qquad$ Any 3 points are always coplanar. 4) $\qquad$ If $\overline{A B}$ bisects $\overline{C D}$ at point $E$, then $A E=E B$.
Use the diagram at right for questions \#5-9. 5) If \Varangle 2 is a right angle and $m \not 4=4 x+10$ degrees, and $m \leqslant 6=8 x-4$ degrees, find $x$ and m $\leqslant 3$. $x=$ $\qquad$ $\mathrm{m} 43=$ $\qquad$ 6) If $m \nless 6=y$, then write an expression for the m\&BGF. $\qquad$ 7) If the $\mathrm{m} \times 5=90^{\circ}$, then name 2 angles that are the complements of $\nless 4$. $\qquad$ and $\qquad$ 8) If $m \neq 5=90^{\circ}$, name 2 angles that are supplementary, but do not form a linear pair. $\qquad$ and $\qquad$ 9) $\overline{H J} \perp \overline{F C}$ and $\overline{A D} \perp \overline{F C}$, then $\overline{A D}$ $\qquad$ HJ
For $\# 10-12$, identify the type of transformation (translation, reflection, rotation). 10) 11) 12)
For \#13-16, use the following statement: "Linear pairs are supplementary, adjacent angles." 13) Rewrite the statement as a conditional. 14) Write the converse of the conditional. 15) Write the statement as a biconditional. 16) Is the statement a definition? Explain your reasoning.