2. Geometry Final Exam Review Mr. Belanger

3. Problem #1 Ch.8 Right Triangles What is the Pythagorean Theorem? Apply it to this problem.. 64 + 169 Q= 15.3

4. Problem #2 Ch. 8 Right Triangles What are the three trigonometry ratios we learned??? SIN = COS= TAN= Hypotenuse Opposite Adjacent 

5. Problem #3 Ch. 8 Right Triangles X=5 Y=8.7 x X=36.9 C=9.9

6. Problem #4 Ch. 9 Transformations Another name? Translation or slide Beginning/End Shapes Pre-image/image Properties?? Congruent angles and sides

7. Problem #5 Ch. 9 Transformations Mirror Line Properties??? A A’ Shapes are congruent Orientation is reversed Points are equidistant from mirror line B B’ Cross at 90 degrees Reflection

8. Problem #6 Ch. 9 Transformations Rotation Rotation and Reflection Reflection Rotation and point Name the type(s) of symmetry for each…

9. Problem #7 Transformations What is a dilation? Size change with shapes reduction/enlargement Properties? Angles don’t change Sides are proportional Shapes are similar New coordinates found by multiplying

10. Problem #8 Ch. 10 Area Parallelogram/Rectangle/Square Triangle Trapezoid Kite/Rhombus Know the area formulas for… Base X Height

11. Problem #9 Ch. 10 Area Circle (area) (circumference) Polygon SAS Triangle Area

12. Problem #10 Ch. 10 Area Find the Area of each shape below…

13. Problem #11 Ch. 10 Area Find the Area of each shape below… 12 cm

14. Problem #12 Ch. 11 Surface Area and Volume a b c d e f g h Name one of each… Vertex- Edge- Lateral Face- Base- a ab dcgh abcd Name the shape- Rectangular prism

15. Problem #13 Ch. 11 Surface Area and Volume What is lateral area??? Area of all lateral sides (walls) added together What is surface area??? Area of all faces added together What is volume??? How much space is inside an object

16. Problem #14 Ch. 11 Surface Area and Volume Find the LA, SA and Volume of prism below. LA = F B L R 20 30 LA =100 cm squared SA = LA + 2 bases SA = 100 + 24 + 24 = 148 cm squared Volume = Area of base x height. Vol = 4 x 6 x 5 = 120 cm cubed

17. Problem #15 Ch. 11 Surface Area and Volume Find the LA, SA and Volume of prism below. 10 in 3 in LA = Label of can (circumference x height) Volume = area of base x height

18. Problem #16 Ch. 11 Surface Area and Volume Find the LA, SA and Volume of pyramid below. 5 in 12 13 slant height LA = area of four triangles added together SA = LA + one base SA = 130 + 25 = 155 in sq. Vol = 100 in cubed

19. Problem #17 Ch. 12 Circle Properties If line YK is tangent to the circle, find its length. X= 21.8

20. Problem #18 Ch. 12 Circle Properties 56 90 + 90 + 56 + O = 360

21. Problem #19 Ch. 12 Circle Properties -Chords are segments! -Diameter is a chord that passes through center -Secant is a line! -Tangent is a line that touches the circle at one point perpendicular to the radius. Tangent

22. Problem #20 Ch. 12 Circle Properties 78 Angles are half the size of their intercepted arc APB = 39

23. Problem #21 Ch. 12 Circle Properties Know all your secant properties… 1 2 1 2

24. Problem #22 Ch. 12 Circle Properties a b c d Inside segment 4. Outside segment 5. Secant-tangent

25. Problem #23 Ch. 12 Circle Properties 8 2 7 x

26. Study your old tests and quizzes! Ch. 8-12