1. Geometry Exam Review

2. Know the three triangle similarity Postulates and Theorems
SAS, SSS, AA
Are these triangles similar? Why or why not?

3. Find the area and circumference of a circle in terms of pi

4. Know and apply special right triangles
Find x and y and leave in simplest radical form. y
12sqrt3 x

5. Find the volumes and surface areas of 3D shapes

6. Find the volume and surface area of a cylinder, cone, and/or sphere

7. Scale factors: -be able to graph an image after a dilation -Be able to describe the dilation

8. Describe vectors as ordered pairs

9. Know the angle bisector theorem. Solve for x.

10. Find the area of a parallelogram

11. Find the area of the triangle

12. Find the lateral area of a prism

13. Find the area of the triangle:

14. Find the vector that describes each translation. a. B → D b. E → C

15. The dotted triangle is a dilation image of the solid triangle
The dotted triangle is a dilation image of the solid triangle. What is the scale factor?

16. Name the translation image of ΔOPQ after a reflection over line t and then a reflection over line s.

17. Find the lateral area and surface area

18. Find the value of x to the nearest degree

19. PQ is parallel to BC. Find x.

20. Find the value of x

21. Write the ratio for cos x

22. To find the height of a tall tree, a surveyor moves 140 feet away from the base of the tree and then, with a transit 4 feet tall, measures the angle of elevation to the top of the tree to be 53°. What is the height of the tree? Round your answer to the nearest foot.

23. A boat in calm seas travels in a straight line and ends the trip 16 km west and 50 km north of its original position. Find the direction of the trip to the nearest tenth of a degree.

24. Name a minor arc and find its measure
Name a minor arc and find its measure. If the radius = 6cm, find the length of the arc.

25. If a dart hits the target at random, what it the probability that it will land in the unshaded region?

26. JK, KL, and JL are all tangent to circle O
JK, KL, and JL are all tangent to circle O. JA = 3, JL = 7, and the perimeter of ΔJKL = 26. What are JK and KL? (The diagram is not to scale.)

27. Point O is the center of the circle. What is the value of x
Point O is the center of the circle. What is the value of x? (Assume that lines that appear to be tangent are tangent.)

28. CD = 60, OM = 18, and ON = 15. Find FN.

29. Find the measure of ∠BAC.

30. Write an equation of a circle that has center C(-2, -5) and radius 8.