Find the Next Two Terms in Each Sequence
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Geometry 2016 Name ______1st Nine Weeks Review Date ______Hr ______
1. Jeff, Kim, Hans, and Lou each have a different pet: a dog, a 11. bisects ABC . Find m ABD . turtle, a parrot, and a snake. Jeff is teaching his pet to speak. BD Kim’s pet has four legs. Hans’ pet has no legs. Lou’s pet has more legs than Jeff’s pet but no fur. Who owns the dog?
Use the figure to answer Exercises 2–7.
Find the midpoint and length (to the nearest tenth) of the segment with given endpoints.
12. A(5, -1), B(3, 2)
13. J(-2, 7), K(4, 9) 2. Name a point coplanar to points B, C and G.
3. Name the intersection of plane ABCD and plane CDGH. 14. The coordinates of the midpoint M of DG are (5, 6).The s s coordinates of D are (1, -6). Find the coordinates of the other 4. Name the intersection of EH and GH endpoint G. s 5. Name a line parallel to CG . Write the converse, inverse, and contrapositive of the s 6. Name two lines skew to BC . following statement. 15. If a polygon is a pentagon, then it has five sides. s 7. Name a line that appears to be perpendicular to AE . Converse –
Inverse – 8. PQ = 57. Use the figure to find each of the following.
Contrapositive –
a. x b. PL c. LQ For Exercises 16–17, name the property that justifies each statement.
16. AB = AB
17. If AB = CD and CD = EF, then AB = EF. 9. Show that the conjecture below is false by finding a counterexample: For Exercises 18-19, find the value of the variable in each If two lines are in the same plane, then they are parallel. diagram. 18.
10. Name a pair of opposite rays.
19. Page 1 of 2 Geometry 2016 Name ______1st Nine Weeks Review Date ______Hr ______
For Exercises 20-21, use deductive reasoning to draw any 28. Write the equation of the line that passes through the point possible conclusions. Write not possible if you cannot draw (2, 3) and is parallel to any conclusions. (Syllogism or Detachment?) 1 y x 6 . 20. If today is Friday, then we don’t have school tomorrow. 2 If we don’t have school tomorrow, then I can stay out late.
21. All good tennis players are quick. Martina is a good tennis player. 29. Write the equation of the line that passes through the point (-3, -5) and is perpendicular to the line y 3x 4 . 22. Rewrite the following bi-conditional as two conditionals: A quadrilateral is a parallelogram if and only if it has two pairs of opposite sides that are parallel. s 30. Find the slope of AB given A(-3, 4) and B(5, 4).
23. Find the measure of S BCE when m is parallel to n. 1 31. Graph the equation y= x - 2 3
24. Find the measure of S FBC when m is parallel to n.
32. Determine if the following lines are parallel, perpendicular, or neither.
5 a. y= - x -8 3 5x+ 3 y = 7 For exercises 25-26, classify the polygon by its sides. Is it convex or concave? b. 3y+ 2 x = 6 3 25. 26. y= x - 4 2
33. Find the value of x in the triangle.
27. What is the slope of the line x = 2? What type of line is it?
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