* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Name________________________________
Survey
Document related concepts
Lie sphere geometry wikipedia , lookup
Plane of rotation wikipedia , lookup
Projective plane wikipedia , lookup
Cartesian coordinate system wikipedia , lookup
Pythagorean theorem wikipedia , lookup
History of trigonometry wikipedia , lookup
Perceived visual angle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Multilateration wikipedia , lookup
Duality (projective geometry) wikipedia , lookup
Compass-and-straightedge construction wikipedia , lookup
Trigonometric functions wikipedia , lookup
Line (geometry) wikipedia , lookup
Transcript
Name________________________________ Date______________________ Period______ Geometry Honors Unit 1 Test Review Part 1: Use the figure at the right to answer Exercises 1-5. 1. What is another name for line m? R X 2. Name the intersection of planes A and B. Y 3. Is Plane TUV another name for plane B? Why or why not? T S Z 5. Explain why this statement is false: Y and T are noncollinear. Part 2: Complete each exercise. R 6. Find the value of x if RS bisects AB and RS = 36. 18 25 A 2y – 5 3x T B 2y 6 S 7. Find m∠RST if ST bisects RSU and SU bisects TSV. R (x + 2y S 1) T (6x 9) (2y + 5) V 8. Given AB with midpoint M(1, 2) and endpoint A(3, -3), determine the coordinates of B. 9. Find m1 if 1 is complementary to 2, 2 is supplementary to 3, and m3 = 126˚. ℬ V m 𝒜 4. Are line m and point Y coplanar? Why or why not? U U 10. In DEF, find the length of DF . Show all work and give exact answers. D E F length: __________ 11. ABC and CBD form a linear pair. Which three points A, B, C, or D, are collinear? Part 3: Multiple Choice. Circle the correct answer. 12. Find PQ if the endpoints of PQ are P(2, 5) and Q(-2, 2). A) 5 B) 7 C) 9 D) 25 For Exercises 13-14, use the figure at the right. Note: A, B, and F are noncollinear. 13. Classify EBF. A) acute angle E B) right angle C) obtuse angle D) straight angle F C 50 B 14. Which statements are true? Circle all that apply. A) mCBA = 50o B) mEBF = 40o D A C) mABD = 100o D) mCBF = 130o For Exercises 15-17, use the figure at the right. Note: R, S, and U are collinear. T, S, and X are collinear. 15. Which pair of angles are congruent angles? A) RST, TSU B) TSU, USV T C) RSX, TSU D) RSX, XSW U S R X 16. Which angle is supplementary to USV? A) TSU B) VSW C) RSV W V D) WSR 17. Which pair of angles are adjacent angles? Circle all that apply. A) RSX, RSW B) XSW, WSV C) RST, TSU D) RSV, USV For Exercise 18, use the figure at the right. 18. Find mABC if FBD and DBE are complementary and mDBE is three less than half of mFBD. A) 62o B) 31o C A C) 28o F B D) 90o E D Part 4: Use the statements below to complete Exercises 19-22. s: Two angles are congruent. t: Two angles are right angles. 19. Write the conditional statement t s: ___________________________________________________________________________________________ 20. Write the converse of the statement in Exercise 19: ___________________________________________________________________________________________ 21. Write the biconditional of the statement in Exercise 19: ___________________________________________________________________________________________ 22. Which statements above (#19-21) are false? Explain. ___________________________________________________________________________________________ ___________________________________________________________________________________________ Part 5: Complete the postulate/theorem with the correct word or phrase. 23. If two __________ intersect, then their intersection is a line. 24. If two lines intersect, then their intersection is _________________________________. 25. If two points lie in a plane, then the line containing them _________________________. 26. Two points ______________ a line. 27. A plane contains at least ___________________________________________________. 28. If two congruent angles form a linear pair, then they are __________________________. Part 6: Decide if the statement is always, sometimes, or never true. 29. ____________ If M is the midpoint of AB, then any segment containing M is a bisector of AB. 30. ____________ If two angles are complementary, then they are adjacent. 31. ____________ If two angles are vertical angles, then they are complementary. 32. ____________ If two planes intersect, then they intersect at a point. Part 7: For Exercises 33-35, use the statement below. “Changing lanes without a blinker could cause an accident.” 33. Write the statement in if-then form: _______________________________________________________________ ___________________________________________________________________________________________ 34. What is the hypothesis? ________________________________________________________________________ 35. What is the conclusion? ________________________________________________________________________ Part 8: Provide a counterexample that shows the conjecture is false. 36. Conjecture: If two angles are supplementary, then one angle is obtuse.