Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Multilateration wikipedia , lookup
Perceived visual angle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Line (geometry) wikipedia , lookup
History of trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
M2 Geometry U4 Pre-Assessment (Free Response) 1. Find the missing numbers in the pattern. 3, 7, 11, 15, ___, 23, ____, 31 12. What are the measures of x, y and z? 121° y 2. What is the perimeter of a rhombus ABCD given AB = 15? x z 13. Solve for x. (The diagram is not to scale.) 2x+15 3. Define how to create the following from an original if-then statement. Converse: Inverse: Contrapositive: 4. Find the value of m in the rhombus to the right. 25 - 3x 14. Describe the translation of point P(-3, 10) to point P’ (-5, 12). 15. Complete the statement. The _______ of a trapezoid is the segment that connects the midpoint of its legs. 4m 2m + 10 16. Define complementary and supplementary 5. Line h is a segment bisector of SU. Find the value of m. S U 2m + 4 7m - 6 17. Find the values of a and b. a° b° 59° 63° 18. Find the coordinates of the midpoint of a segment with endpoints (-3,0) & (-7, 4). C 19. Name the sides, longest to shortest. 65° h 6. Use the given information to make a sketch of ∆BIG and CAT.BC;IA, BICA 7. Tell whether the triangles to the right are congruent. DO NOT WRITE ON TEST. 55° 7 A 20. The reason the two triangles below are congruent is: U X 7 8. Tell whether the quadrilateral is a parallelogram. 65° 125° 9. Name two obtuse triangles. 65° A B C D 10. Determine which best describes lines pictured. W V Z Y 21. Following a congruency statement, what reason can be used to state that two angles or sides of the triangles are congruent? 22. Find the slope of the segments of a quadrilateral formed with vertices (3, 10), (7, 10), (5, 3) and (1, 3) to prove it is a parallelogram. 23. Identify the hypothesis of the if-then statement. If it is cold, then I need a coat. 11. Find the value of x. 52° 63° x 60° 24. If a trapezoid is ______, then each pair of base angles is congruent. T 22 25. Find the value of x. 38. The supplement of an angle measures 71°. What is the measure of the angle? 25 x 26. Solve for x. 39. The complement of an angle measures 52°. What is the measure of the angle? 58° 110° 112° 40. What is the approximate distance between opposite corners of a 6 by 8 inch photograph? x° 58° m° 27. Find the value of m. 41. Can 7, 7, and 7 be the lengths of a triangle? 28. Find D. D 127° 29. Find the value of x if an angle of a square measures (3x + 12)°. 30. Ray OF lies in EOG. FOG = 68° and EOF = 31°. What is the measure of EOG? 31. Which type of quadrilaterals have opposite sides congruent? 32. Name three points that are not colinear. 43. Find the measure of the missing angle. 75° 105° 63° ?° 44. A rectangle is a parallelogram with __. 45. List the corresponding angles, 1 2 34 alternate interior angles 5 6 7 8 and consecutive interior angles. A E F 42. Write the if-then statement that follows from the pair of true statements. If I have money, then I will buy a calculator. If I have a calculator, then I will do better on the test. D 33. If two lines intersect to form adjacent congruent angles, then the lines are ___ 34. The graph shows a reflection across the _-axis. 35. Find the value of y. \ 46. If a quadrilateral is a parallelogram, then its opposite angles are ____. 47. The length of segment AD is 36. The length of segment AB is half the length of segment AD. Segment CD is 8 units long. Label the length of AB, BC, CD, AC, and BD. A B C D \ 75 y 48. Find the distance between (4, 2) and (-9, 0). 36. Does the diagram give enough information to show that the triangles are congruent? If so, state the theorem or postulate you would use. 8 49. The two triangles are congruent. Find the missing angle measurement. x 12 5 62° C 8 37. Write the angles from 3.5 greatest to least. (not to scale) A 5 50. Find the measure of a supplement of an angle that measures 67°. 4 T