Geometry. Copy each word and write the definition from your notes, not the book.

Transcription

1 Exam Review Name: Geometry 1 st Semester Period: Vocabulary Copy each word and write the definition from your notes, not the book. Chapter 1: Segments Point Line Ray Plane Segment Opposite rays Collinear Coplanar Intersection Midpoint Segment bisector Congruent Chapter 1: Angles Acute Right Obtuse Straight Adjacent angles Vertical angles Linear pair Complementary Supplementary Angle bisector Chapter 2 Inductive reasoning Conjecture Counterexample Substitution Reflexive Symmetric Conditional statement Converse Add, subtract, mult, div prop of equality Transitive Law of Detachment Law of Syllogism Chapter 3 Skew Lines Parallel Planes Parallel Lines Transversal Corresponding angles Alternate interior angles Alternate exterior angles Consecutive (same-side int) angles Slope of Parallel lines Slope of perpendicular lines Chapter 4 SSS SAS ASA AAS HL CPCTC Chapter 5 Midsegment Perpendicular bisector Altitude Median Concurrent lines Circumcenter Incenter Centroid Orthocenter Chapter9 Transformation Translation Reflection Rotation Dilation Pre Image Image Rigid Motion/Isometry Scale Factor Composition Glide reflection

2 Application 7. What are two other names for 1? 1. Name 3 colinear points and 4 coplanar points. 8. Find the measure of and classify. 2. If PQ = 7 and QR = 10, then PR =. 3. Find the coordinates of the midpoint of AB A(14, 2), B(7, 8) 4. Find the distance between the pair of points. A(6, 7), B( 1, 7) 9. FXG 5. Find the perimeter and area of the figure. 10. If m RZT = 110, m RZS = 3s, and m TZS = 8s, what are m RZS and m TZS? 6. Find the circumference and area of the circle. 11. bisects PQR. Solve for x and find m PQR. m PQS = 3x; m SQR = 5x 20

3 12. Provide a counter example to show the conjecture is false. All prime numbers are odd integers. 13. Underline the hypothesis, and box in the conclusion. Then write the converse. If the sidewalks are wet, then it has been raining. 14. Determine if the conditional is true or false. If it is false, give a counterexample. If an animal barks, then it is a seal. 15. If the conditional and its converse are both true, then write it as a biconditional. If the converse is false, explain why. If the temperature outside is below freezing, then ice can form on the sidewalks. For 17-19, Use the Law of Detachment and the Law of Syllogism to make conclusions from the following statements, or write, no conclusion. 17. If a triangle is a right triangle, then the triangle has one 90º angle. ABC is a right triangle. 18. To take Calculus, you must first take Algebra 2. To take Algebra 2, you must first take Algebra If cats prowl, mice will scatter. Mice are scattering. For 20-21, Name the property that justifies going from the first statement to the second statement Given p: Bob walks and q: dogs play, then write the following conditionals as symbolic notation, or vice-versa. 22. Use the diagram to name a plane. If Bob walks, then dogs don t play. If dogs play, then Bob doesn t walk 23. Use the diagram to name all the lines that are parallel to TSXY.

4 Determine if the numbered angles are alternate interior, alternate exterior, corresponding or same-side interior. 31. Use the graph to decide if the lines are parallel, perpendicular or neither Write an equation of a line that is Find perpendicular to the given line that goes through point D. D(6, 2); y = 3x + 5 For 33-34, Can the triangles be proven congruent? State which method or write not enough information Which line segments are parallel? Explain Write an equation of a line that passes ( 2, 0) and (3, 10). 35. Find the m 1.

5 36. Find x and y. 42. In ABC, X is the centroid If CW = 15, find CX and XW. 37. Find m 1 and m List the angles of each triangle in order from smallest to largest. For 38-39, D is the midpoint of. E is the midpoint of. 44. Can a triangle have sides with the given lengths? 3 m, 11 m, 7 m 45. Identify the transformation. 38. If DE = 23, find AC. 39. If AC = 83, find DE. 40. Name the 4 centers of a triangle, the types of lines that create them, as well as the attributes of each line (midpoint, perpendicular, etc ). 46. Write a rule for the transformation shown. 41. Solve for x.

6 For 47-49, Graph the image of ABC with the given transformation. 50. Graph the image of ABC after the dilation D 3 (ABC). 47. R y-axis (ABC) 48. r ( 90 o, O) (ABC) 51. Graph the images of ABC after the given composition of transformations. 49. T < - 3, - 2 > (ABC)