Student: Instructor: samuel Gross Student: Instructor: samuel Gross Assignment: geo 2 Assignment: geo 2 Date: Course: MATH 100 Date Course: MATH 100 OLWINTER13-Section 2 Time: OLWINTER13-Section 2 Time: Book: Angel: A Survey of Mathematics Book: Angel: A Survey of Mathematics with Applications, 9e with Applications, 9e Fill in the blank. 4. Construct the reflection of rectangle ABCD about line n. Am The act of moving a geometric figure from some starting position to some ending position without altering its shape or size is called an motion. The act of moving a geometric figure from some starting position to some ending position Choose the figure that shows the correct reflection below. rigid OA. OB. Oc. without altering its shape or size is called a(n) translation vector motion. Am Am Am tessellation 2. Fill in the blank. Rectangle ABCD shown to the right has . symmetry about line L. 5. Construct the reflection of triangle ABC about line n. Am B Rectangle ABCD shown below has | rotational symmetry about line L. reflective Choose the figure that shows the correct reflection below. OA. OB. Oc. Am Am 3. Fill in the blank. A pattern consisting of the repeated use of the same geometric figures to entirely cover a plane, leaving no gaps, is called a(n) A pattern consisting of the repeated use of the same geometric figures to entirely cover a tessellation. plane, leaving no gaps, is called a(n) rigid motion. symmetry. Page 1 Page 2Student: Instructor: samuel Gross Assignment: geo 2 Student: Instructor: samuel Gross Assignment: geo 2 Date Course: MATH 100 Date Course: MATH 100 Time: OLWINTER13-Section 2 Time: OLWINTER13-Section 2 Book: Angel: A Survey of Mathematics Book: Angel: A Survey of Mathematics with Applications, 9c with Applications, 9e 8 Construct the translation of the triangle ABC 6. Construct the reflection of circle C about line Am using translation vector v. L. Which of the following graphs shows the correct translation of triangle ABC using translation vector v? Which of the following shows the reflection of circle C about line L? OA. OB. Oc. OA. OB. Oc. OD. Am Am Am 9 . Construct the translation of polygon 7. Construct the reflection of trapezoid ABCD about line m. ABCDEFGH using translation vector w. Choose the figure that shows the correct reflection below. Which of the following graphs shows the correct translation of triangle ABC using translation JA. OB. Oc. vector v? Am Am DA. OB. Oc. OD. Page 3 Page 4Student: Instructor: samuel Gross Assignment: geo 2 Date Course: MATH 100 Time: OLWINTER13-Section 2 Book: Angel: A Survey of Mathematics Student: with Applications, 9e Instructor: samuel Gross Assignment: geo 2 Date: Course: MATH 100 Construct the 90 rotation of square ABCD about point P. Time: OLWINTER13-Section 2 10. Book: Angel: A Survey of Mathematics with Applications, 9e 12. Construct a glide reflection of square ABCD Am using vector w and reflection line L. Choose the correct figure of the rotation below. OA. OB. Oc. Choose the correct graph below. OA. OB. Oc. OD. Am Am Am ALIBI 11. Construct a 180 rotation of triangle ABC about point P. 13. Construct a glide reflection of rectangle Am ABCD using vector v and reflection line L. Which of the following shows the correct rotation of triangle ABC? OA. OB. Oc. Choose the correct graph below. OA. OB. Oc. OD. Am Am Am Am HHAB BALL BA Page 5 Page 6Student: Instructor: samuel Gross Assignment: geo 2 Student: Instructor: samuel Gross Assignment: geo 2 Date: Course: MATH 100 Date: Course: MATH 100 Time: OLWINTER13-Section 2 Time: OLWINTER13-Section 2 Book: Angel: A Survey of Mathematics Book: Angel: A Survey of Mathematics with Applications, 9e with Applications, 9e 14. Use the figure to construct a glide reflection 16. Identify the lines about which the figure has reflective symmetry. of the trapezoid shown, using vector w and reflection line 1. Choose the correct graph below. OA OB. Oc. OD. Am Am Am OA. I, m, n, and o OB. I and n Oc. I only OD. m and o 15. Does the following letter have reflective symmetry about the vertical line through the center of the letter? 17. Identify the lines about which the figure has reflective symmetry. K Does the letter K have reflective symmetry about a vertical line through the center of the letter? O Yes O No OA. 1 and n OB. n only OC. k, I, m, and n OD. k, m, and n Page 7 Page 8Student: Instructor: samuel Gross Assignment: geo 2 Date: Course: MATH 100 Time: OLWINTER13-Section 2 Book: Angel: A Survey of Mathematics with Applications, 9e 18. Identify the lines about which the figure has reflective symmetry. OA. q and s Student: OB. I, S, and t Instructor: samuel Gross Assignment: geo 2 Date: Course: MATH 100 OC. s only Time: OLWINTER 13-Section 2 Book: Angel: A Survey of Mathematics OD. q, r, s, and t with Applications, 9e 20. Fill in the blank. Reflect triangle ABC, shown to the right, about line m. Other than the vertex A concise way to indicate the direction and the distance that a figure is moved during a 19. labels, is the position of triangle A'B'C' identical to the position of triangle on is with a translation ABC? Does triangle ABC have reflective symmetry about line m? A concise way to indicate the direction and the distance that a figure is moved during a vector. Choose the figure of the correct reflection below. OA OB. Oc. translation is with a translation tessellation. Am Am Am symmetry. axis BIC BIO Is the position of triangle A'B'C' identical to the position of triangle ABC other than the vertex labels? O No O Yes Does the given triangle have reflective symmetry about line m? O No O YesFOR PROBLEMS : 2 5 . 23 21 through 25 Discuss Type . 25 of Transformation. E63.lag (498::371) Identify Arkis of Symmetry If Apply 22 24. www.mcescher.com/Gallery/symmetry-bmp/E57.jpg 1/126. Using Brook's Theorem what is the chromatic number of the graph below. 27. How many colors are actually needed to color this graph? Problem 28 Tiger Oryx Eagle Zebra Rhino Giraffe Panda Elephant 28. Use vertex coloring to assign the animals to the minimum number of areas. List your final groupings Suppose a pet store has 10 types of fish. Some of the species naturally are prone to attack each other and therefore cannot be stored in the same tank. In the chart below, an X shows which species are incompatible with each other. Species| 1 | 2 | 3 | 4 | s 7089 10 1 | [x[x[x [ ] 2 [ x ] x [ x [ 3 [x[x x | x [ [x[x 4 [x[x[x X [ ] 5 \\ x [ x [ ] 6 \\ X X [ x [ x 7 \\ [x[x 8 \\ x| [xTx 9 \\ X x [ x| X 10 | % [ x | x 29 Draw a graph that represents the information in this table. 30. What is the maximum number of tanks needed as guaranteed by Brook's Theorem? 31. What is the minimum number of tanks actually needed to keep the fish? 32 Draw a graph to represent this map. 33. Color the above map with the minimum number of colors