CCM2 Unit 1 NC Final Exam Review page 1

Transcription

1 1. What is the image of point after a rotation of 90 in the counterclockwise direction? G E F H C 4. Select the letters that would appear the same after a 180 rotation about the center. I. II. X III. O IV. R. II only. III only C. II and III. II and IV.. C. E. F 5. is the image of. Which of the following rotations could be used to perform this transformation? I. 90 counterclockwise 2. What is the image of ( 2, 3) after a rotation of 90 clockwise?. ( 3, 2). (3, 2) C. (3, 2). ( 2, 3) 3. What is the image of ( 4, 1) after a rotation of 180 clockwise?. ( 1, 4). (1, 4) C. (4, 1). (1, 4) II. 90 clockwise III. 270 clockwise IV. 270 counterclockwise. I only. IV only C. I and II. I and III page 1

2 6. If a point in Quadrant II is reflected in the y-axis, its image will lie in Quadrant.. I. II C. IV. on the y-axis 7. point (3, 5) is reflected over the x-axis. What are the coordinates of the image point?. (3, 0). (5, 3) C. (3, 5). ( 3, 5) 11. What is the image of point after a rotation of 90 in the counterclockwise direction followed by a reflection in the x-axis? G E F H C. C. C. E. H 8. Find P, the image of P( 3, 6), after a reflection across the line y = x.. (6, 3). ( 3, 6) C. (3, 6). (6, 3) 12. What is the image of point (2, 3) after these three transformations? I. a translation 2 units to the left and 5 units up; II. reflection in the x-axis; and 9. If P(3, 4) is reflected on the point (3, 0), what are the coordinates of P, the image of P?. (3, 4). (3, 4) C. ( 3, 4). (4, 3) 10. What are the coordinates of the image of P(3, 4) under a reflection in the y-axis?. ( 4, 3). ( 3, 4) C. (3, 4). ( 3, 4) III. 180 clockwise rotation about the origin G C E F H. C. E C. G. H page 2

3 13. If the trapezoid C is reflected about the dashed line, what are the new coordinates for? 14. What are the coordinates of R, the image of R( 1, 8), after a reflection in the origin?. (8, 1). ( 8, 1) C. ( 1, 8). (1, 8) 15. Which shape, if rotated 90, will coincide with itself? ( Coincide means means there s an exact match between the set of points, or one shape will lay perfectly on top of the other.). (7, 2). (7, 14) C. (15, 2). (15, 14). rectangle. equilateral triangle C. parallelogram. square 16. congruence transformation that includes both a reflection and a translation is called glide symmetry. For example: reflection + translation = glide symmetry Glide symmetry is very common in nature and the visual arts. Which of the following shows glide symmetry? I. II. III.. I only. II only C. II and III only. I, II and III page 3

4 17. The following figure appears in a math workbook. Students are asked to reflect the polygon across the line, then rotate it 90 clockwise. Which figure shows the result of the two transformations?.. C RPGW, with coordinates R( 1, 4), P(7, 4), G(7, 6) and W(1, 9), undergoes the transformations: I. reflection in the y-axis; and II. rotation of 90 clockwise W M N C J K G Z R P L X T V Which of the following is the image figure?. ZC. TJKV C. XTC. TJ page 4

5 19. In the diagram, K and K are congruent. 21. On a coordinate system, a square which lies entirely in quadrant I has a vertex at the origin. nother square, which lies entirely in quadrant III, also has a vertex at the origin. If the squares are congruent, this could be shown with all of the following transformations except. translation. rotation C. reflection. dilation Which of the following is a way of transforming K into K?. a rotation of 180 about the origin. a clockwise rotation of 90 about the point (0, 2) C. a reflection across the x-axis, then a translation down 2 units 22. translation maps J(1, 4) onto K(7, 3). Find the coordinates of the image of L(5, 10) under the same translation.. (11, 3). ( 1, 17) C. (1, 17). ( 1, 17). a reflection across the y-axis, then a reflection across the line y = STV has vertices S( 3, 2), T( 4, 3) and V( 2, 3). If (x, y) (x + 2, y 3), what are the vertices of its image? 20. Which of the following is not a congruence transformation for a two-dimensional figure?. dilation. rotation C. reflection. translation. S ( 1, 5), T ( 2, 0), V (0, 0). S ( 5, 1), T ( 6, 6), V ( 4, 6) C. S ( 1, 4), T ( 2, 5), V (1, 6). S (3, 2), T (4, 3), V (2, 3) page 5

6 24. What is the mapping for the reflection where C maps to C? 27. State the congruence relation for FLE and FUE.. S. C. SS. SSS. (x, y) (x, y). (x, y) ( x, y) C. (x, y) (x, y). (x, y) (x, 1 2 y) 28. In the figure shown, m CN = m WN and CN = W. What congruence statement proves CN = WN?. SS 25. State the congruence relation for XYZ and PQR.. S. SS. S C. SS. not necessarily congruent C. SS. not necessarily congruent 26. State the congruence relation for C and EF.. SSS. SS 29. In the figure shown, m T = m V and E is the midpoint of TV. What congruence statement proves TER = VEC?. SSS. S C. SS. not necessarily congruent C.. SS page 6

7 30. If the triangles can be proved congruent using only the information marked on the diagram, what is the reason?. SS. S C. SS. cannot be proven congruent 31. Which diagrams show two triangles which must be congruent? I. II. III.. I only. II only C. I and II only. I and III only 32. The S (ngle, Side, ngle) relationship is a way to show that triangles are congruent. Sets of triangle parts are listed. Which set gives parts that allow triangle C to be proven congruent to triangle XYZ by S?. = X; = Y; C = Z. = X; C = YZ; C = XZ C. = X; = XY; C = XZ. = X; = XY; ; = Y 33. Triangle RST is congruent to triangle TUR. Complete each statement. a) RST = b) STR = c) RU = d) triangle STR = triangle page 7

8 34. What are the coordinates of point (2, 3) after a translation to the right of 2 units and down 5 units, and then a dilation by a factor of 1.5 about (0, 0)? 37. State the coordinates of the midpoint of line segment EF.. (6, 3). ( 2, 1) C. (3, 0). (0, 2). ( 2, 0). ( 1, 0) 35. What are the coordinates of point (2, 3) after a translation to the left of 2 units and down 5 units, and then a dilation by a factor of 0.5 about (0, 0)? C. (2, 3). 52. ( 6, 3). ( 2, 1) C. (0, 1). (0, 2) 36. C, with vertices (0, 0), (0, 2) and C (1.5, 3), is the image of C with vertices (0, 0), (0, 4), and C(3, 6) under a dilation. If the origin is the center of dilation, what is the scale factor? 38. etermine the coordinates of the midpoint of the line segment with endpoints R(6, 2) and S( 3, 2).. (1, 2). (1.5, 2) C. (1.5, 2). (3, 2) C. 2. undefined page 8

9 39. If you cut this object in half horizontally, what shape could result?.. C.. page 9

10 40. tessellation is a repeating pattern based on congruence transformations. Here are some examples: I. II. III. Which of the above examples use only translations to make the pattern?. I only. II only C. I and II only. II and III only page 10

11 Problem-ttic format version c Educide Software Licensed for use by Lauren Plant Terms of Use at 12/20/ G.CO G.CO C 17. C G.CO C 18. G.CO G.CO G.CO C 21. G.CO G.CO G.CO G.CO.06

12 Teacher s Key Page TUR; URT; ST; URT 34. G.SRT C G.SRT G.SRT G.GPE C G.GPE G.GM G.CO.04