Test 6 Geometry PDF

Name: ________________________ Class: ___________________ Date: __________ ID: A TOPIC 6 TEST ~ LHS 1. What are the coordinates of the image 5. Write TRUE or FALSE.  2,4  , where R  6,2  is the center of     dilation with sc...

Name: ________________________ Class: ___________________ Date: __________ ID: A TOPIC 6 TEST ~ LHS 1. What are the coordinates of the image 5. Write TRUE or FALSE.  2,4  , where R  6,2  is the center of     dilation with scale factor 0.5? A similarity transformation that maps one circle onto another must include a reflection. ( ____ , ____ ) _______________ 2. Find the area of LKJ. There is no similarity transformation that will map one circle onto another. _______________ All circles are similar. _______________ 6. What equation is parallel to y  3x  5 and passes through (2, –7)? Area = ______ sq. units 3. What is EG? y = _____ x - _____ 7. Given the point J  5,4  and K  6,9  , find the coordinates of point P on JK that partitions JK into the ratio of 2:3. EG = _______ 4. What are the coordinates of U’’ for the   transformation  T 3,1  D 4   TUV  of   T  7,6  , U  8,3  , and V  2,1  ?           P ( ____ , ____ ) ( ____ , ____ ) 1 Name: ________________________ ID: A 8. Write TRUE or FALSE. 11. Given EF has an endpoint E  5,4  and midpoint  8,6  , what are the coordinates A dilation is a similarity transformation in which the corresponding angles are of the other endpoint F? congruent. _______________ F( ____ , ____ ) A dilation is a similarity transformation in which the corresponding sides are 12. Does the transformation preserve congruent. distance between points? Write YES or NO. _______________ Rotation about  2,3  _______________ A dilation is the only transformation that results in congruent corresponding Reflection across line y  x __________ angles. Dilation by factor 0.5 _______________ _______________ 13. Why are the triangles similar? 9. Given B(5,1) , what are the coordinates of B’ for the dilation with scale factor 2 and center at the origin? Triangles are similar by B’ ( ____ , ____ ) __________ 10. Given the heptagon, what is the degree of x? 14. What is the value of x? x = _______ x = _____ degrees 2 Name: ________________________ ID: A 15. The area of ABC is 26 sq. meters. 18. Which condition would prove What is the area, in sq. meters, of the DEF  JKL? image of ABC after a dilation with a scale factor of 4? Area = ______ sq. meters 16. The sum of all three floor lengths is 245 feet. What is the length of the middle floor? EF 2 A.  KL 1 DF 2 B.  JL 1 DE 1 C.  JK 2 DF 1 D.  JL 2 19. What are the vertices of D 1.5  ABC  Middle floor: _____ feet 17. Given the parallelogram, what is the value of x? x = _____ A. A(3,6), B (6,3), C (6,6) B. A(3.5,5.5), B (5.5,3.5), C (5.5,5.5) C. A(1,2), B (2,1), C (2,2) D. A(1.5,3), B (3,1.5), C (3,3) 3 Name: ________________________ ID: A 20. D 2  ABC   A' B' C' and 23. Rectangle E' F' G' H' is a dilation with 5 center P of EFGH. How are the angles D 5  A' B' C'  A' ' B' ' C' '. What is the of the two figures related? 3 scale factor of the dilation between ABC and A' ' B' ' C' '? 6 A. 25 31 B. 15 2 C. 3 3 D. 2 21. LMN is reflected over the x-axis and 2 then dilated by a scale factor of to form A. The corresponding angles are 3 congruent. L' ' M' ' N' '. Select all that apply. B. The measures of the angles of A. LMN  L' ' M' ' N' ' E F G H  are 3 times the B. M  M' ' corresponding angles of EFGH. C. MN  M' ' N' ' D. L  L' ' C. The measures of the angles of 22. Which conclusion does the diagram E F G H  are 2 times the support? corresponding angles of EFGH. D. The measures of the angles of 1 E F G H  are the corresponding 2 angles of EFGH. AB WX A.  BC XY BC WX B.  AB XY BX CY C.  AW BX 1 D. BX  AW 2 4 Name: ________________________ ID: A 24. What composition of rigid motions and a 25. Write a similarity statement for these dilation maps EFGH to the dashed triangles. figure? A. JMK  MLK  JLM B. JMK  LMK  JLM C. JLM  MLK  JKM D. JKM  MKL  MJL A. D 2  T  0,6  B. D 2  T  1,3  C. D 1  T  1,3  2 D. D 1  T  0,12  2 26. ABCDE  GHJDF. Complete the statements. H  a. GH DJ  b. AB A. B; DC B. E ; AE C. E ; DC D. B; AE 5 Name: ________________________ ID: A 27. What are the values of a and b? 29. What is the center for the dilation of ABC ? A. a = 8, b = 8 5 B. a = 18, b = 4 5 C. a = 8, b = 4 5 D. a = 64, b = 80 28. What is the value of x, given that PQ  BC ? A.  0,0  B.  3,2  C.  2,0  D.  0,2  30. Given the following diagram of ABC. Which choice shows the correct 1 coordinates of C’ that will be of the 4 A. 8 B. 11 distance from A to C? C. 10 D. 16 A.  1.5,2  B.  2,1.25 C.  3,1.5  D.  4,1.75 6