March 19, 2012. Geometry - Transformations Test Review. 1. What happens to an
object's orientation after each of the following transformations? a. translation.
March 19, 2012
Geometry - Transformations Test Review 1. What happens to an object's orientation after each of the following transformations? a. translation b. rotation c. reflection d. dilation 2. Decide if each of the following transformations is an isometry: a. translation b. rotation c. reflection d. dilation 3. When point P(9,6) is dilated, the image is P'(3,2). What was the scale factor of the dilation? a. 1
b. 2
c. 1/3
d. 1/2
4. A translation moves P(5,9) to P'(-2,3). a. Write the translation that was used.
b. Using the same translation on point Q(3,-1), what would be the coordinates of Q' ?
c. What is the pre-image of point R'(-3,0) if the same translation was used?
March 19, 2012
5. Complete the composition ry-axis o rx-axis on a point of your choice. Use a point that has different x and y values! What single transformation would have the same effect on your point?
6. Graph and find the image of the point P(4,-1) after each of the transformations below:
•
a. ry-axis
•
b. D0.7
c. R270º
•
•
•
d. ry= -x
•
e. T(2,-3)
f. R90º
March 19, 2012
7. For each picture below, name the transformation that is taking place. For each, is the original, and is the image.
a. ____________
b. ____________
c. _____________
Questions 8 - 10 refer to the objects below. For each question list ALL the right answers. There may be more than one! a.
b.
c.
8. Which of these objects have point symmetry?
9. Which of these objects have line symmetry?
10. Which of these objects have rotational symmetry?
March 19, 2012
11. Graph and label the triangle with vertices A(-4,1), B(-2,5) and C(-1,2). Graph and state the coordinates of triangle A"B"C" after the composition ry=x o D2.
March 19, 2012
Answers: 1. a. b. c. d.
orientation is preserved orientation is preserved orientation is reversed orientation is preserved
8. none 9. a, b, c 10. b, c
2. a. b. c. d.
yes yes yes no
11. A"(2,-8) B"(10,-4) C"(4,-2)
3. c 4. a. T(-7,-6) b. Q'(-4, -7) c. R(4,6) 5. R180º 6. a. b. c. d. e. f.
(-4,-1) (2.8, -0.7) (-1,-4) (1,-4) (6,-4) (1,4)
7. a. rx-axis b. R180º c. dilation
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