NAME ______DATE______PERIOD ______
Transformation Review
Write the letter for the correct answer in the blank at the right of each question.
Chapter 954Glencoe Geometry
NAME ______DATE______PERIOD ______
1. Given C(2, 9), under which reflection is C′(9, 2)?
A reflected in the x-axis C reflected in the line x = 2
B reflected in the y-axis D reflected in the line y = x
2. Name the image of under a reflection in a vertical linethrough point N.
FH
G J
3. How many lines of symmetry does a regular 12-gon have?
A 4 B 6 C 12 D 24
4. Which of the following figures shows a translation?
F H
G J
5. Name the image of C(6, –4) under a rotation 90° about the origin.
A C′(4, 6) B C′(–4, –6) C C′(6, 4) D C′(–6, –4)
6. Name the image of Z(-11, -6) along the translation vector 〈1, 7〉.
F Z′(–12, 1) G Z′(–12, –13) H Z′(–10, 1) J Z′(–10, –13)
EXTRA - Find the angle of rotation of a figure that is reflected in two lines thatintersect to
form a 66°-angle.
A 264° B 132° C 66° D 33°
8. The point Z(4, –2) is rotated 180° about the origin. What is the image of Z?
F Z′(2, 4) G Z′(–4, 2) H Z′(–2, –4) J Z′(–4, –2)
9. Which does not describe a transformations that couldbe used
to create the pattern shown?
A translation C reflection
B rotation D dilation
10. What type of dilation occurs with a scale factor of 1?
F enlargement H congruence transformation
G reduction J glide reflection
Chapter 954Glencoe Geometry
NAME ______DATE______PERIOD ______
Chapter 954Glencoe Geometry
NAME ______DATE______PERIOD ______
11. How many lines of symmetry are in the figure atthe right?
A 0 C 2
B 1 D 3
12. Stella carved an equilateral triangle that is 3 centimeters on each side on apumpkin. Then she carved another equilateral triangle that is 5 centimeterson each side. What scale factor did Stella use to increase the size of thetriangle?
F 2 G H J
13. The line segment with endpoints T(2, 1) and U(–5, 6) is rotated 90° aboutthe origin. What is the coordinate of T′?
A T′(2, –1) B T′(–2, –1) C T′(1, 2) D T′(–1, 2)
14. A point R with coordinates (3, –1) is translated along the vector 〈–2, 3〉andthen reflected in the x-axis. What are the coordinates of R"?
F R"(1, 2)G R"(3, 1) H R"(1, –2) J R"(3, –1)
Extra - Which of the following regular polygons has a magnitude of symmetry of 72°?
A decagon B pentagon C hexagon D octagon
16. Find the image of D(3, 4) under a translation by the vector 〈–7, –2〉.
F D′(10, 6) G D′(–10, –6) H D′(4, –2) J D′(–4, 2)
17. Find the image of Y(–7, 4) after a dilation centered at the origin with a scalefactor of –3.
A Y′(–21, 12) B Y′(21, –12) C Y′(12, –21) D Y′(–12, 21)
18. LMNO is a trapezoid with L(–1, 4), M(5, 12), N(5, –3), and O(–1, –5).Find the coordinates for the image of N along the translation vector 〈–7, 9〉.
F N′(–2, 6) G N′(12, –12) H N′(–8, 13) J N′(–2, 21)
19. A triangle is reflected in two parallel lines that are 2 centimeters apart.Which best describes the resulting transformation?
A reflection 4 cm right C translation 4 cm right
B reflection 2 cm right D translation 2 cm right
Bonus The point (a, b) is rotated about the origin 90° and then reflected inthe x-axis.
What coordinate best describes the resultingtransformation of the point?
Chapter 954Glencoe Geometry