Post on 31-Dec-2015
description
WARM UP:Describe in words how to rotate a
figure 90 degrees clockwise.
Honors GeometryUnit 2 Review
1. Use the given figure and line of reflection to draw the
reflected image. Use a ruler. Label all points.
ZXW
Y
2. Graph the figure and its image under the given reflection.
• Triangle ABC: A(-3, 2), B(0, 1), C(-2, -3)• Line y = x
3. Use the figure and translation vector to draw a translated image.
Label all points. Use a ruler.
VUT
W
4. Graph each figure and its image along the given vector.
• Quadrilateral LMNP• L(4, 2), M(4, -1), • N(0, -1), P(1, 4)• <-4, -3>
5. Which matrix calculation was used to transform
toPQR ''' RQP
4
2
-2
-4
-5 5
P'
R'
Q'
Q
RP
A.
B.
C.
D.
151
541
01
10
151
541
01
10
151
541
10
01
151
541
10
01
6. Graph each figure and its image after the specified rotation
about the origin.
• Triangle DEF• D(-4, 3),• E(1, 2), • F(-3, -3)• 180°
7. Triangle ABC has vertices A(1, 3), B(-2,-1) and C(3, -2)
Graph the triangle and its image after the given glide reflection.
• Translation • along <2, 0>• Reflection • across y axis
8. Does the figure appear to have line symmetry? If so, draw all lines of symmetry.
9. If with vertices D(-2, 6) F(2, 8) G(2, 3) is rotated 180° about the origin. Which matrix would be the vertex matrix for ?
DFG
''' GFD
386
222
222
386
386
222
222
386
A. B.
C. D.
10. has vertices J(0, 3) K(-2, -1) and L(-6, 1). When is reflected over the line x = -4, what are the coordinates of L’?
JKL
A. (-2, 1)
B. (6, 1)
C. (-10, 1)
D. (6, -1)
11. Using matrices, find the coordinates of the vertices of the
image of QRST after reflection across y = x. Graph both.
• Q(3, 2)• R(4, -3)• S(-3, -4)• T(-2, 1)
12. Using matrices, find the image of DEFG if it is
translated 1 unit left and 4 units up. Graph both.
• D(-4, -2)• E(0, -1)• F(2, -4)• G(-2, -5)
13. Using matrices, find the image of triangle VWX after it
is rotated 270° about the origin. Graph both.
• V(3, 2)• W(4, 1)• X(2, 1)
14. The vertex matrix for triangle XYZ isTriangle X’Y’Z’ is produced by translating 3 units right and 5 units down. What is the vertex matrix for triangle X’Y’Z’ ?
114
222
A. B.
C. D.
441
151
447
737
112
511
441
515
15. If ABCD is reflected across the x axis, which rule describes
the transformation?
A.(x’, y’) = (y, x)
B.(x’, y’) = (-y, x)
C.(x’, y’) = (x, -y)
D.(x’, y’) = (-x, y)
2
-2
-4
5
C
D
A
B
16. has vertices J(2, 2) K(3, 5) and L(6, 2). The triangle is translated along the vector <-1, -6> and reflected over the y axis. Which matrix represents the coordinates of
JKL
''' LKJ
252
632
414
521
414
521
414
521
A. B.
C. D.
17.
It is translated 2 units left and 5 units up. Then it is translated 6 units right and 6 units down. Which operation finds the correct coordinates of ?
252
632DEF
''' FED
555
222
252
632
666
666
252
632
111
444
252
632
111111
888
252
632
A B.
C. D.