HW 1.pdf - Student: Maricela Vasquez Date: 10/18/21...

1.
Student: Maricela Vasquez
Date: 10/18/21
Instructor: Roberta Marshall Bassik
Course: MAT-151-O501
Assignment: Homework 10
Translate figure A by vector . w
4
6
8
10
y
A
Choose the translation of A by vector . w
A. B.
C. D.
0 10
0
10
x
y
0 10
0
10
x
y
w
A
A
2.
0 2 4 6 8 10
0
2
x
0 10
0
10
x
y
0 10
0
10
x
y
Type the coordinates of the images , , and for each of the following points under the translation defined by
(x,y) (x ,y ).
P Q R
+ 9 − 8
a) P(0,0) b) Q( , ) − 3 1 c) R( , ) − 9 − 2
a) P(0,0) (Type an ordered pair.) P (9, − 8)
b) Q( , ) (Type an ordered pair.) − 3 1 Q (6, − 7)
c) R( , ) (Type an ordered pair.) − 9 − 2 R (0, − 10)
A
A

3. Consider the translation . For each of the
following, draw the image of the figure under the translation
and find the coordinates of the images of the labeled points.
(x,y) (x + 3,y − 1)
A( , ) − 5 2 A ( − 2,1)
(Type an ordered pair.)
B( , ) − 2 2 B (1,1)
(Type an ordered pair.)
C( ,0) − 3 C (0, − 1)
(Type an ordered pair.)
D(0,0) D (3, − 1)
(Type an ordered pair.)
Choose the correct translation below.
-5 5
-5
5
-5 5
-5
5
x
y
-5 5
-5
5
-5 5
-5
5
a)
-4 -2 2 4
-4
-2
2
4
x
y
A B
C
D
b)
-4 -2 2 4
-4
-2
2
4
x
y
A
B
C
A( , ) − 3 2 A (0,1)
(Type an ordered pair.)
B( , ) − 1 4 B (2,3)
(Type an ordered pair.)
C( , ) 0 0 C (3, − 1)
(Type an ordered pair.)
Choose the correct translation below.
A.
-5 5
-5
5
B.
-5 5
-5
5
C.
-5 5
5
5
D.
-5 5
5
5
x
y

4.
Find the image of the quadrilateral to the right in a rotation about D. 180
°
clockwise
A
B
C D
Choose the correct figure of the rotation below.
5.
A
B
C
D A'
B'
C'
D'
A
B
C
D
A'
B' C'
D'
D C
B
A
A'
B'
C' D'
If is a line whose equation is y x , find the equation of the image of under each of the following translations. ℓ = 7 − 2 ℓ
a. (x,y) (x,y ) − 2
b. (x,y) (x ,y) + 3
a. The equation of the image of under the translation (x,y) (x,y ) is . ℓ − 2 y = 7x − 4
(Simplify your answer.)
b. The equation of the image of under the translation (x,y) (x ,y) is . ℓ + 3
(Simplify your answer.)
YOU ANSWERED: y = 7x − 8

6.
The image of under a rotation is given in the following figure. Find . AB AB
A'
B'
O
Choose the correct graph that, after the given rotation, will have the image . A'B'
7.
A'
B'
A A'
B'
A
A'
B'
A
In the accompanying figure, find the image of
the figure under a half-turn about O. Hint:
Find the images of the vertices.
A B
C O
Choose the correct figure of the rotation below.
A. B. C.
B
B
B
A B
C
A'
B' C'
O
A B
C
A' B'
C'
O
A B
C
A'
B' C'
O

8. Find the preimage whose image is given in the following grid after undergoing the translation X to X'.
X
X' X'
Choose the correct preimage below whose image after translation is shown above.
9.
Consider the translation . Draw the figure whose image is
shown.
(x,y) (x + 3,y − 3)
-6 -4 -2 2 4 6
-6
-4
-2
2
4
6
x
y