

1. 
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. 


A. 

B. 



C. 

D. 



Hint 


2. 
A triangle ABC has vertices A(3, 1), B(4, 2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. 


A. 
A'(21, 3), B'(12, 6), C'(9, 3) 
B. 
A'(3, 9), B'(6, 12), C'(3, 21) 


C. 
A'(9, 3), B'(12, 6), C'(21, 3) 
D. 
A,/i>'(12, 6), B'(21, 3), C'(9, 3) 


Hint 


3. 
A quadrilateral with vertices A(2,3), B(4,2), C(2,4) and D(0,2) is translated 5 units to the right and 3 units down. What are the new coordinates? 


A. 
A(3,6), B(1,1), C(3,1), D(5,1) 


B. 
A(3,0), B(1,5), C(3,7), D(5,5) 


C. 
A(3,6), B(1,1), C(3,7), D(5,5) 


D. 
A(5,2), B(7, 7), C(5, 9), D(3, 7) 


Hint 


4. 
Determine the coordinates of a dilated figure with a scale factor of 1.5 if the vertices of the original are A(3,5), B(4,5), C(4,5), and D(3,5) 


A. 
A(4.5,7.5), B(6,7.5), C(6,7.5) and D(4.5,7.5) 


B. 
A(1.5,2.5), B(2,2.5), C(2,2.5), and D(1.5,2.5) 


C. 
A(1.5,3.5), B(5.5,3.5), C(5.5,6.5) and D(1.5,6.5) 


D. 
A(4.5,6.5), B(2.5,6.5), C(2.5,3.5) and D(4.5,3.5) 


Hint 


5. 
Use matrices to determine the coordinates of the image of with vertices A(3,4), B(5,2) and C(6,5) once it is rotated 90°. 


A. 
A'(3,4), B(5,2) and C'(6,5) 


B. 
A'(3,4), B(5,2) and C'(6,5) 


C. 
A'(3,4), B(5,2) and C'(6,5) 


D. 
A'(4,3), B(2,5) and C'(5,6) 


Hint 

