Quiz about Coordinate Notation : Transformations

Question 1

Describe the translation that occurred between BEL and B'E'L' using coordinate notation.

Accepted Answer

( x , y ) --> ( x - 4 , y + 2 )

Answer

( x , y ) --> ( x + 4 , y - 2 )

Answer

( x , y ) --> ( x - 2 , y + 4 )

Answer

( x , y ) --> ( x + 2 , y - 4 )

Question 2

Describe the translation that occurred between ALP and A'L'P' using coordinate notation.

Accepted Answer

( x , y ) --> ( x + 1 , y - 3 )

Answer

( x , y ) --> ( x - 1 , y + 3 )

Answer

( x , y ) --> ( x - 3 , y + 1 )

Answer

( x , y ) --> ( x + 3 , y - 1 )

Question 3

Describe the rotation that occurred between THY and T'H'Y' using coordinate notation.

Accepted Answer

( x , y ) --> ( -x , -y )

Answer

( x , y ) --> ( -y , -x )

Answer

( x , y ) --> ( -y , x )

Answer

( x , y ) --> ( y , -x )

Question 4

Describe the reflection that occurred between AGRW and A'G'R'W' using coordinate notation.

Accepted Answer

( x , y ) --> ( x , -y )

Answer

( x , y ) --> ( y , -x )

Answer

( x , y ) --> ( y , x )

Answer

( x , y ) --> ( -x , y )

Question 5

Describe the dilation that occurred between DEFG and D'E'F'G' using coordinate notation.

Accepted Answer

( x , y ) --> ( 1/2x , 1/2y )

Answer

( x , y ) --> ( 2x , 2y )

Answer

( x , y ) --> ( x + 2 , y + 2 )

Answer

( x , y ) --> ( 2y , 2x )

Question 6

Describe the dilation that occurred between A ( 8 , 12 ) and A' ( 2 , 3 ) using coordinate notation.

Accepted Answer

( x , y ) --> ( 1/4x , 1/4y )

Answer

( x , y ) --> ( 4x , 4y )

Answer

( x , y ) --> ( -4x , -4y )

Answer

( x , y ) --> ( x + 4 , y + 4 )

Question 7

Describe the reflection that occurred between A ( 5 , 10 ) and A' ( -5 , 10 ) using coordinate notation.

Accepted Answer

( x , y ) --> ( -x , y )

Answer

( x , y ) --> ( x , -y )

Answer

( x , y ) --> ( -y , -x )

Answer

( x , y ) --> ( -x , -y )

Question 8

Describe the rotation that occurred between A ( 2 , 3 ) and A' ( 3 , -2 ) using coordinate notation.

Accepted Answer

( x , y ) --> ( y , -x )

Answer

( x , y ) --> ( -y , x )

Answer

( x , y ) --> ( -y , -x )

Answer

( x , y ) --> ( -x , -y )

Question 9

Describe the translation that occurred between A ( 1 , 8 ) and A' ( 5 , 10 ) using coordinate notation.

Accepted Answer

( x , y ) --> ( x + 4 , y + 2 )

Answer

( x , y ) --> ( x + 2 , y + 4 )

Answer

( x , y ) --> ( x - 4 , y - 2 )

Answer

( x , y ) --> ( x - 2 , y - 4 )

Question 10

Find the point A' if A ( 7 , 9 ) was transformed by ( x , y ) --> ( 2x , 2y ).

Accepted Answer

( 14 , 18 )

Answer

( 9 , 11 )

Answer

( 3.5 , 4.5 )

Answer

( 5 , 7 )

Question 11

Find the point A' if A ( 4 , 7 ) was transformed by ( x , y ) --> ( -x , y ).

Accepted Answer

( -4 , 7 )

Answer

( 4 , -7 )

Answer

( 7 , -4 )

Answer

( -7 , 4 )

Question 12

Find the point A' if A ( 3 , 8 ) was transformed by ( x , y ) --> ( x - 4 , y - 2 ).

Accepted Answer

( -1 , 6 )

Answer

( 6 , -1 )

Answer

( 1 , 4 )

Answer

( -12 , -16 )

Question 13

Describe a 90^o counterclockwise rotation using coordinate notation.

Accepted Answer

( x , y ) --> ( -y , x )

Answer

( x , y ) --> ( y , -x )

Answer

( x , y ) --> ( -y , -x )

Answer

( x , y ) --> ( -x , -y )

Question 14

Describe a dilation with a scale factor of k = 1/7 using coordinate notation.

Accepted Answer

( x , y ) --> ( 1/7x , 1/7y )

Answer

( x , y ) --> ( 7x , 7y )

Answer

( x , y ) --> ( -7x , -7y )

Answer

( x , y ) --> ( x - 7 , y - 7 )

Question 15

Describe the translation in words. ( x , y ) --> ( x - 4 , y + 8 )

Accepted Answer

4 left , 8 up

Answer

4 right , 8 up

Answer

4 left , 8 down

Answer

4 right , 8 down

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