Regents Exam Questions G.CO.A.5: Compositions of Transformations 3Page 1

Regents Exam Questions G.CO.A.5: Compositions of Transformations 3Page 1

Name: ______

1The accompanying graph represents the figure I.

Which graph represents I after a transformation defined by ?

1) /
2) /
3) /
4) /

2Given point . State the coordinates of the image of A under the composition . [The use of the accompanying grid is optional.]

3On the accompanying grid, graph and label with vertices , , and . On the same grid, graph and label . the image of after the transformation .

4Given with points , , and . On the grid below, sketch . On the same set of axes, graph and state the coordinates of , the image of after a reflection in the line . On the same set of axes, graph and state the coordinates of , the image of after the translation .

5Given: with coordinates ,, and .

aOn the graph below, draw and label .

bGraph and state the coordinates of , the image of after the translation .

cGraph and state the coordinates of , the image of after a reflection in the x-axis.

dGraph and state the coordinates of , the image of after a reflection in the origin.

6Triangle ABC has coordinates ,, and .

aOn the graph below, draw and label .

bGraph and state the coordinates of , the image of after a reflection in the line .

cGraph and state the coordinates of , the image of following .

dGraph and state the coordinates of , the image of after a translation that maps onto .

7Given triangle ABC with coordinates ,, and .

aOn the graph below, draw and label .

bGraph and label , the image of after translation .

cGraph and label , the image of after a reflection in the origin.

dGraph and label , the image of after a reflection in the line .

8Triangle ABC has coordinates ,, and .

aOn the graph below, graph and label .

bGraph and state the coordinates of , the image of after a point reflection in the origin.

cGraph and state the coordinates of , the image of reflected in the line .

dGraph and state the coordinates of , the image of after translation .

9A shape to be used in a computer game is placed on a Cartesian coordinate plane. The equation of the shape is . On the accompanying grid, graph the shape and label it a. In the game, the shape is moved under the composition . Draw this image, label it b, and state its equation.

Regents Exam Questions G.CO.A.5: Compositions of Transformations 3

1ANS:3REF:080219b

2ANS:

. . The coordinates of the image of A after the reflection are After the translation, the coordinates of the image of A are

REF:080626b

3ANS:

REF:060928b

4ANS:

;

REF:080141siii

5ANS:

; ;

REF:018739siii

6ANS:

; ;

REF:018936siii

7ANS:

; ;

REF:018541siii

8ANS:

; ;

REF:088741siii

9ANS:

REF:061029b