G.CO.A.5.CompositionsofTransformations4.doc



1 If the coordinates of point P are [pic], then [pic] is

|1) |[pic] |

|2) |[pic] |

|3) |[pic] |

|4) |[pic] |

2 Which transformation is equivalent to the composite line reflections [pic]?

|1) |a rotation |

|2) |a dilation |

|3) |a translation |

|4) |a glide reflection |

3 Write a single translation that is equivalent to [pic] followed by [pic].

4 Find the coordinates of [pic] if the coordinates of A are [pic].

5 Find the coordinates of the image of [pic] under the transformation [pic].

6 What is the image that results from this composition of transformations?

[pic]

7 Find the coordinates of point [pic] under the composite [pic].

8 If the coordinates of A are [pic], what are the coordinates of [pic], the image of A after [pic]?

9 If the coordinates of B are [pic], what are the coordinates of B’, the image of B after [pic]?

10 Find the image of point [pic] under the composition of translations [pic].

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

[pic]

12 Triangle ABC has coordinates [pic], [pic], and [pic].

a On the grid below, draw and label [pic].

b Graph and state the coordinates of [pic], the image of [pic] after the composition [pic].

c Write a transformation equivalent to [pic].

[pic]

13 On the graph below, draw and label [pic], whose vertices are [pic], [pic], and [pic]. On the same set of axes, graph and state the coordinates of

a [pic], the image of [pic] after [pic].

b [pic], the image of [pic] after [pic].

c [pic], the image of [pic] after [pic].

Based upon these graphs, write a single transformation that shows the composition [pic].

[pic]

14 Given triangle ABC with coordinates [pic], [pic], and [pic].

a On the graph below, draw and label [pic].

b Graph and label [pic], the image of [pic] after translation [pic].

c Graph and label [pic], the image of [pic] after a reflection in the origin.

d Graph and label [pic], the image of [pic] after a reflection in the line [pic].

[pic]

15 Given: [pic] with coordinates [pic], [pic], and [pic].

a On the graph below, draw and label [pic].

b Graph and state the coordinates of [pic], the image of [pic] after the translation [pic].

c Graph and state the coordinates of [pic], the image of [pic] after a reflection in the x-axis.

d Graph and state the coordinates of [pic], the image of [pic] after a reflection in the origin.

[pic]

16 Triangle ABC has coordinates [pic], [pic], and [pic].

a On the graph below, graph and label [pic].

b Graph and state the coordinates of [pic], the image of [pic] after a point reflection in the origin.

c Graph and state the coordinates of [pic], the image of [pic] reflected in the line [pic].

d Graph and state the coordinates of [pic], the image of [pic] after translation [pic].

[pic]

17 Triangle ABC has coordinates [pic], [pic], and [pic].

a On the graph below, draw and label [pic].

b Graph and state the coordinates of [pic], the image of [pic] after a reflection in the line [pic].

c Graph and state the coordinates of [pic], the image of [pic] following [pic].

d Graph and state the coordinates of [pic], the image of [pic] after a translation that maps [pic] onto [pic].

[pic]

1 ANS: 4 REF: 010028siii

2 ANS: 1 REF: 018634siii

3 ANS:

[pic]

REF: 019816siii

4 ANS:

[pic]

REF: 088611siii

5 ANS:

[pic]

REF: 089340siii

6 ANS:

[pic]

REF: 069514siii

7 ANS:

[pic]

REF: 019613siii

8 ANS:

[pic]

REF: 089714siii

9 ANS:

[pic]

REF: 010112siii

10 ANS:

[pic]

REF: 060307siii

11 ANS:

[pic]; [pic]

REF: 080141siii

12 ANS:

[pic]; [pic]

REF: 019541siii

13 ANS:

[pic]; [pic]; [pic]; [pic]

REF: 089938siii

14 ANS:

[pic]; [pic]; [pic]

REF: 018541siii

15 ANS:

[pic]; [pic]; [pic]

REF: 018739siii

16 ANS:

[pic]; [pic]; [pic]

REF: 088741siii

17 ANS:

[pic]; [pic]; [pic]

REF: 018936siii

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