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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