Unit 1, Lesson 8

Rotation Patterns

Grade 8

Practice

For the figure shown here,

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Here is an isosceles right triangle. Draw these three rotations of triangle $ABC$ together.

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Each graph shows two polygons $ABCD$ and $A’B’C’D’$. In each case, describe a sequence of transformations that takes $ABCD$ to $A’B’C’D’$.

$Quadrilateral $A \ B\ C\ D$ and its image quadrilateral $A\ prime\ B\ prime\ C\ prime\ D\ prime$ on a coordinate plane, origin $O$.$
Quadrilateral $A\ B\ C\ D$ and its image quadrilateral $A \ prime\ B\ prime\ C\ prime\ D\ prime$ on a coordinate plane, origin $O$. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 2 to 3 by 1’s. The coordinates of$A\ B\ C\ D$ are $A$(negative 3 comma 3), $B$(negative 4 comma 1), $C$(negative 2 comma negative 1)and $D$(negative 2 comma 2). The coordinates of $A\ prime\ B\ prime\ C\ prime\ D\ prime$ are $A\ prime$(3 comma 2), $B\ prime$( 4 comma 0), $C\ prime$(2 comma negative 2)and $D\ prime$(2 comma 1).
Quadrilateral A B C D and its image quadrilateral A prime B prime C prime and D on a coordinate plane, origin O. Horizontal axis scale negative 5 to 7 by 1’s. Vertical axis scale negative 1 to 4 by 1’s. The coordinates of A B C D are A(negative 4 comma 1), B(negative 1 comma 0), C(1 comma 3) and D(negative 2 comma 3). The coordinates of A prime B prime C prime D prime are A prime (4 comma 4), B prime (3 comma 1), C prime (6 comma negative 1) and D prime (6 comma 2).

Lin says that she can map Polygon A to Polygon B using only reflections. Do you agree with Lin? Explain your reasoning.