Lesson 3

Grid Moves

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Apply each transformation described to Figure A. If you get stuck, try using tracing paper.

A figure A with a point P, a line l and a point P prime on a triangular grid.

A translation which takes $P$ to $P’$
A counterclockwise rotation of A, using center $P$, of 60 degrees
A reflection of A across line $\ell$

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Here is triangle $ABC$ drawn on a grid.

Triangle A B C on a grid. Let (0 comma 0) be the bottom left corner. Then the coordinates of triangle A B C are A(3 comma 8), B(5 comma 7) and C(8 comma 9).

On the grid, draw a rotation of triangle $ABC$, a translation of triangle $ABC$, and a reflection of triangle $ABC$. Describe clearly how each was done.

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Draw the translated image of $ABCDE$ so that vertex $C$ moves to $C’$. Tracing paper may be useful.
Draw the reflected image of Pentagon $ABCDE$ with line of reflection $\ell$. Tracing paper may be useful.
$Pentagon $A$ $B$ $C$ $D$ $E$ and line $l$. Segment $B$ $C$ is the base of the pentagon and point $E$ is the top. Line $L$ is vertical and is to the right of the pentagon.$
Draw the rotation of Pentagon $ABCDE$ around $C$ clockwise by an angle of 150 degrees. Tracing paper and a protractor may be useful.

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(From Unit 1, Lesson 2.)

Lesson 3

Problem 1

Solution

Problem 2

Solution

Problem 3

Solution