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Unit 1, Lesson 7

Rotation Patterns

Accelerated 7

Practice

Problem 1

For the figure shown here,

Rotate segment around point .
Rotate segment around point .
Rotate segment around point .

Segment C D with midpoint M and C D rising from left to right. Point E is above M D, slightly left of point D.

Problem 2

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

Rotate triangle clockwise around .
Rotate triangle around .
Rotate triangle clockwise around .

Right isosceles triangle A B C has horizonatl side A B with point A to the right of B, and has vertical side B C with point C directly above point B.

Problem 3

ForLesson 4: Coordinate Moves

Each graph shows two polygons and . In each case, describe a sequence of transformations that takes to .

$<p>Quadrilateral <span class="math" data-png-file-id="11011">\(A \ B\ C\ D\)</span> and its image quadrilateral <span class="math" data-png-file-id="11014">\(A\ prime\ B\ prime\ C\ prime\ D\ prime\)</span> on a coordinate plane, origin <span class="math" data-png-file-id="35">\(O\)</span>.</p>$
<p>Quadrilateral <span class="math" data-png-file-id="11020"></span> and its image quadrilateral <span class="math" data-png-file-id="11022"></span> on a coordinate plane, origin <span class="math" data-png-file-id="35"></span>. Horizontal axis scale negative 5 to 5 by 1’s. Vertical axis scale negative 2 to 3 by 1’s. The coordinates of<span class="math" data-png-file-id="11020"></span> are <span class="math" data-png-file-id="2"></span>(negative 3 comma 3), <span class="math" data-png-file-id="6"></span>(negative 4 comma 1), <span class="math" data-png-file-id="7"></span>(negative 2 comma negative 1)and <span class="math" data-png-file-id="12"></span>(negative 2 comma 2). The coordinates of <span class="math" data-png-file-id="11014"></span> are <span class="math" data-png-file-id="11023"></span>(3 comma 2), <span class="math" data-png-file-id="11028"></span>( 4 comma 0), <span class="math" data-png-file-id="11034"></span>(2 comma negative 2)and <span class="math" data-png-file-id="11018"></span>(2 comma 1).</p>
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).

Problem 4

ForLesson 3: Making the Moves

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

Two quadrilaterals polygon A and B on a grid.<br>