3.03 Identifying Symmetry And Transformations

8 September 2022
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question
What set of reflections and rotations would carry rectangle ABCD onto itself?
answer
Reflect over the y-axis, reflect over the x-axis, rotate 180Β°
question
Trapezoid JKLM is shown on the coordinate plane below: If trapezoid JKLM is translated according to the rule (x, y) β†’ (x + 5, y βˆ’ 4), what are the coordinates of point L'?
answer
(8, βˆ’6)
question
When a figure is translated on a coordinate grid, what conclusion can you draw from the pre-image and image?
answer
The side lengths remain the same, and the position of the figure changes.
question
Triangles DEF and D'E'F' are shown on the coordinate plane below: Triangle DEF and triangle D prime E prime F prime with ordered pairs at D negative 1, 6, at E 1, 3, at F 6, 3, at D prime 1, negative 6, at E prime negative 1, negative 3, at F prime negative 6, negative 3. What rotation was applied to triangle DEF to create triangle D'E'F'?
answer
180Β°
question
If trapezoid JKLM is translated according to the rule (x, y) β†’ (x + 2, y βˆ’ 6), what are the coordinates of point L'?
answer
(1,-4)
question
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I': Hexagon DEFGHI and Hexagon D prime E prime F prime G prime H prime I prime on the coordinate plane with ordered pairs at D 2, 5, at E 5, 5, at F 6, 3, at G 5, 1, at H 2, 1, at I 1, 3, at D prime negative 6, negative 2, at E prime negative 3, negative 2, at F prime negative 2, negative 4, at G prime negative 3, negative 6, at H prime negative 6, negative 6, at I prime negative 7, negative 4 Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?
answer
(x, y)β†’(x βˆ’ 8, y βˆ’ 7)