Questions and Answers
What are the coordinates of A' after the 90° counter-clockwise rotation?
A': (-1,1)
What are the coordinates of B' after the 90° counter-clockwise rotation?
B': (-1,2)
What are the coordinates of C' after the 90° counter-clockwise rotation?
C': (-3,2)
What are the coordinates of D' after the 90° counter-clockwise rotation?
Signup and view all the answers
What are the coordinates of A'' after the 180° clockwise rotation?
Signup and view all the answers
What are the coordinates of B'' after the 180° clockwise rotation?
Signup and view all the answers
What are the coordinates of C'' after the 180° clockwise rotation?
Signup and view all the answers
What are the coordinates of D'' after the 180° clockwise rotation?
Signup and view all the answers
How are A'B'C'D' and A''B''C''D'' related?
Signup and view all the answers
Study Notes
Trapezoid Rotation and Coordinates
- Trapezoid ABCD has vertices at A(1,1), B(2,1), C(2,3), and D(0,3) on the coordinate plane.
- Rotating the trapezoid 90° counter-clockwise about the origin results in new coordinates:
- A' at (-1,1)
- B' at (-1,2)
- C' at (-3,2)
- D' at (-3,0)
Further Rotations
- A subsequent rotation of the trapezoid 180° clockwise also influences the coordinates:
- A" becomes (-1,-1)
- B" becomes (-2,-1)
- C" becomes (-2,-3)
- D" becomes (0,-3)
Relationship Between Figures
- The figures A'B'C'D' and A"B"C"D" are reflections of each other across the y-axis.
- Understanding these transformations highlights geometric properties and symmetries in coordinate planes.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Explore the transformations of trapezoid ABCD through various rotations. This quiz involves rotating the trapezoid 90° counter-clockwise and 180° clockwise about the origin. Show your work to determine the new coordinates after each transformation.
