L5 Transformations: Rotations and Reflections
Completion requirements
Unit A: Geometry
Chapter 2: Transformations
Two-Step Transformations Involving Rotations and Reflections
Reflect quadrilateral LMNO in the y-axis and then rotate the image 90° counterclockwise. State the coordinates of each vertex of the reflected image, L"M"N"O".
Step 1: Reflection
Reflect quadrilateral LMNO in the y-axis to produce image L'M'N'O'.
Step 2: Rotation
Quadrilateral L'M'N'O' is rotated 90° clockwise to produce image L"M"N"O". To find the coordinates of the image, first switch the x and y values. The image is in quadrant 1 (bottom left), so the x values are positive and the y values are positive.
The coordinates of quadrilateral L"M"N"O" are L"(5, –7), M"(8, –5), N"(9, –2), O"(6, –3) after the reflection and rotation have been applied.
Reflect quadrilateral LMNO in the y-axis to produce image L'M'N'O'.
Step 2: Rotation
Quadrilateral L'M'N'O' is rotated 90° clockwise to produce image L"M"N"O". To find the coordinates of the image, first switch the x and y values. The image is in quadrant 1 (bottom left), so the x values are positive and the y values are positive.
The coordinates of quadrilateral L"M"N"O" are L"(5, –7), M"(8, –5), N"(9, –2), O"(6, –3) after the reflection and rotation have been applied.