Rigid Transformation
1
Which sequence of transformation shows that the pre-image ABCD will be transformed to the image A'B'C'D'?
i. Translate ABCD to the right 2 units, then reflect the resulting figure across the x-axis.
ii. Reflect ABCD across the x-axis, then translate the resulting figure to the right 3 units.
iii. Translate ABCD to the right 4 units, then translate the resulting figure down 4 units.
iv. Reflect ABCD across the x-axis, then reflect the resulting figure across the y-axis.
Answer the questions on the worksheet 3.3 Activity: Sequence of Rigid Transformations.
2
a. Which transformation will not transform the pre-image ABCD into the transformed image A'B'C'D'?
i. A reflection about the x-axis.
ii. A 270° clockwise rotation about the origin.
iii. A reflection across the y-axis, then 180° clockwise rotation about the origin.
iv. A 180° clockwise rotation about the origin, then a reflection across the y-axis.
Answer the questions on the worksheet 3.3 Activity: Sequence of Rigid Transformations.
b. What will the transformed shape be for the answer you have chosen above? Draw the transformed shape on the graph below.
3
Which sequence of transformation shows that the pre-image ABCDE will be transformed to the image A'B'C'D'E'?
i. A reflection over the x-axis, then translation of 6 units right.
ii. A reflection over the y-axis, then translation 3 units down.
iii. A translation of 1 unit right, then a rotation of 180° about the origin.
iv. A translation of 4 units right, then a rotation of 180° about the origin.
Answer the questions on the worksheet 3.3 Activity: Sequence of Rigid Transformations.
4
a. Which transformation will not transform the pre-image ABCD into the transformed image A'B'C'D'?
i. A reflection about the x-axis, then a reflection across the y-axis. .
ii. A 90° counterclockwise rotation about the origin.
iii. A reflection across the y-axis, then translation of 8 units down.
iv. A 180° clockwise rotation about the origin.
Answer the questions on the worksheet 3.3 Activity: Sequence of Rigid Transformations.
b. What will the transformed shape be for the answer you have chosen above? Draw the transformed shape on the graph below.