Question

Classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape I onto shape II.a reflection across the y-axis, followedby a 90° clockwise rotation about theorigin, and then a translation left 18 unitsa 90 clockwise rotation about theorigin and then a translation left 18 units90° counterclockwise rotation aboutthe origin, followed by a resetionacross the y-axis, and then atranslation left 18 unitsa 90 clockwise rotation about theorigin, followed by a reflection acrossthe y-axis, and then a translationright 2 unitsa 180 rotation about the originfollowed by a reflection across theyaxis, and then a 90 clockwiserotation about the angina reflection across the y-axis, followedby a 90 counterclockwise rotationabout the origin, and then a translationnght 2 unitsMaps Shape Ionto Shape ilDoes not Map Shape Ionto Shape II

Answer 1

Given the figure 1

since we are looking for congruency

Using first option

a reflection over the y axis followed by a 90° clockwise rotation then a translation 18 units

Not a map shape

2. a 90 clockwise rotation then a translation 18 units left

map shape

3.

90° counterclockwise, reflection by the y axis then 18 units left

Not a map shape

4. 90° clockwise rotation, reflection over the y axis , translation 2 units right

map shape

5. 180 rotation, reflection over the y axis, 90° rotation clockwise

not a map shape

6.reflection over y axis, rotation 90° clockwise then a translation 2 units right

a map shape

to build a propper map shape the correct step by step is

reflect over y axis, rotate 90° conteclockwise, 2 units left, 18 units down