Question

graphing - sequence of transformation
which series of transformations will map
figure a onto figure b? circle one
transformation from each column. show your
reasoning by graphing the transformations.
a 90 degree clockwise
rotation
a reflection across
the x - axis
a translation 1 units
left and 3 units down
a dilation by a factor
of 2
a dilation by a factor
of 2
a 180 degree rotation
about the origin
a reflection across
the y - axis
a translation 4 units
left and 2 units down

Explanation:

Step1: Analyze the size change

Since Figure B is larger than Figure A, a dilation is needed. The side - length of Figure A is \(1\) unit (assuming the grid squares are of unit length), and the side - length of Figure B is \(2\) units. So, a dilation by a factor of \(2\) is required.

Step2: Analyze the position change

After dilation, we need to move the dilated figure. The center of Figure A (assuming a square - like center) is at \((0,0)\) (approximate). After dilation, if we consider the transformation of points. A translation of \(4\) units left and \(2\) units down will map the dilated Figure A (from the origin - centered dilation) to Figure B.

Answer:

A dilation by a factor of \(2\) and A translation \(4\) units left and \(2\) units down.