Question

Select ALL the correct answers.Figure A is a polygon that has been graphed on a coordinate grid.Which of the following transformations will result in a similar image to figure A?A. Reflect figure A across the y-axis, and dilate it by a scale factor of 4.B. Increase the length of one side of figure A by 2 units, and rotate the figure 90° counterclockwise about its center.C.Translate figure A down 4 units and left 6 units, and dilate it by a scale factor of 3.D. Double the measurement of each angle by 2, and dilate it by a scale factor of 2.E. Reduce the measurement of each angle by half, and reflect the figure across the x-axis.

Answer 1

Recall that two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.

Now, if we increase the length of one side of figure A by 2 units, then, the result cannot be similar to figure A.

Also, if we change the interior angles, the result cannot be similar to figure A.

Now, we know that translations, dilations are transformations that transform a figure into a similar figure.

Also, a translation of 4 units down and 6 units left, followed by a dilation by a scale factor of 3 transforms figure A into a similar figure.

Answer: Option C.