Geometry Question URGENT!

Question

Which transformation of a figure will create an image that is not congruent to the original figure?

A. Dilation by a factor of 7

B. Reflection about the line y=x

C. Translation by 5 units to the left on the x-axis

D. Rotation by 180º

Answer 1

HI Kristine,

If congruent means same size and shape, then which one of the four changes the size and shape?

It would be a dilation (same shape, different size).

I hope this helps!

Answer 2

Hi Kristine,

Final answer is Option A. Please see explanation below. I am very experienced in this subject and am happy to offer a free tutoring session to review answers to other problems you may have unsolved. I am available same day and usually respond in under 15 minutes.

We have a figure, and we're applying different transformations to it. The goal is to figure out which transformation will make a new image that is NOT congruent to the original figure. Congruent means they have the same size and shape.

A. Dilation by a factor of 7: This means making the figure seven times bigger or smaller. It will definitely change the size, but it won't change the shape. So, this one keeps the congruence intact.

B. Reflection about the line y=x: This is like flipping the figure over a diagonal line. It changes the orientation, but it doesn't change the size or shape. So, congruence remains.

C. Translation by 5 units to the left on the x-axis: This means moving the figure 5 units to the left. It's like sliding it without changing its size or shape. Congruence still holds.

D. Rotation by 180º: This means turning the figure upside down. It changes the orientation, but again, it doesn't change the size or shape. So, congruence is still there.

So, after considering all the options, the transformation that will create an image NOT congruent to the original figure is option A, the dilation by a factor of 7.

It changes the size, which breaks congruence. The others may change the appearance but won't break the congruence.

Hope to hear from you soon!

Best regards,

Benjamin M.