Polygon JKLM is dilated by a scale factor of 2.5 with point C as the center of dilation, resulting in the image J′K′L′M′. If point C lies on `bar(LM)` and the slope of `bar(LM)` is 1.75, what can be said about `bar(L'M')` ? A. `bar(L'M')` has a slope of 1.75 but does not pass through point C. B. `bar(L'M')` has a slope of 2.5 but does not pass through point C. C. `bar(L'M')` has a slope of 1.75 and passes through point C. D. `bar(L'M')` has a slope of 2.5 and passes through point C.

Respuesta :

Answer : C , (L'M')` has a slope of 1.75 and passes through point C

Polygon JKLM is dilated by a scale factor of 2.5 with point C as the center of dilation, resulting in the image J′K′L′M′.

Given : Point C lies on the line LM and the slope of LM is 1.75.

In dilation by scale factor , the size of the polygon will increase or decrease.

the slope will not change by dilation. The slope remains the same.

So the slope of L'M' is 1.75

The line (L'M') has a slope of 1.75 and passes through point C.

C. `bar(L'M')` has a slope of 1.75 and passes through point C.