If an image of a triangle is congruent to the pre image then the scale factor of the dilation must be n=

If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  1.

Step-by-step explanation:

Let ΔPQR is dilated to ΔP'Q'R' such that ΔPQR≅ΔP'Q'R'

By CPCTC, PQ=P'Q'  QR≅Q'R' and PR≅P'R'.

⇒ n=1

Hence, If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n =  1.

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step-by-step explanation:

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

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