A similarity transformation maps ΔABC to ΔJKL. The measure of ∠A of preimage ΔABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If ∠A in the preimage corresponds to ∠J in the image, what is m∠J?

Question

anonymous · Answer

70°

140°

105°

35°

anonymous · Answer

@phi @mathmate @iGreen

mathmate · Answer

As in your previous problem, we note that both similarity transformation and dilations have the property of preserving parallelism, which means that corresponding sides remain parallel between the preimage and image.
This property implies also that corresponding angles are preserved.
If angle A of the preimage corresponds to angle J of the image, then the two angles are congruent.

anonymous · Answer

the answer is 105 because triangle ABC= 105 but because the problem is congruent m∠J equals 105 and follow me everyone i'm smart and that is 100% correct