The two triangles shown below are simiar. which statement is true of the transformation from abc to a' b' c'

the lengths of all corresponding sides change by a scale factor of 1/2

the measures of all corresponding angles change by a scale factor of 1/2

the measures of all corresponding angles change by a scale factor of 2.

the lengths of all corresponding sides change by a scale factor of 2.

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Step-by-step explanation:

Since the triangles are similar, the ratio of their sides are equal.

And we can count the number of blocks over which AC and A'C' is drawn and take them to be their length,

Therefore,

AC = 16

A'C'= 8

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

Measuring the tans of the angles by taking the ratio of opposite by adjacent, we get,

tanA =

tanA'=

which means tanA= tanA'

The angles do not change.

Thus when transforming from ABC to A'B'C', the lengths are scaled by a factor of 0.5 .

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

your answer is  

a.

5

step-by-step explanation: