Triangle ABC is translated by the rule (x + 1, y + 1) and then dilated by a scale factor of 2 centered at the origin. Which statement describes the properties of triangles ABC and A'B'C' after the transformations?

A. C and C" are congruent after both the translation and the dilation.

B. C and C" are congruent after the dilation, but not after the translation.

C. AC and A"C" are congruent after both the translation and the dilation.

D. AC and A"C" are congruent after the dilation, but not after the translation.

c/.

Step-by-stcep explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.