Select all true statements. A) Dilation's of an angle must be congruent to the original angle.
B) Dilation's if a triangle must be congruent to the original triangle.
C) Dilation's of a segment must be congruent to the original segment.
D) Dilation's of a circle must be congruent to the original circle.

A) Dilation's of an angle must be congruent to the original angle.

B) Dilation's if a triangle must be congruent to the original triangle.

Step-by-step explanation:

Dilation is one of rigid transformations in which the size of an angle or object is either increased or decreased, to produce an image, with respect to a given factor. In this process, the dimensions of the object are affected but its orientation remains the same.

When a figure is dilated, the new figure is congruent to the original figure. Also, when an angle undergoes dilation, its measure is not affected. Thus, it would be congruent to the original angle.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

s

step-by-step explanation: