A transformation of rectangle ABCD results in rectangle A'B'C'D'. A smaller rectangle is shown inside a larger rectangle. The smaller rectangle has side lengths 5, 4, 5, 4. The larger rectangle has side lengths 10, 8, 10, 8.
Which transformation maps the pre-image to the image?

dilation
reflection
rotation
translation

Find the value of x. give reasons to justify your solutions! c ∈ ae

Statements reasons 1. ab ? cd; ad ? bc 1. given 2. ac ? ac 2. reflexive property 3. ? adc ? ? cba 3. ? 4. ? dac ? ? bca; ? acd ? ? cab 4. cpctc 5. ? dac and ? bca are alt. int. ? s; ? acd and ? cab are alt. int. ? s 5. definition of alternate interior angles 6. ab ? cd; ad ? bc 6. converse of the alternate interior angles theorem 7. abcd is a parallelogram 7. definition of parallelogram what is the missing reason in step 3?

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i