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Answer:
1a. A, C
1b. A, B
2. corresponding points on similar figures are on the same line through the center of dilation
3. corresponding angles in similar figures are congruent
Explanation:
1. Your image is distorted, so it is not easy to draw a "straight" line on the provided graphs.
In problem (a), the top corner of figure B at lower right does not line up with the corresponding corners of figures A and C. Figure B is not similar to the other two.
In problem (b), the corners of figure C do not line up with the corners of figures A and B. Figure C is not similar to the other two.
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2. Corresponding corners of similar figures will be on the same line through the center of dilation. If a "corresponding" point is not on the line, then the figure is not similar.
We examined lines through corresponding points to see if they went through the center of dilation. If a line does not do that, then the figures are not similar. By looking at (two) pairs of figures we can determine which is not similar to the others.
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3. The usual properties of interest for similar figures are ...
- corresponding sides are proportional
- corresponding angles are congruent
For dilated figures, the sides will be proportional if corresponding end points are on the same line through the center of dilation and the corresponding sides are parallel.