To determine which statements are true without the picture, we would typically need to analyze the geometric relationships depicted in the image. Based on standard properties of geometry, let's analyze the statements based on common relationships:
- CD = AD - This indicates that segments CD and AD are equal.
- AC = CB - This indicates that segments AC and CB are equal.
- AD = CB - This indicates that segments AD and CB are equal.
- BD = BC - This indicates that segments BD and BC are equal.
Without the picture, I cannot definitively identify the correct statement. However, if we consider relationships such as segments being equal in certain geometric configurations (like isosceles triangles, parallel lines, etc.), we might lean towards certain conclusions.
For the second part of the question regarding which theorem applies:
- Vertical Angle Theorem relates to angles opposite to each other when two lines intersect, stating they are equal.
- Perpendicular Bisector Theorem pertains to segments that are bisected perpendicularly.
- Alternate Interior Angle Theorem deals with angles formed when a transversal crosses two parallel lines, indicating relationships between those angles.
- Triangle Inequality Theorem describes the relationship between the lengths of sides of a triangle.
Without the visual, it's exceedingly difficult to ascertain which theorem fits the best with the statements provided.
If you can provide more context about the arrangement of the segments or angles in the picture, I could offer better guidance on which statement might be true and which theorem is applicable.
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