Geometry

Question Analysis
This question focuses on determining the similarity of two triangular pyramids.
It requires analyzing both the similarity of the base triangles and the relationship between the heights of the two pyramids.
The main focus is on ensuring that all corresponding linear dimensions (sides of the base and height) are in proportion.

Key Concept Explanation
For two triangular pyramids to be similar, not only must their base triangles be similar (with corresponding side - length ratios equal), but also the ratio of the heights of the two pyramids must be the same as the ratio of the corresponding side lengths of the base triangles.

Step-by-Step Solution
Calculate the ratio of the corresponding side lengths of the base triangles:
For the first pair of sides: .
For the second pair: .
For the third pair:

Click "Show Answer" to reveal the answer and analysis