To accurately match the vocabulary words with their correct definitions, let's carefully go through each term one by one and pair them with the proper definition based on the provided solutions.
### 1. Lateral Face
- Definition: Any face that is not a base.
- Pairing: lateral face → any face that is not a base. This corresponds to:
- [tex]\( \boxed{3} \)[/tex] any face that is not a base
### 2. Edge
- Definition: Line segment where two faces meet.
- Pairing: edge → line segment where two faces meet. This corresponds to:
- [tex]\( \boxed{2} \)[/tex] line segment where two faces meet
### 3. Base of a Solid
- Definition: A special face of a solid figure.
- Pairing: base of a solid → special face of a solid figure. This corresponds to:
- [tex]\( \boxed{a \special face of a solid figure} \)[/tex]
### 4. Face
- Definition: A plane figure that is one side of a solid figure.
- Pairing: face → a plane figure that is one side of a solid figure. This corresponds to:
- [tex]\( \boxed{4} \)[/tex] a plane figure that is one side of a solid figure
### 5. Vertices
- Definition: Points where three or more faces intersect.
- Pairing: vertices → points where three or more faces intersect. This corresponds to:
- [tex]\( \boxed{5} \)[/tex] points where three or more faces intersect
### 6. Euler's Formula
- Definition: The relationship among the number of faces, vertices, and edges of a solid; [tex]\( V + F = E + 2 \)[/tex].
- Pairing: Euler's formula → the relationship among the number of faces, vertices, and edges of a solid; [tex]\( V + F = E + 2 \)[/tex]. This corresponds to:
- [tex]\( \boxed{6} \)[/tex] the relationship among the number of faces, vertices, and edges of a solid; V + F = E + 2
Thus, the correct matching of the vocabulary words and their definitions are:
1. lateral face [tex]\( \rightarrow \boxed{3} \)[/tex] any face that is not a base
2. edge [tex]\( \rightarrow \boxed{2} \)[/tex] line segment where two faces meet
3. base of a solid [tex]\( \rightarrow \boxed{a special face of a solid figure} \)[/tex]
4. face [tex]\( \rightarrow \boxed{4} \)[/tex] a plane figure that is one side of a solid figure
5. vertices [tex]\( \rightarrow \boxed{5} \)[/tex] points where three or more faces intersect
6. Euler's formula [tex]\( \rightarrow \boxed{6} \)[/tex] the relationship among the number of faces, vertices, and edges of a solid; [tex]\( V + F = E + 2 \)[/tex]
