Answered

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Match the vocabulary word with the correct definition.

1. Lateral face [tex]$\square$[/tex] Any face that is not a base.

2. Edge [tex]$\square$[/tex] Line segment where two faces meet.

3. Base of a solid [tex]$\square$[/tex] A special face of a solid figure.

4. Face [tex]$\square$[/tex] A plane figure that is one side of a solid figure.

5. Vertices [tex]$\square$[/tex] Points where three or more faces intersect.

6. Euler's formula [tex]$\square$[/tex] The relationship among the number of faces, vertices, and edges of a solid: [tex]$V + F = E + 2$[/tex].

Sagot :

GinnyAnsweridn
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]
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