To solve the problem, we need to identify and write the missing representations of each angle based on the given diagrams. Let's go through each part step by step.
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Part 1: Write the missing representation of each angle
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1.
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Given: ∠XYZ
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Missing Representation: ∠ZYX
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2.
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Given: ∠CDX
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Missing Representation: ∠XDC
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3.
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Given: ∠JLM
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Missing Representation: ∠MLJ
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4.
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Given: ∠EGF
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Missing Representation: ∠FGE
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5.
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Given: ∠QPR
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Missing Representation: ∠RPQ
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6.
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Given: ∠MNL
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Missing Representation: ∠LNM
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7.
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Given: ∠SCB
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Missing Representation: ∠BCS
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Explanation:
In geometry, an angle can be represented in multiple ways depending on its vertices. The general rule is that the vertex (the point where the two rays meet) must always be the middle letter when naming the angle. For example:
- If we have an angle with vertices \( X \), \( Y \), and \( Z \), it can be written as:
- ∠XYZ (with \( Y \) as the vertex)
- ∠ZYX (with \( Y \) still as the vertex)
Thus, for each angle given, we simply rearrange the letters so that the vertex remains in the middle.
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Final Answer:
\[
\boxed{
\begin{array}{ll}
1. & \text{∠ZYX} \\
2. & \text{∠XDC} \\
3. & \text{∠MLJ} \\
4. & \text{∠FGE} \\
5. & \text{∠RPQ} \\
6. & \text{∠LNM} \\
7. & \text{∠BCS} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of label angles worksheet.