Naming Angles using Three Points - Worksheet with 12 angle diagrams for practice.

To name an angle using three points, you follow these rules:
1. Identify the vertex: This is the corner point where the two lines meet. It is always the middle letter in the name.
2. Identify the other two points: These are points on the arms (sides) of the angle. They can be written in either order as the first and last letters.

So, if the vertex is $B$ and the other points are $A$ and $C$, the angle can be named $\angle ABC$ or $\angle CBA$.

Let's solve each problem step-by-step:

1) The vertex is $C$. The other points are $A$ and $B$.
* Name: $\angle ACB$ or $\angle BCA$

2) The vertex is $M$. The other points are $L$ and $N$.
* Name: $\angle LMN$ or $\angle NML$

3) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$

4) The vertex is $R$. The other points are $S$ and $T$.
* Name: $\angle SRT$ or $\angle TRS$

5) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$

6) The vertex is $P$. The other points are $Q$ and $R$.
* Name: $\angle QPR$ or $\angle RPQ$

7) The vertex is $S$. The other points are $R$ and $T$.
* Name: $\angle RST$ or $\angle TSR$

8) The vertex is $Q$. The other points are $P$ and $R$.
* Name: $\angle PQR$ or $\angle RQP$

9) The vertex is $Q$. The other points are $P$ and $R$.
* Name: $\angle PQR$ or $\angle RQP$

10) The vertex is $T$. The other points are $S$ and $U$.
* Name: $\angle STU$ or $\angle UTS$

11) The vertex is $W$. The other points are $V$ and $X$.
* Name: $\angle VWX$ or $\angle XWV$

12) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$

Final Answer:
1) $\angle ACB$ or $\angle BCA$
2) $\angle LMN$ or $\angle NML$
3) $\angle XYZ$ or $\angle ZYX$
4) $\angle SRT$ or $\angle TRS$
5) $\angle XYZ$ or $\angle ZYX$
6) $\angle QPR$ or $\angle RPQ$
7) $\angle RST$ or $\angle TSR$
8) $\angle PQR$ or $\angle RQP$
9) $\angle PQR$ or $\angle RQP$
10) $\angle STU$ or $\angle UTS$
11) $\angle VWX$ or $\angle XWV$
12) $\angle XYZ$ or $\angle ZYX$