To name an angle using three points, you follow these rules:
1. Identify the
vertex (the corner point where the two lines meet). This letter always goes in the
middle.
2. Pick one point from each of the two arms (lines) extending from the vertex. These go on the outside.
3. Write the three letters together. You can usually write them in either direction (clockwise or counter-clockwise), as long as the vertex is in the center.
Here is the step-by-step solution for each problem:
1) The vertex is $C$. The other points are $A$ and $B$.
* Name: $\angle ACB$ or $\angle BCA$
2) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
3) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
4) The vertex is $C$. The other points are $A$ and $B$.
* Name: $\angle ACB$ or $\angle BCA$
5) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
6) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
7) The vertex is $B$. The other points are $A$ and $C$.
* Name: $\angle ABC$ or $\angle CBA$
8) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
9) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
10) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
11) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
12) The vertex is $Y$. The other points are $X$ and $Z$.
* Name: $\angle XYZ$ or $\angle ZYX$
Final Answer:
1) $\angle ACB$
2) $\angle XYZ$
3) $\angle XYZ$
4) $\angle ACB$
5) $\angle XYZ$
6) $\angle XYZ$
7) $\angle ABC$
8) $\angle XYZ$
9) $\angle XYZ$
10) $\angle XYZ$
11) $\angle XYZ$
12) $\angle XYZ$
Parent Tip: Review the logic above to help your child master the concept of angles worksheets.
