Question

naming angles using three points
use all the three points and name each angle.
1)
2)
3)
4)
5)
6)
7)
8)
9)
10)
11)
12)

Explanation:

Step1: Recall the rule for naming angles

When naming an angle using three points, the vertex point is in the middle.

Step2: Apply the rule to each figure

1. For the first figure with points \(X\), \(Y\), \(Z\), the vertex is \(Y\). So the angle is \(\angle XYZ\).
2. For the second figure with points \(P\), \(O\), \(S\), the vertex is \(O\). So the angle is \(\angle POS\).
3. For the third figure with points \(V\), \(U\), \(T\), the vertex is \(U\). So the angle is \(\angle VUT\).
4. For the fourth figure with points \(B\), \(C\), \(D\), the vertex is \(C\). So the angle is \(\angle BCD\).
5. For the fifth figure with points \(L\), \(K\), \(J\), the vertex is \(K\). So the angle is \(\angle LKJ\).
6. For the sixth figure with points \(F\), \(G\), \(H\), the vertex is \(G\). So the angle is \(\angle FGH\).
7. For the seventh figure with points \(S\), \(T\), \(U\), the vertex is \(T\). So the angle is \(\angle STU\).
8. For the eighth figure with points \(E\), \(F\), \(G\), the vertex is \(F\). So the angle is \(\angle EFG\).
9. For the ninth figure with points \(A\), \(B\), \(C\), the vertex is \(B\). So the angle is \(\angle ABC\).
10. For the tenth figure with points \(D\), \(E\), \(F\), the vertex is \(E\). So the angle is \(\angle DEF\).
11. For the eleventh figure with points \(W\), \(X\), \(Y\), the vertex is \(X\). So the angle is \(\angle WXY\).
12. For the twelfth figure with points \(N\), \(M\), \(L\), the vertex is \(M\). So the angle is \(\angle NML\).

Answer:

1. \(\angle XYZ\)
2. \(\angle POS\)
3. \(\angle VUT\)
4. \(\angle BCD\)
5. \(\angle LKJ\)
6. \(\angle FGH\)
7. \(\angle STU\)
8. \(\angle EFG\)
9. \(\angle ABC\)
10. \(\angle DEF\)
11. \(\angle WXY\)
12. \(\angle NML\)