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kuta software - infinite geometry naming angles name the vertex and sid…

Question

kuta software - infinite geometry
naming angles
name the vertex and sides of each angle.
1)
2)
3)
4)
name each angle in four ways.
5)
6)
7)
8)

Explanation:

Step1: Identify vertex

The vertex of an angle is the common - endpoint of the two rays that form the angle.

Step2: Identify sides

The sides of an angle are the two rays that meet at the vertex.

Step3: Name angles in four ways

We can name an angle by the vertex letter (when there is only one angle at that vertex), by the three - point naming convention (with the vertex in the middle), and by the number or symbol assigned to the angle.

Answer:

1.

  • Vertex: $M$
  • Sides: $\overrightarrow{MN}$, $\overrightarrow{ML}$

2.

  • Vertex: $D$
  • Sides: $\overrightarrow{DC}$, $\overrightarrow{DE}$

3.

  • Vertex: $R$
  • Sides: $\overrightarrow{RQ}$, $\overrightarrow{RS}$

4.

  • Vertex: $T$
  • Sides: $\overrightarrow{TS}$, $\overrightarrow{TU}$

5.

  • $\angle EDC$, $\angle CDE$, $\angle 3$, $\angle D$

6.

  • $\angle EFG$, $\angle GFE$, $\angle 4$, $\angle F$

7.

  • $\angle EFG$, $\angle GFE$, $\angle 1$, $\angle F$

8.

  • $\angle JIH$, $\angle HIJ$, $\angle 3$, $\angle I$