Question

learning goal: i can dein
point, line, and distance along a line:
perpendicular lines. (standard g - co.a.1)
explain 1
naming angles and parts of an a
read explain 1 and complete your turn #1 - 2 (adapted from lesson 1.2).
an angle is a figure formed by two rays with the same endpoint. the common en
the rays are the sides of the angle.
example draw or name the given angle.
the angle can be named as $\angle lkj$, $\angle jkl$, $\angle 1$, $\angle k$
your turn

1. name $\angle 2$ in many different ways as possible.
2. without seeing a figure, give another name for $\angle mkg$.

Explanation:

• For naming an angle, we can use the vertex letter (if there is only one angle at that vertex), a number assigned to the angle, or three - letter notation (with the vertex letter in the middle).
• In the case of \(\angle2\):
• Using three - letter notation: The vertex is \(E\), and the two rays are \(EA\) and \(EB\). So, we can write \(\angle AEB\) (the vertex \(E\) is in the middle).
• Using the vertex letter: Since there are multiple angles at vertex \(E\) (\(\angle2\), \(\angle3\), \(\angle4\)), we cannot use just \(E\) to name \(\angle2\).
• Using the number: We are already given \(\angle2\) as one of the names.
• For \(\angle MKG\):
• By the rule of naming angles with three - letter notation (vertex in the middle), another name is \(\angle GKM\) (we just reverse the order of the non - vertex letters while keeping the vertex letter in the middle).

Answer:

1. \(\angle AEB\), \(\angle BEA\) (three - letter notations).
2. \(\angle GKM\)