Question

competency being assessed: congruence in geometry directions: answer the following questions using the diagram below. 1. give another name for ∠5 2. name the sides of ∠fbe 3. name the vertex of ∠1. 4. define each angle and name an example from the diagram. acute- name an acute angle: obtuse- name an obtuse angle: straight- name a straight angle: 5. if m∠2 = 90°, then what kind

Explanation:

Step1: Identify alternative angle naming

An angle can be named by the vertex with the angle number. So another name for $\angle5$ is $\angle FBC$.

Step2: Determine angle sides

The sides of $\angle FBE$ are rays $\overrightarrow{BF}$ and $\overrightarrow{BE}$.

Step3: Locate the vertex

The vertex of $\angle1$ is point $B$.

Step4: Define and name angles

• Acute - An acute angle is an angle whose measure is between $0^{\circ}$ and $90^{\circ}$. An example is $\angle4$.
• Obtuse - An obtuse angle is an angle whose measure is between $90^{\circ}$ and $180^{\circ}$. An example is $\angle FBE$.
• Straight - A straight angle is an angle whose measure is $180^{\circ}$. An example is $\angle FBD$.

Step5: Analyze angle type

If $m\angle2 = 90^{\circ}$, then $\angle2$ is a right - angle.

Answer:

1. $\angle FBC$
2. Rays $\overrightarrow{BF}$ and $\overrightarrow{BE}$
3. Point $B$
4. Acute: An angle between $0^{\circ}$ and $90^{\circ}$, $\angle4$; Obtuse: An angle between $90^{\circ}$ and $180^{\circ}$, $\angle FBE$; Straight: An angle of $180^{\circ}$, $\angle FBD$
5. Right - angle