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5. what are some acceptable ways to name an angle? 6. describe all of t…

Question

  1. what are some acceptable ways to name an angle?
  2. describe all of the acceptable ways to name a line.
  3. a. how many rays are in the figure below? name them.

b. how many different angles are in the figure? name them.

  1. describe the diagram below using correct geometric names.
  2. a. explain why plane jkl is not an appropriate name for the plane below.

b. give three names for the plane that would be appropriate.

  1. how can you use the figures in this activity to describe real - world objects and situations? give examples.

Explanation:

Response
7.
a.

Step1: Identify rays starting from point B

A ray has one - endpoint and extends infinitely in one direction. Rays in the figure starting from point B are $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{BD}$.

Step1: Recall the definition of an angle

An angle is formed by two rays with a common endpoint. The angles with vertex B are $\angle ABC$, $\angle CBD$, $\angle ABD$.

Step1: Name the lines and their intersection

Line $\overleftrightarrow{PR}$ and line $\overleftrightarrow{TS}$ intersect at point Q.

Answer:

There are 3 rays: $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{BD}$

b.