Question

question 5 (1 point(s))
this is a portion of a line which starts at a point and goes off in a particular direction to infinity
a) angle
b) ray
c) vertex
question 6 (1 point(s))
name the vertex.
diagram: a horizontal segment with left arrow (labeled n at left, m at right) and a segment from m upward with arrow (labeled l at top)
a) l
b) m
c) n
question 7 (1 point(s))
what type of angle is the image below?
diagram: a vertex with two rays (one vertical upward, one slanting downward)
a) acute
b) obtuse

Explanation:

Question 5

A ray is defined as a portion of a line that starts at a point (the endpoint) and extends infinitely in one direction. An angle is formed by two rays with a common endpoint, and a vertex is the common endpoint of two rays forming an angle. So the correct option is the one that matches the definition of a ray.

In an angle (formed by two rays), the vertex is the common endpoint of the two rays. In the given diagram, the two rays are \( \overrightarrow{NM} \) and \( \overrightarrow{ML} \), and their common endpoint is \( M \). So the vertex is \( M \).

An acute angle is less than \( 90^\circ \), and an obtuse angle is greater than \( 90^\circ \) but less than \( 180^\circ \). From the diagram (assuming the angle is greater than \( 90^\circ \)), the angle is obtuse.

Answer:

B) ray

Question 6