Question

1. a(n) __ is a part of a line consisting of two points, called __, and the set of all points between them.

a. ray; endpoints
b. line segment; midpoints
c. vertex; midpoints
d. line segment; endpoints
e. endpoint; line segments

1. a(n) ____ is a set of points that extend indefinitely in both directions, and it has length, but no depth or width.

a. plane
b. angle
c. line segment
d. ray
e. line

1. identify what each of the following represents: $overline{ab}$; $overrightarrow{de}$; and $angle mno$

a. $overline{ab}$ is a line, $overrightarrow{de}$ is a line segment, and $angle mno$ is an angle.
b. $overline{ab}$ is a ray, $overrightarrow{de}$ is a line segment, and $angle mno$ is an angle.
c. $overline{ab}$ is a line segment, $overrightarrow{de}$ is a line, and $angle mno$ is an angle.
d. $overline{ab}$ is a line segment, $overrightarrow{de}$ is a line, and $angle mno$ is an angle.
e. $overline{ab}$ is an angle, $overrightarrow{de}$ is a line, and $angle mno$ is a ray.

1. if an obtuse angle is bisected, are the resulting smaller angles acute, right, or obtuse?

a. acute
b. right
c. obtuse
d. all of the above
e. none of the above

1. complete the following sentence and determine the property being described: any quantity is ____ itself: $a = a$.

a. equal to; transitive property
b. equal to; reflexive property
c. substituted for; substitution property
d. subtracted from; subtraction property
e. multiplied by; multiplication property

Explanation:

• 6: A line - segment has two endpoints.
• 7: A line extends infinitely in both directions.
• 8: $\overline{AB}$ is a line - segment, $\overrightarrow{DE}$ is a ray, $\angle MNO$ is an angle.
• 9: An obtuse angle ($>90^{\circ}$) bisected gives two acute angles ($<90^{\circ}$).
• 10: $a = a$ is the reflexive property.

Answer:

• 6. D. line segment; endpoints
• 7. E. line
• 8. None of the given options are correct (correct is $\overline{AB}$ is line - segment, $\overrightarrow{DE}$ is ray, $\angle MNO$ is angle)
• 9. A. acute
• 10. B. equal to; Reflexive Property