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, 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 ray, and $angle mno$ is a plane.
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:

1. A line - segment is a part of a line with two endpoints and all the points between them.
2. A line is a set of points that extend indefinitely in both directions, having length but no depth or width.
3. $\overline{AB}$ represents a line - segment, $\overleftrightarrow{DE}$ represents a line, and $\angle MNO$ represents an angle.
4. An obtuse angle is between 90° and 180°. When bisected, the resulting angles are less than 90° (acute).
5. The statement $a = a$ represents the reflexive property where any quantity is equal to itself.

Answer:

1. D. line segment, endpoints
2. E. line
3. C. $\overline{AB}$ is a line segment, $\overleftrightarrow{DE}$ is a line, and $\angle MNO$ is an angle.
4. A. acute
5. B. equal to; Reflexive Property