Question

name midday muoz culpe period 1. place the correct definition with each word. angle__ parallel perpendicular circle segment a. two coplanar lines that are always equidistant apart and never intersect. b. two intersecting lines that form one 90 - degree angle c. two lines, segments or rays that share a common endpoint d. a piece of a line between two endpoints e. a set of points equidistant from a given point 2. use the following image to fill in the blanks name a ray on line n what is another name for line l name a segment on line n name 2 of the three angles 3. match the term to the choices below using the picture above angle segment parallel lines perpendicular lines__ a. df b. l, m c. p, l d. ecd 4. which of the following statements describes the following transformation? a. reflection over x = 1 b. reflection over x = 0 c. reflection over y = 1 d. rotation ccw 90 e. translation (x,y)→(x - 4,y)

Explanation:

Step1: Define geometric terms

Angle: C. Two lines, segments or rays that share a common endpoint.
Parallel: A. Two coplanar lines that are always equidistant apart and never intersect.
Perpendicular: B. Intersecting lines that form one 90 - degree angle.
Circle: E. A set of points equidistant from a given point.
Segment: D. A piece of a line between two endpoints.

Step2: Identify geometric elements from the image

Name a Ray on Line n: For example, $\overrightarrow{AC}$. (There are multiple correct answers depending on the direction).
Another name for line l: There are no other given names in the problem - if we assume naming by two points on the line, it could be named by any two points on it.
Name a Segment on line n: For example, $\overline{AC}$.
Name 2 of the three Angles: $\angle ECD$, $\angle BCF$ (answers may vary depending on how angles are named in the figure).

Step3: Match terms to choices

Angle: d. ECD
Segment: a. DF
Parallel Lines: b. l, m
Perpendicular Lines: c. p, l

Step4: Analyze the transformation

If we consider the transformation of the triangle in the coordinate - plane, we can observe that the transformation is a reflection over x = 1. When we reflect a point (x,y) over the line x = a, the formula is (2a - x,y). Here a = 1. For example, if we take a point (x,y) on the original triangle and its corresponding point on the new triangle, we can see that the x - coordinate changes according to the reflection over x = 1 rule.

Answer:

1. Angle: C; Parallel: A; Perpendicular: B; Circle: E; Segment: D
2. Ray on Line n: $\overrightarrow{AC}$ (example); Another name for line l: Varies; Segment on line n: $\overline{AC}$ (example); Two Angles: $\angle ECD$, $\angle BCF$ (example)
3. Angle: d; Segment: a; Parallel Lines: b; Perpendicular Lines: c
4. a. Reflection over x = 1