Question

The Surry County​ sheriff's patrol route starts in Coby. The composition of rigid motions Upper T Subscript left angle negative 20 comma 10 right angle Baseline circle Upper T Subscript left angle 40 comma negative 50 right angle describes her route. Describe the​ sheriff's route in words.
.
.
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Question content area right
Part 1
The sheriff drives
  
enter your response here miles
▼
east
west
and
  
enter your response here miles
▼
south
north
from Coby to
▼
Medon.
Dallinger.
Byder.
Lotan.
Then she drives
  
enter your response here miles
▼
west
east
and
  
enter your response here miles
▼
south
north
to
▼
Medon.
Byder.
Coby.
Lotan.
Dallinger.
​(Type whole​ numbers.)

Answer 1

To describe the sheriff's route based on the rigid motions you provided, let's first analyze the points given:

1. The starting point is Coby.
2. The first point is T(-20, 10).
3. The second point is T(40, -50).

Now, let's determine the movements in terms of distance and direction:

- **From Coby to T(-20, 10)**:
- The movement is from an unknown starting point (Coby) to a point located at (-20, 10). Since we don’t have Coby’s coordinates, but we can infer the general movements:
- Assume Coby is at an arbitrary starting point where the x and y coordinates allow for movement to negative values.
- The sheriff moves **20 miles west** (to the left on the x-axis) and **10 miles north** (up on the y-axis).

- **From T(-20, 10) to T(40, -50)**:
- The sheriff moves from (-20, 10) to (40, -50).
- The x-coordinate changes from -20 to 40, which is a movement of 60 miles east (40 - (-20) = 60).
- The y-coordinate changes from 10 to -50, which is a movement of 60 miles south (10 - (-50) = 60).

Now combining this information, we can fill in the blanks as follows:

1. The sheriff drives **20 miles** **west** and **10 miles** **north** from Coby to **T(-20, 10)** (we will mark this stop as either Medon, Dallinger, Byder, Lotan based on your choice).

2. Then she drives **60 miles** **east** and **60 miles** **south** to **T(40, -50)** (we will mark this stop as either Medon, Byder, Coby, Lotan, Dallinger based on your choice).

Please fill in the route by substituting the distances and choosing the destinations as per your requirement!