Question

use the map above to answer the following questions. the coordinates are represented on the grid with a unit of 2 miles.

1. what is the distance from the middle school to the pizza palace. ______ miles
2. if the coordinates representing the park, arcade, and middle school were connected, what polygon is formed?

______

1. what is the distance between the park and the arcade? ______
2. if you connect the vertices, what shape is formed? ______
3. what is the length (base) of the polygon? ______ miles
4. what is the height of the polygon? ______ miles

word bank:
square 5 10 14 4 7 parallelogram trapezoid 10 10 triangle 5 4

Explanation:

Step1: Identify coordinates of locations

Middle School: $(1, 4)$; Pizza Palace: $(-4, 4)$; Park: $(-6, -3)$; Arcade: $(-1, -3)$

Step2: Calculate distance (Middle-Pizza)

Horizontal distance on grid: $|1 - (-4)| = 5$ units. Multiply by 2 miles/unit: $5 \times 2 = 10$

Step3: Classify polygon (Park-Arcade-Middle)

3 points connect to form a 3-sided shape.

Step4: Calculate distance (Park-Arcade)

Horizontal distance on grid: $|-1 - (-6)| = 5$ units. Multiply by 2 miles/unit: $5 \times 2 = 10$

Step5: Classify 4-point polygon

Connect all 4 locations: opposite sides are parallel and equal.

Step6: Find base of 4-point polygon

Base (Park-Arcade) length: 10 miles (from Step4)

Step7: Find height of 4-point polygon

Vertical distance on grid: $|4 - (-3)| = 7$ units. Multiply by 2 miles/unit: $7 \times 2 = 14$

Answer:

1. 10 miles
2. triangle
3. 10 miles
4. parallelogram
5. 10 miles
6. 14 miles