Finding Distances Homework

Name: ______Class: ______Finding Distances Homework

Use the map below to find the flying distance in blocks between the two landmarks without using a ruler.

1. What is the distance from the Greenhouse to City Hall?

2. What is the distance from City Hall to the Police Station?

3. What is the flying distance from the Greenhouse to the Police Station?

1 Use the map below to find the flying distance in blocks between the two landmarks without using a ruler.

4. How does the distance from the Art Museum to the Gas Station compare to the distance from the Cemetery to the Animal Shelter? Show work or explain.

5. Compare the distances between the Police Station and the Stadium and then Police Station and the Art Museum. Which distance is longer and by how much? Show work or explain.

2 6. Two college roommates, Harry and Niall, leave college at the same time. Harry travels south at 30 miles per hour and Niall travels west at 40 miles per hour. How far apart are they at the end of one hour and thirty minutes?

Spiral: a and b represent the legs of a right triangle, and c represents the hypotenuse. Find the missing side. If the answer is not an integer, then round to the nearest tenth. 7. a = 20, c = 25

8. In an isosceles triangle, each of the equal sides is 26 centimeters long and the base is 20 centimeters long. Find the area. (Hint: first draw the altitude to the base.)

9. If a rectangle has a diagonal of 20 feet and a side of 12 feet, find the perimeter and area of the rectangle.

3 1. Zach plots the following points in a coordinate plane: R (1, -4), S (-5, 0), and T (5, 2). He joins the following points to form . Is the triangle an Isosceles triangle? Explain.

–8 –7 –6 –5 –4 –3 –2 –1 1 2 3 4 5 6 7 8 x –1

4 2. Is a right triangle? Explain.