Algebra: Unit 8

Unit 8 – Item 2

Both Hank and his sister leave the house going to two different places. Their house is 3 blocks east and then 2 blocks south from his house to the movie theater and 5 blocks west then 3 blocks north from the skating rink.

Unit 8 – Item 3

A city is planning to design a new park, which will include a rectangular playground, a triangular garden, and a walkway that is perpendicular to one of the playground's sides. The playground's location and dimensions, as well as the garden's vertices, are provided on a coordinate plane.

Use the graph and information below as needed to answer the following questions.

Playground:

• Coordinates of one corner: (2,3)

• Length along the x-axis: 6 units

• Width along the y-axis: 4 units

Triangular Garden:

• Vertices: A(8,2), B(10,6), C(12,2)

Walkway:

• The walkway starts at (8,2) and extends to the line segment BC, going through the

garden and being perpendicular to BC.

Unit 8 - Item 4

David is planning a garden in his backyard, and he wants to incorporate various features in the space. He's using mathematical concepts to plan the layout efficiently. David wants to create a garden path that connects two points in his backyard. He needs to determine the length of the path.