Distance on a Coordinate Plane

Using the coordinate plane, match the equations to the distances between the listed points.

• The distance between A and C.

• The distance between B and C.

• The distance between A and B.

Carter made a map of his neighborhood on a coordinate plane and located his house at the point (-8, -7). Izabella lives 9 miles away from Carter.

Izabella's house and Carter's house have the same x-coordinates but are in different quadrants. Plot two points on the coordinate plane to represent Izabella's house and Carter's house.

Izabella's house is located at (-8, 2). Sam lives 12 miles away from Izabella.

Izabella's house and Sam's house have the same y-coordinates but are in different quadrants. Plot two points on the coordinate plane to represent Izabella's house and Sam's house.

Use the graph to answer the following question.

What is the distance between Shannon Ranch and Starbucks?

Mathematical Equivalence

ON

Use the coordinate plane to determine whether each statement about the vertices (points) of the triangles is true or false.

(Select ALL of the statements that are TRUE.)

Using the coordinate plane to answer the questions. Each unit on this coordinate plane represents 1 kilometer. Nathan rode his bike from his house to Dylan's house. How many kilometers did he ride his bike?

• -5 kilometers

• 5 kilometers

• 9 kilometers

• 10 kilometers

If Nathan adds the y-coordinates for the points of Dylan's and Gio's houses, plus the x-coordinates of his and Dylan's houses, he will get the total distance that he rode.

Which equation could be used to find the total distance Nathan traveled on his bike?

Julian moves into a house that is 12 kilometers west of Gio's house and 9 kilometers north of Nathan's house. Identify the location of Julian's new house.

Use the coordinate plane to determine whether each statement about the coordinates is true or false.

(Select ALL of the statements that are TRUE.)

• Shannon Ranch is located directly across the y-axis from In-n-Out and is on the same y-coordinate as In-n-Out.

• The distance between Starbucks and Green Acres MS is equal to the distance between Riverway Sports Park and In-n-Out.

• Shannon Ranch is further from Starbucks than it is from In-n-Out.

• y-coordinates
• in the same quadrant
• subtract
• 5 units
• not correct
• x-coordinates
• in different quadrants
• add
• 10 units
• correct