Name _______________________________________
Date __________________
Hour ___________
Problem 1.2 Shapes on a Coordinate Grid
Focus Question: How do the coordinates of endpoints of a segment help draw other lines, which are
parallel or perpendicular to the segment?
The Euclid City Council is developing parks with geometric shapes. For some of the parks, the council gives
the part designers constraints. For example, Descartes Park must have corners at vertices (1, 1) and (4, 2).
A.
1. Suppose the park is a square. What could the coordinates of the other two vertices be? Give two
answers.
2. How do you know your park is a square?
B.
1. Suppose the park is a rectangle that is not a square. What could the coordinates of the other two
vertices be? Give two answers.
2. How do you know your park is a rectangle?
Looking For Pythagoras
Investigation 1: Coordinate Grids
C.
1. Suppose the park is a right triangle. What could the coordinates of the other vertex be? Give two
answers.
2. How do you know your park is a right triangle?
D.
1. Suppose the park is a parallelogram that is not a rectangle. What could the coordinates of the
other two vertices be? Give two answers.
2. How do you know your park is a parallelogram?
Looking For Pythagoras
Investigation 1: Coordinate Grids