Oct 15 Distance on the Coordinate Plane

Distance on the Coordinate Plane

Polygons and the Coordinate Plane

• Rectangles and squares are four-sided polygons with four right angles.

• In a rectangle, opposite sides are equal in length.

• A square is a special type of rectangle that has all four sides equal in length.

Multiple Choice

Can you guess the length of the shortest side of the rectangle?

• 3 units

• 4 units

• 9 units

• 2 units

Open Ended

How did you calculate the distance of the shortest side of the rectangle?

Yes, you can just count.

Most times, you will count correctly. But here is a second way. Yes, it is simple.

Same quadrants: change coordinates to absolute value then find the difference (-).


Different quadrants: change the coordinates to absolute value then find the sum (+).

Take one minute to memorize. You will write it down in the next slide.

Open Ended

How can you find the distance of two points on the coordinate plane?

What is the distance between A (5,-2) and B(5,4)? Different Quadrants

• Determine which coordinate is the same (x or y) and cross it out.

• Circle the number that is different in both coordinate pairs.

• Find the absolute value of each number (write an expression) |-2| |4|

• Find the sum. |-2| +|4|

• Distance=6

What is the distance between B(5,4) and C (8,4)? Same Quadrants

• Determine which coordinate is the same (x or y) and cross it out.

• Circle the number that is different in both coordinate pairs.

• Find the absolute value of each number (write an expression) |8| |5|

• Find the difference. |8|-|5|

• Distance=3

Practice

Plot two points that are 7 units from Point C and also share the same y-coordinate as Point  C.

Point C: (1, -4)

Multiple Select

Plot two points that are 7 units from Point C and also share the same y-coordinate as Point  C.
Point C: (1, -4)

What would the coordinates of the new points be?

• (8, -4)

• (-6, -4)

• (1, 3)

• (1, -11)

• (7, -4)

Practice

Plot two points that are 3 units from Point C and also share the same x-coordinate as Point  C.

Point C: (1, -4)

Multiple Select

Plot two points that are 3 units from Point C and also share the same x-coordinate as Point  C.
Point C: (1, -4)

What would the coordinates of the new points be?

• (1, -4)

• (1, -1)

• (1, -7)

• (1, 3)

• (4, -4)