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6th grade

Course: 6th grade > Unit 9

Lesson 3: Polygons on the coordinate plane
Math
6th grade
Coordinate plane
Polygons on the coordinate plane
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Quadrilateral problems on the coordinate plane

Google Classroom
Try five problems involving quadrilaterals on the coordinate plane.

Problem 1: Find coordinates of missing vertex

The coordinates of three of the vertices of rectangle ABCD are A(2,1),B(5,1), and C(5,6).
What are the coordinates of point D?
(
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
,
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
)

Problem 2: Area of parallelogram on coordinate plane

Find the area of the parallelogram plotted below.
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
units2

Problem 3: Dimensions of rectangle from coordinates

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(7,1),B(5,1), C(5,6), and D(7,6).
Given these coordinates, what is the length of side AD of this rectangle?
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0.75
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
units

Problem 4: Coordinates of rectangle

Sort the following expressions from least to greatest based on the coordinates of the rectangle below.
1

Bonus problem: Parallelogram on the coordinate plane

You are graphing quadrilateral ABCD in the coordinate plane. The length of segment AB is the same as the length of segment DC, and both segments are horizontal. The following are three vertices of the quadrilateral: A(1,1), C(4.5,4), and D(−1.5,4). All you know about point B is that it is in the first quadrant.
What are the coordinates of point B?
(
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
,
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
)

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