If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Quadrilateral problems on the coordinate plane

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 A, B, C, D are A, left parenthesis, 2, comma, 1, right parenthesis, comma, B, left parenthesis, 5, comma, 1, right parenthesis, comma and C, left parenthesis, 5, comma, 6, right parenthesis.
What are the coordinates of point D?
left parenthesis
,
right parenthesis

Problem 2: Area of parallelogram on coordinate plane

Find the area of the parallelogram plotted below.
unitssquared

Problem 3: Dimensions of rectangle from coordinates

Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A, left parenthesis, 7, comma, 1, right parenthesis, comma, B, left parenthesis, 5, comma, 1, right parenthesis, comma C, left parenthesis, 5, comma, 6, right parenthesis, and D, left parenthesis, 7, comma, 6, right parenthesis.
Given these coordinates, what is the length of side A, D of this rectangle?
units

Problem 4: Coordinates of rectangle

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

Bonus problem: Parallelogram on the coordinate plane

You are graphing quadrilateral A, B, C, D in the coordinate plane. The length of segment A, B is the same as the length of segment D, C, and both segments are horizontal. The following are three vertices of the quadrilateral: A, left parenthesis, 1, comma, 1, right parenthesis, C, left parenthesis, 4, point, 5, comma, 4, right parenthesis, and D, left parenthesis, minus, 1, point, 5, comma, 4, right parenthesis. All you know about point B is that it is in the first quadrant.
What are the coordinates of point B?
left parenthesis
comma
right parenthesis

Want to join the conversation?

• how do you do the bonus problum?
• First, calculate the length of segment DC. X-axis of point D to C = -1.5 + s = 4.5 and y-axis of point D to C = 4+t=4. Then we got the length s is 6 and the length t is 0.
(Remember length in the segment is length between two-point. s and t is just a variable to represent the length in x-axis and y-axis of segment DC.)
Since the length of segment AB is the same as the length of segment DC---> X-axis of point A to B = 1 + 6 = j and Y-axis of point A to B = 1 + 0 = k ---> B(j , k) =B(7 , 1).
Sorry for my English. Hope this helps.
• why is the alphabet now on math
• the letters aren't considered as the alphabet in the problems they are just used to show the different points and they also use the letters to name the points so that you don't get confused.
• I did a unit test and it did not test all of the skills inside that unit (6th Grade Geometry). Why weren't all of the skills tested as it was supposed to be a unit test?
• Sometimes, there are not enough questions in the Unit Test to level you up in all of the skills. You might have to take the Unit Test more than once to reach your mastery goal.
• i just wanna say hello
• Im so confused.
• I need help with problem 2 pls :(
• This is a three-step problem.
Step 1: Count how many lines between the top left and the bottom left points. This will give you the length of the shape.
Step 2: Draw a line from the bottom right point down to the coordinate (6,-7). Label (6,-7) point X. The distance from the bottom-left point to point X is the perpendicular height.
Step three: Multiply the answers to step 1 and step 2 together. This will give you your total.
• So I got Problem one and four correct (and I don't really care 'bout the rest) And I wanna do the BONUS question but it's so confusing!!

How do you do it?
(1 vote)
• The only problem with this is that there is no way to show how to get the perimeter. I wish there were another video to show how to find the perimeter.
(1 vote)
• What's the formula for the bonus problem?
• There is no formula for the bonus problem but I can tell you how to do the problem, if that's what you were looking for?