227k views
0 votes
6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1),

C(1,6), and D(-2, 3), determine if it is a parallelogram.

1 Answer

9 votes

Answer:

it is a parallelogram

Explanation:

so first plot out points and then you find the slope for each of the corresponding lines.

First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.

Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.

Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.

finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.

in conclusion there are two sets of parallel lines so you have a parallelogram

6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1), C(1,6), and D(-2, 3), determine-example-1
6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1), C(1,6), and D(-2, 3), determine-example-2
6. Given that ABCD is a quadrilateral with A(-2,-2), B(1, 1), C(1,6), and D(-2, 3), determine-example-3
User Pampeho
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories