Mathematics, 18.07.2021 17:10 andrecoral105
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
A parallelogram graphed on a coordinate plane. The vertices of rectangle are labeled as K L M and N. The vertex labeled as K lies on begin ordered pair 0 comma 0 end ordered pair. The vertex labeled as L lies on begin ordered pair x comma 2 y end ordered pair. The coordinate of vertex M is left blank. The vertex labeled as N lies on begin ordered pair 3 x comma 0 end ordered pair. A diagonal is drawn between points K and M.
Enter your answers in the boxes to complete Lucinda's proof.
Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x, 2y).
In ā³KMN, the length of the base is and the height is . So an expression for the area of ā³KMN is .
In ā³KLM, the length of the base is 3x and the height is 2y. So an expression for the area of ā³KLM is .
Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Answers: 2
Mathematics, 21.06.2019 22:20
The figure shows triangle def and line segment bc, which is parallel to ef: triangle def has a point b on side de and point c on side df. the line bc is parallel to the line ef. part a: is triangle def similar to triangle dbc? explain using what you know about triangle similarity. part b: which line segment on triangle dbc corresponds to line segment ef? explain your answer. part c: which angle on triangle dbc corresponds to angle f? explain your answer. asap
Answers: 3
Mathematics, 22.06.2019 00:00
As a salesperson you get $50/day and $3.60/each sales you make.if you want to make $60 in one day, how many sales would you need need to make ? a 3b 4c 5d 6 show work.
Answers: 1
Mathematics, 22.06.2019 00:00
Astocks price gained 3% in april and 5% in may and then lost 4% in june and 1% in july during which month did the stocks price change the most
Answers: 1
Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the para...
Mathematics, 30.07.2019 04:30
Mathematics, 30.07.2019 04:30
Chemistry, 30.07.2019 04:30
Mathematics, 30.07.2019 04:30
Mathematics, 30.07.2019 04:30
Social Studies, 30.07.2019 04:30
Spanish, 30.07.2019 04:30
Biology, 30.07.2019 04:30
History, 30.07.2019 04:30
Social Studies, 30.07.2019 04:30