75.9k views
4 votes
Please help and I need you to explain why but I’m the simplest way possible :)

Please help and I need you to explain why but I’m the simplest way possible :)-example-1
User Shadow
by
6.3k points

1 Answer

4 votes

Answer:

Parallelogram

Explanation:

Observation 1:

the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus

Observation 2:

the opposite sides are congruent

AB=CD=√53, and BC=DA=√68

Observation 3:

lines that have the same slope are parallel so opposite sides are also parallel

slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2

so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not

Observation 4:

lines that are perpendicular form 90° and their slope is negative reciprocal.

AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram

User Cnikolaou
by
7.6k points