Ab = x + 2
dc = 22 − x
ad = 6 + y
bc = 3y
quadrilateral abcd is a parallelogram if both pairs of opposite sides are congruent. show that quadrilateral abcd is a parallelogram by finding the lengths of the opposite side pairs.
a) 6, 3
b) 9, 6
c) 12, 6
d) 12, 9

Option D) 12, 9

Step-by-step explanation:

we know that

In a parallelogram opposite side are parallel and congruent

so

In the parallelogram ABCD

opposite sides are

AB and DC

BC and AD

so

AB=CD

BC=AD

step 1

Find the value of x

AB=DC

substitute the values

solve for x

step 2

Find the value of side AB

substitute the value of x

step 3

Find the value of y

BC=AD

substitute the values

solve for y

step 4

Find the value of BC

substitute the value of y

therefore

The length of the opposite side pairs are 12 and 9

i do not know this sorry : (

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.