The figure below shows a quadrilateral abcd. sides ab and dc are equal and parallel: a quadrilateral abcd is shown with the opposite sides ab and dc shown parallel and equal a student wrote the following sentences to prove that quadrilateral abcd is a parallelogram: side ab is parallel to side dc so the alternate interior angles, angle abd and angle cdb, are congruent. side ab is equal to side dc and db is the side common to triangles abd and bcd. therefore, the triangles abd and bcd are congruent by sas postulate. by cpctc, angles dbc and adb are congruent and sides ad and bc are congruent. angle dbc and angle adb therefore, ad is parallel and equal to bc. quadrilateral abcd is a parallelogram because its opposite sides are equal and parallel. which phrase best completes the student's proof? are congruent by the aas postulate are congruent by the asa postulate form a pair of alternate interior angles which are congruent form a pair of vertical angles which are congruent

To prove ABCD is a parallelogram, the phrase that completes the proof is "Angle DBC and angle ADB form a pair of alternate interior angles which are congruent"

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel.

AB || DC and AB=DC as given. We only need to show AD || BC and AD=BC So, by congruency properties AD=BC is shown. And for showing AD || BC pair of alternate interior angles should be equal.

Hence, Phrase C : 'Angle DBC and angle ADB form a pair of alternate interior angles which are congruent' completes the proof.

because they could drop even lower..

the most boring ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.