Look at the quadrilateral shown below

Clara writes the following proof for the theorem if the diagonals of a quadrilateral bisect each other the quadrilateral is a paralelogram

Ciara's proof

1. For triangles AOB and COD, angle 1 is equal to angle 2 as they are vertical angles
2. AO = OC and BO = OD because it is given that diagonals bisect each other
3. The triangles AOB and COD are congruent by SAS postulate
4. Similarly, triangles AOD and COB are congruent 5. By angle ABD is equal angle CDB and angle ADB is equal to angle CBD
6. As the alternate interior angles are congruent, the opposite sides of quadrilateral ABCD are parallel
7. Therefore ABCD is a parallelogram

Which is the missing phrase in Ciara's proof?

A) CPCTC
B) property of parallelograms
C) transitive property
D) vertical angles theorem

Adoctor administers a drug to a 38-kg patient, using a dosage formula of 50 mg/kg/day. assume that the drug is available in a 100 mg per 5 ml suspension or in 500 mg tablets. a. how many tablets should a 38-kg patient take every four hours? b. the suspension with a drop factor of 10 ggt/ml delivers the drug intravenously to the patient over a twelve-hour period. what flow rate should be used in units of ggt/hr? a. the patient should take nothing pills every four hours. (type an integer or decimal rounded to the nearest hundredth as needed.)

Mama mia restaurant used 1 2 2 1 ? of their mozzarella cheese making pizza and the remaining 6 4 64 ounces making pasta. how many pounds of mozzarella cheese did mama mia start with?

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool.suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?