subject
Mathematics, 21.07.2019 13:30 krojas015

Look at the quadrilateral shown below: a quadrilateral abcd is shown with diagonals ac and bd intersecting in point o. angle aob is labeled as 1, angle boc is labeled as 4, angle cod is labeled as 2, and angle aod is labeled as 3. clara writes the following proof for the theorem: if the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: clara'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 to 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 clara's proof?

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 12:30
Suppose investors can earn a return of 2% per 6 months on a treasury note with 6 months remaining until maturity. the face value of the t-bill is $10,000. what price would you expect a 6-month maturity treasury bill to sell for? (round your answer to 2 decimal places. omit the "$" sign in your response.)
Answers: 2
question
Mathematics, 21.06.2019 14:30
1. what is the formula for finding the vertical distance between two points on a coordinate plane?
Answers: 1
question
Mathematics, 21.06.2019 16:00
Question: what is the value of x 4x-2= (-7) +5x. it would be greatly appreciated if someone could actually explain to me step by step
Answers: 2
question
Mathematics, 21.06.2019 17:00
Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."
Answers: 2
You know the right answer?
Look at the quadrilateral shown below: a quadrilateral abcd is shown with diagonals ac and bd inter...
Questions
question
Mathematics, 07.11.2020 23:20
question
Mathematics, 07.11.2020 23:20
question
Social Studies, 07.11.2020 23:20
Questions on the website: 13722367