subject
Mathematics, 25.06.2020 01:01 jasminemarie610

a quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labeled as 1, angle BOC is labeled Terra writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: Terra's proof 1. AO = OC because it is given that diagonals bisect each other. 2. BO = OD because it is given that diagonals bisect each other. 3. For triangles AOB and COD, angle 1 is equal to angle 2 as they are _. 4. Therefore, the triangles AOB and COD are congruent by SAS postulate. 5. Similarly, triangles AOD and COB are congruent. 6. By CPCTC, angle ABD is equal to angle BDC and angle ADB is equal to angle DBC. 7. As the alternate interior angles are congruent the opposite sides of quadrilateral ABCD are parallel. 8. Therefore, ABCD is a parallelogram. Which is the missing phrase in Terra's proof? (6 points) Select one: a. alternate interior angles b. corresponding angles c. same-side interior angles d. vertical angles


a quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labele

ansver
Answers: 3

Another question on Mathematics

question
Mathematics, 21.06.2019 13:50
Question and answers are in the attached picture. you so much in advance.
Answers: 3
question
Mathematics, 21.06.2019 16:00
Aswim teacher sells lesson packages. the best deal has the highest ratio of lessons to total cost.swim lesson packagesnumber of lessons total cost$10$4010 1 $8015$80which package is the best deal? l lesson for $105 lessons for $4010 lessons for $8015 lessons for $80mark this and returnsave and exit
Answers: 3
question
Mathematics, 21.06.2019 18:00
Me, prove a quadrilateral with vertices g(1,-1), h(5,1), i(4,3) and j(0,1) is a rectangle using the parallelogram method and a rectangle method.
Answers: 3
question
Mathematics, 21.06.2019 20:40
How is the equation of this circle written in standard form? x2 + y2 - 6x + 14y = 142 a) (x - 3)2 + (y + 7)2 = 200 b) (x+ 3)2 + (y - 7)2 = 200 (x - 6)2 + (y + 14)2 = 142 d) (x+6)2 + (y- 14)2 = 142
Answers: 1
You know the right answer?
a quadrilateral ABCD is shown with diagonals AC and BD intersecting in point O. Angle AOB is labeled...
Questions
question
English, 22.01.2022 03:10
question
Mathematics, 22.01.2022 03:10
question
English, 22.01.2022 03:10
question
Mathematics, 22.01.2022 03:10
Questions on the website: 13722367