Given: AB ≅ CD and AD ≅ BC
Prove: ABCD is a parallelogram.
Quadrilateral A B C D is sho...
Mathematics, 22.10.2020 19:01 sreyasusanbinu
Given: AB ≅ CD and AD ≅ BC
Prove: ABCD is a parallelogram.
Quadrilateral A B C D is shown. A diagonal is drawn from point A to point C. Sides A B and D C are congruent. Sides A D and B C are congruent.
Statements
Reasons
1. AB ≅ CD;AD ≅ BC 1. given
2. AC ≅ AC 2. reflexive property
3. △ADC ≅ △CBA 3. ?
4. ∠DAC ≅ ∠BCA; ∠ACD ≅ ∠CAB 4. CPCTC
5. ∠DAC and ∠BCA are alt. int. ∠s;
∠ACD and ∠CAB are alt. int. ∠s 5. definition of alternate interior angles
6. AB ∥ CD; AD ∥ BC 6. converse of the alternate interior angles theorem
7. ABCD is a parallelogram 7. definition of parallelogram
What is the missing reason in step 3?
Answers: 3
Mathematics, 21.06.2019 22:30
The party planning committee has to determine the number of tables needed for an upcoming event. if a square table can fit 8 people and a round table can fit 6 people, the equation 150 = 8x + 6y represents the number of each type of table needed for 150 people.
Answers: 1
Mathematics, 21.06.2019 23:10
Consider the following function. which of the following graphs corresponds to the given function? w. x. y. z. a. z b. y c. x d.
Answers: 1
Mathematics, 22.06.2019 00:00
Heather is riding a quadratic function that represents a parabola that touches but does not cross the x-axis at x=-6
Answers: 1
Mathematics, 22.06.2019 01:30
Aresearch study is done to find the average age of all u.s. factory workers. the researchers asked every factory worker in ohio what their birth year is. this research is an example of a census survey convenience sample simple random sample
Answers: 3
Computers and Technology, 25.11.2020 18:00
Mathematics, 25.11.2020 18:00
Social Studies, 25.11.2020 18:00
History, 25.11.2020 18:00
Biology, 25.11.2020 18:00
Mathematics, 25.11.2020 18:00
Mathematics, 25.11.2020 18:10
Mathematics, 25.11.2020 18:10
History, 25.11.2020 18:10
History, 25.11.2020 18:10
Mathematics, 25.11.2020 18:10
Mathematics, 25.11.2020 18:10
Spanish, 25.11.2020 18:10