Question

The figure below shows rhombus ABCD.



The paragraph proof with missing statement proves that the opposite interior angles of the rhombus are congruent

Which statement can be used to fill in the blank space?

Answer 1

The figure is a rhombus which is given. The definition of a rhombus guarantees that and are parallel and that and are parallel. ∡1 + ∡2 = 180 and ∡2 + ∡3 = 180 because they are same side interior angles of two parallel lines cut by a transversal. By the transitive property of equality, __________________________. Using the subtraction property of equality, ∡1 = ∡3. Similarly, ∡2 + ∡3 = 180 and ∡3 + ∡4 = 180 because they are same side interior angles of two parallel lines cut by a transversal. Therefore, using the transitive property of equality, ∡2 + ∡3 = ∡3 + ∡4. Using the subtraction property of equality,
∡2 = ∡4. Since ∡1 = ∡3 and ∡2 = ∡4 by the definition of congruence, these opposite angles are congruent.

Answer 2

@ganeshie8

Answer 3

only one blank space to fill ?

Answer 4

ya. But tis multiply choice

Answer 5

*its

Answer 6

∡1 + ∡2 = ∡2 + ∡3

∡1 = ∡3

∡1 + ∡2 = ∡3 + ∡4

∡1 + ∡2 = 180 and ∡2 + ∡3 = 180

Answer 7

∡1 + ∡2 = 180 and ∡2 + ∡3 = 180
whats transitive property of equality ?

Answer 8

I thought C, but Im not sure

Answer 9

a = b and b = c
=> a = c

Answer 10

∡1 + ∡2 = 180 and ∡2 + ∡3 = 180

=> ∡1 + ∡2 = ∡2 + ∡3

Answer 11

Oh.. I hate proofs.. lol

Answer 12

lol your first guess is right... !(:

Answer 13

thanks.

Answer 14

No problem xD