Question

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?

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, ∡1 + ∡2 = ∡2 + ∡3. Using the subtraction property of equality, ____________________________________. Similarly, ∡2 + ∡3 =

Answer 1

= 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.
A∡1 + ∡2 = ∡3 + ∡4

B ∡1 + ∡2 = 180 and ∡2 + ∡3 = 180

C ∡1 + ∡2 = ∡2 + ∡3

D ∡1 = ∡3

Answer 2

please help i have a 312 min remaining on my bump

Answer 3

640 min wait on bump PLZ HELP !!!!!!!!

Answer 4

∡1 + ∡2 = ∡2 + ∡3. Using the subtraction property of equality,
∡1 = ∡3
(Subtract <2 from both sides to get <1 = <3
____________________________________.


D ∡1 = ∡3 ---> Answer