Question

Fill in the blank?

Answer 1

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

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 = 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. (

!.∡1 + ∡2 = ∡3 + ∡4
2.1 + ∡2 = 180 and ∡2 + ∡3 = 180
3.∡1 + ∡2 = ∡2 + ∡3
4.∡1 = ∡3

Answer 2

∡1 = ∡3

Answer 3

Thanks

Answer 4

You're welcome.