Question

Anastasia wrote the following proof to show that the diagonals of rectangle ABCD are congruent: Anastasia's proof: Statement 1: Rectangle ABCD is given Statement 2: ≅ because opposite sides of a rectangle are congruent Statement 3: ≅ by the reflexive property of congruence Statement 4: Statement 5: Angles BAD and ADC are congruent because all right angles are congruent Statement 6: Triangles BAD and CDA are congruent by SAS Statement 7: ≅ by CPCTC Which statement below completes Anastasia's proof?

Answer 1

Statement 4: Because all the angles of a rectangle are right angle

Step-by-step explanation:

Statement 1: Rectangle ABCD is given

Statement 2: ≅ because opposite sides of a rectangle are congruent

Statement 3: ≅ by the reflexive property of congruence Statement

Statement 4:

Because all the angles of a rectangle are right angle

Statement 5: Angles BAD and ADC are congruent because all right angles are congruent

Statement 6: Triangles BAD and CDA are congruent by SAS Statement

7: ≅ by CPCTC

Missing statement was Statement 4 :

Because all the angles of a rectangle are right angle

Learn more :

TRUE is a rectangle whose diagonals meet at O. find x,if OR =3x+2 ...

https://brainly.in/question/5667130

The diagonals XZ and WY of rectangle XYZW intersect in point M. If l ...

https://brainly.in/question/11762623

Diagonals of a rectangle PQRS are intersecting in point M. If ∠QMR ...

https://brainly.in/question/4562672

Answer 2

Given: The diagonals of Rectangle $ABCD$ are congruent.

           Statement-1: Rectangle $ABCD$ is given.

          Statement-2: ≅because opposite sides of a rectangle are congruent.

           Statement-3: ≅by the reflexive property of congruence.

           Statement-4: Because all right angles are congruent.

           Statement-5: $\angle BAD$ and $\angle ADC$ are congruent.

           Statement-6: $\triangle BAD$ and $\triangle CDA$ are congruent by $SAS$.

           Statement-7: ≅ by $CPCTC$.

To Find:

Step-by-step explanation:

First way to proof the Diagonal of the Rectangle $ABCD$ are congruent then show that $\triangle ABC$≅$\triangle DCB$ or $\triangle BAD$≅$\triangle CDA$ and The Rectangle also a parallelogram if opposite side are congruent then we can say diagonal are congruent.

So, From above explanation we can take three statement.

• Statement-2: ≅because opposite sides of a rectangle are congruent.

• Statement-4: Because all right angles are congruent.

• Statement-6: $\triangle BAD$ and $\triangle CDA$ are congruent by $SAS$.