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Drag and drop a statement or reason to each box to complete the proof.


Given: parallelogram EFGH


Prove: EG¯¯¯¯¯ bisects HF¯¯¯¯¯¯ and HF¯¯¯¯¯¯ bisects EG¯¯¯¯¯ .

Drag and drop a statement or reason to each box to complete the proofGiven parallelogram EFGHProve EG bisects HF and HF bisects EG class=

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Answer:

1. EF≅HG

2. EF║HG

3. Definition of parallelogram

4. when two parallel lines are cut by a transversal, alternate interior angles are congruent

5. EK≅GK

   FK≅HK

Step-by-step explanation:

1. As per the properties of a parallelogram, the opposite sides are congruent.

hence in given parallelogram EFGH the two sides EF≅HG

2. As per the properties of a parallelogram, the opposite sides are parallel.

hence in given parallelogram EFGH the two sides EF║HG

3.  Definition of parallelogram: A quadrilateral is called a parallelogram if two of its opposite sides are parallel.

4. As per the properties of transversal lines, when two parallel lines are cut by a transversal, alternate interior angles are congruent.

5. As proven in given question ΔEKF≅ΔGKH, so as per the CPCTC

                      EK≅GK and FK≅HK

!

Martebi

There are different properties that are ascribed to a shape. The statement or reason to fill each box are;

  • EF≅HG given that the Property of a Parallelogram ( that is If a quadrilateral is a parallelogram, then all  the opposite sides are known to be congruent)

  • EF║HG given that the description or the definition of a Parallelogram, which is a type of quadrilateral is known to have opposite sides been parallel.

  • ∠FEG ≅∠ HGE , ∠EFH ≅FHG  are known to be Alternate Interior Angles Theorem.

  • ΔEKF ≅ Δ GKH are ascribed to  ASA Congruence Postulate.

  • ⁻E K ≅ ⁻K G, and ⁻F K ≅ ⁻K H  given that they are CPCTC.

What is a parallelogram?

A parallelogram is known to be a shape that is said to be composed of four sides. Where the sides opposite each other are regarded as parallel. The Examples of parallelograms are; squares, rhombuses, etc.

Learn more about parallelogram  from

https://brainly.com/question/24291122

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