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Given: JKLM is an isosceles trapezoid, KL ∥ JM

Prove: KM ≅ JL

Trapezoid J K L M with diagonals is shown. Sides K L and J M are parallel.

What is the missing reason in step 4?

Statements

Reasons
1. JKLM is an isosceles trapezoid,
KL ∥ JM 1. given
2. JK ≅ LM 2. definition of isosceles trapezoid
3. KL ≅ KL 3. reflexive property
4. ∠JKL ≅ ∠MLK 4. ?
5. △JKL ≅ △MLK 5. SAS ≅ theorem
6. KM ≅ JL 6. CPCTC
definition of linear pair
definition of congruence
base angles theorem
sufficient base angles theorem

Respuesta :

tushargupta0691

Third option Base angles theorem is the correct answer as it contains the information that statement 4 is missing.

About The Base Angle Theorem

The two base angles in an isosceles triangle that are opposite the congruent sides must be identical in measure or congruent, according to the base angle theorem.

As a result, JKL and MLK are the base angles of the recognized isosceles triangle. Thus, the two angles, ∠JKL and ∠MLK are congruent or equal to each other by the means of the base angles theorem, and third option -   base angles theorem - the missing justification for statement 4.

About the other options

  • When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
  • In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.
  • According to the sufficient base angles theorem, if a triangle's sides (such as those of an isosceles triangle) are congruent, then its opposing angles must also be congruent.

Learn more abut the base angles theorem here:

brainly.com/question/25670661

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