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Answer:
(In order, top to bottom. )
Definition of a rectangle
opposite sides of a rectangle are congruent
reflexive property of congruence
SAS congruence postulate
Step-by-step explanation:
Parallelogram JKLM is a rectangle and by definition of a rectangle, ∠JML
and ∠KLM are right angles, ∠JML ≅ ∠KLM because, all right angles are
congruent, ≅ because opposite sides of a parallelogram are congruent, and ≅ by reflective property of congruence. By the SAS
congruence postulate, ΔJML ≅ ΔKLM.
congruent parts of congruent triangles are congruent, ≅
The given quadrilateral is a parallelogram, that have interior angles that are right angles, therefore, the figure has the properties of a rectangle, and
parallelograms including the length of opposite sides are equal, all right angles are congruent and equal to 90° and the length of a side is equal to itself by reflexive property, & ≅
The Side-Angle-Side SAS postulate states that if two sides and an included
angle of one triangle are congruent to the corresponding two of sides and
included angle of another triangle, the two triangles are congruent.