It is given that parallelogram JKLM is a rectangle and by the definition of a rectangle, ∠JML and ∠KLM are right angles. ∠JML≅∠K
LM because . JM⎯⎯⎯⎯⎯≅KL⎯⎯⎯⎯⎯ because , and ML⎯⎯⎯⎯⎯⎯≅ML⎯⎯⎯⎯⎯⎯ by the reflexive property of congruence. By the , △JML≅△KLM . Because , JL⎯⎯⎯⎯≅MK⎯⎯⎯⎯⎯⎯ .
2 answers:
Answer:
- all right angles are congruent.
- opposite sides of a parallelogram are congruent
- SAS congruence postulate
- corresponding parts of congruent triangles are congruent
Step-by-step explanation:
Given : Parallelogram JKLM is a rectangle and by the definition of rectangle, are right angles,
Since all interior angles of rectangle are right angle.
then , because all right angles are congruent.
Also, opposite sides of a parallelogram are congruent.
and by the reflexive property of congruence.
Now, by the SAS congruence postulate,
,
Since corresponding parts of congruent triangles are congruent, ∴
- The SAS postulate says that if two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle then the two triangles are congruent.
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