Q:

Drag and drop an answer to each box to correctly complete the proof.Given: Parallelogram JKLM is a rectangle.Prove: JL¯¯¯¯¯≅MK¯¯¯¯¯¯¯

Accepted Solution

A:
Answer:1. all the right angles are congruent2. opposite sides of a parallelogram are congruent3. SAS congruent postulate4. corresponding parts of a congruent triangle are congruentStep-by-step explanation:1. As all the right angles are congruent           ∠JML≅∠KLM≅ ∠90°2. As per the properties of a parallelogram, the opposite sides are congruent.                   Hence the sides JM≅KL3. SAS postulate is defined as Side-Angle-Side postulate. When the side, adjacent angle and the other other adjacent side of two triangle are congruent then the two triangles are said to be congruent. In the given case both the sides JM and ML of ΔJML are congruent to both the sides KL and ML of ΔKLM.                             Hence ΔJML≅ΔKLM4. As proven in part 3, ΔJML≅ΔKLM so the congruent parts of two congruent triangle are congruent.                 In given case the side JL(of ΔJML)≅MK(ΔKLM)!