Question

Drag and drop an answer to each box to correctly complete the proof.

Given: rectangle JKLM

Prove: JL¯¯¯¯¯≅MK¯¯¯¯¯¯¯

Rectangle J K L M with diagonals J L and M K drawn.

Put responses in the correct response input area to answer the question. Select a response, navigate to the desired input area and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
It is given that JKLM
is a rectangle. By the Press enter key to drop response here.Response input area, ∠JML
and ∠KLM
are right angles, and because all right angles are congruent, ∠JML≅∠KLM
. Press enter key to drop response here.Response input area because the opposite sides of a rectangle are congruent, and Press enter key to drop response here.Response input area by the reflexive property of congruence. By the Press enter key to drop response here.Response input area, △JML≅△KLM
. Because corresponding parts of congruent triangles are congruent, JL¯¯¯¯¯≅MK¯¯¯¯¯¯¯
.

Answer 1

Fill-ins (in order):

1) definition of a rectangle
2) JM ≅ KL
3) ML ≅ ML
4) SAS (Side–Angle–Side)