Question

Point M and N are midpoints of AB and DA respectively.

Complete the following table to prove triangle CDN ≅ triangle CBM
For the last reason choose from: SSS, SAS, or ASA.
*image attached below*

|
Statement | Reason
line DC ≅ _____ | The sides of a square are congruent.
line BM ≅ _____ | They are both half the length of a side of the square.
angle _____ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM | ____________________________________
|

Answer 1

triangle CDN ≅ triangle CBM

Statement | Reason

line DC ≅ __BC___ | The sides of a square are congruent.

line BM ≅ __DN___ | They are both half the length of a side of the square.

angle __D___ ≅ angle B | All the angles of a square are congruent.

triangle CDN ≅ CBM |

by

SAS

Explanation:

Answer 2

triangle CDN ≅ triangle CBM

Statement | Reason
line DC ≅ __BC___ | The sides of a square are congruent.
line BM ≅ __DN___ | They are both half the length of a side of the square.
angle __D___ ≅ angle B | All the angles of a square are congruent.
triangle CDN ≅ CBM |
by
SAS