SOLUTION: The figure below shows square ABCD. Here is the figure - https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geo_4_27_media_1.gif Point M and N are midpoints of AB

Algebra ->  Surface-area -> SOLUTION: The figure below shows square ABCD. Here is the figure - https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geo_4_27_media_1.gif Point M and N are midpoints of AB       Log On


   



Question 1112446: The figure below shows square ABCD.
Here is the figure - https://vallejocity.owschools.com/media/g_geo_ccss_2016/4/img_geo_4_27_media_1.gif
Point M and N are midpoints of AB and DA respectively.
Complete the following table to prove CDN ≅ CBM
For the last reason choose from: SSS, SAS, or ASA.
Statement Reason
DC ≅ _______ The sides of a square are congruent.
BM ≅ _______ They are both half the length of a side of the square.

Angle ? ≅ Angle B All the angles of a square are congruent.
CDN ≅ CBM ___________

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
DC=BC
BM=DN
Angle D=Angle B
I prefer SSS, because the hypotenuses are equal.
But, SAS works, too, because two sides create a right angle