Given:
Give names to the triangles
Aim:
We need to find whether these triangles are congruent.
Explanation:
The lines AE and DC are perbenticular.
[tex]\angle ABC\cong\angle\angle DBE\text{ since perpendicular lines makes right angles.}[/tex]
Recall that the dashes on the lines show they are equal in length.
[tex]BC\cong BD\text{ Since both sides have single dashes.}[/tex]
[tex]AC\cong DE\text{ Since both sides have double dashes.}[/tex]
Two sides and an angle not included between them are respectively equal to two sides and an angle of the other than the two triangles are equal.
[tex]\Delta ABC\cong\Delta DBE\text{ by SSA postulates}[/tex]
Final answer:
The triangles ABC and DBE are congruent.
