Question

If △AED and △CED are both right triangles, what triangle congruence could be used to prove that the two triangles are congruent? (photo is attached)

Answer 1

Answer:

LA theorem

Step-by-step explanation:

Consider right triangles AED and CED. In thes triangles:

• $m\angle AED=m\angle CDE=90^{\circ}$ - given;

• $m\angle EAD=m\angle ECD$ - given;
• $ED\cong ED$ by reflexive property.

So,

$\triangle AED\cong CDE$ by LA theorem.

LA theorem states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent