Right triangles ABC and DEF each have a right angle at A and D respectively, with AB = DE = 12. It is also given that AC = 8. Which additional single piece of information, if true, is SUFFICIENT to prove △ABC ≅ △DEF?

Question

Accepted Answer

DF = 8 (this completes SAS: two legs and the included right angle, matching AB=DE and AC=DF with the right angle between them)

Answer

BC = 17 with EF left unmeasured on the second triangle (an equal side pair needs BOTH lengths pinned down, not just one triangle's side)

Answer

The triangles have the same perimeter (equal perimeter does not guarantee congruent corresponding parts)

Answer

The triangles have the same area (equal area does not guarantee congruent corresponding parts)

Right triangles ABC and DEF each have a right angle at A and D respectively, with AB = DE = 12. It is also given that AC = 8. Which additional single piece of information, if true, is SUFFICIENT to prove △ABC ≅ △DEF?

Explanation

准备好开始练习了吗？

More Geometry practice

Right triangles ABC and DEF each have a right angle at A and D respectively, with AB = DE = 12. It is also given that AC = 8. Which additional single piece of information, if true, is SUFFICIENT to prove △ABC ≅ △DEF? ABCDEFAB = DE = 12AC = 8DF = ?

Explanation

准备好开始练习了吗？

More Geometry practice

Right triangles ABC and DEF each have a right angle at A and D respectively, with AB = DE = 12. It is also given that AC = 8. Which additional single piece of information, if true, is SUFFICIENT to prove △ABC ≅ △DEF?