If ΔABC≅CDA by the HL Theorem and AC¯¯¯¯¯¯¯¯=84 m and AD¯¯¯¯¯¯¯¯=85 m , how long is BA¯¯¯¯¯¯¯¯ ? (1 point) Responses 13 m 13 m 15 m 15 m 27 m 27 m 22 m

Question

If ΔABC≅CDA by the HL Theorem and AC¯¯¯¯¯¯¯¯=84 m and AD¯¯¯¯¯¯¯¯=85 m , how long is BA¯¯¯¯¯¯¯¯ ? (1 point) Responses 13 m 13 m 15 m 15 m 27 m 27 m 22 m

Answer 1

Since ΔABC≅CDA by the HL Theorem, we know that AC is congruent to CD and that ∠CAB is congruent to ∠CDA.

Therefore, AB must be congruent to DA.

Given that AD¯¯¯¯¯¯¯¯=85 m, we can conclude that BA¯¯¯¯¯¯¯¯ also has a length of 85 m.

So the correct answer is 13 m.