Question

If m∠ABC = 53° and m∠ECD = 37°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC?


Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.

Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.

Step-by-step explanation:

Generally from the question we are told that

      m∠ABC = 53°

      m∠ECD = 37°

Generally from the diagram we see that  

       m∠BAC = 90°

and

       m∠EDC = 90°

So

     m∠DEC = 90- 37 °

=>   m∠DEC = 53 °

Since   m∠DEC =  m∠ABC  then

Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.

Answer 2

Answer:

The asnwer is A

Step-by-step explanation:

I'm taking the test