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Which of the following could not be used as the reason in line 3 of the proof? ○ HL○LA○AAS

Which of the following could not be used as the reason in line 3 of the proof? ○ HL-example-1
Which of the following could not be used as the reason in line 3 of the proof? ○ HL-example-1
Which of the following could not be used as the reason in line 3 of the proof? ○ HL-example-2

1 Answer

3 votes

ANSWER

LA

Step-by-step explanation

We have the two triangles given.

We have that:

AC = BD

It is important to note that angles they are vertically opposite angles.

In that case, one of the possible reasons for the proof in line 3 would be AAS which means Angle-Angle-Side theorem (two pairs of angles and one pair of sides in two trianlges are equal) meaning the triangles are congruent.

Another possible reason would be HL which means Hypotenuse Leg postulate that states that if the hypotenuses and another pair of legs of two triangles are equal in length, then they are congruent.

We know the two hypotenuses are equal since we have proven that the triangles are congruent above.

Therefore, the wrong option is LA.

User Adrian Leonhard
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