Maths-
SAT
Easy
Question
Triangle ABC and DEF each have a corresponding angle measuring 40˚. Which additional piece of information is sufficient to determine whether these two triangles are similar?
- The length of line segment AC
- The length of line segment DE
- The measure of another pair of corresponding angles in the two triangles.
- The lengths of one pair of corresponding sides in the two triangles.
The correct answer is: The measure of another pair of corresponding angles in the two triangles.
In 
have corresponding angle measuring 40o
If another set of corresponding angles are equal.
Then by the sum of angles in a triangle is 180o, the other pair will also be equal.
Thus by AAA property, the two triangles will be similar.
Therefore, another set of corresponding angles are equal.
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