Question of the Day

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6/1

Feb
6
2013
306,637 responses
Question of the Day Statistics
Number Answered
Correct 125,424
Incorrect 181,213
40% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

2-16-2013-MRO_CG_5.png

If triangle A B C above is congruent to triangle D E F (not shown), which of the following must be the length of one side of triangle D E F?

Answer Choices

Hint

Remember that if two triangles are congruent, corresponding sides have equal length and corresponding angles have equal measure.

Question of the Day

Can you answer today's question?

Register Next Tests:
6/1

Feb
6
2013
306,637 responses
Question of the Day Statistics
Number Answered
Correct 125,424
Incorrect 181,213
40% correct

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 

2-16-2013-MRO_CG_5.png

If triangle A B C above is congruent to triangle D E F (not shown), which of the following must be the length of one side of triangle D E F?

Answer Choices

Answer

Triangle A B C is congruent to triangle D E F, so the lengths of the three sides of triangle D E F are the same as the lengths of the three sides of triangle A B C. Triangle A B C is a 30 degrees - 60 degrees - 90 degrees triangle with hypotenuse of length 12, so the other two sides of triangle A B C have lengths 6 and 6 times (square root 3). Therefore, the lengths of the sides of triangle D E F must be 12, 6, and 6 times (square root 3). Of the choices given, only 6 times (square root 3) is one of these values.