How many triangles are there in the figure, which is a square with both diagonals and the two lines joining the midpoints of its opposite sides? The figure is a square with both diagonals and both lines joining the midpoints of opposite sides.

How many triangles are there in the figure,…

How many triangles are there in the figure, which is a square with both diagonals and the two lines joining…

HardOriginal question

How many triangles are there in the figure, which is a square with both diagonals and the two lines joining the midpoints of its opposite sides?

16Correct answerYour answer18Correct answerYour answer20Correct answerYour answer24Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

Count by size, starting with the smallest pieces.
Smallest triangles: 8. Triangles made of 2 smallest pieces: 4. Triangles made of 4 smallest pieces: 4.
Total $= 8 + 4 + 4 = 16$ .

Worth noting

Counting only the smallest pieces is the usual slip. Go size by size, and for each size check every position in the figure.

Ten questions from Non-verbal Reasoning, at your own pace.

Ten questions from Non-verbal Reasoning, at your own pace.