Figure Recognition Flashcards

A rectangle is divided by two vertical lines into three equal strips. How many rectangles of any size does the figure contain?

Answer: 6

There are 3 single strips, 2 double-strip rectangles, and 1 whole rectangle, giving 3 + 2 + 1 = 6.

A 3-by-3 grid of equal squares is drawn. How many squares of any size are in the figure?

Answer: 14

There are 9 small squares, 4 two-by-two squares, and 1 three-by-three square, totaling 14.

A triangle has two lines drawn from its top vertex to its base, dividing the base into three parts. How many triangles does the figure contain?

Answer: 6

There are 3 single triangles, 2 made of two adjacent pieces, and 1 whole triangle, giving 6.

The target is a square with 2 cm sides. A complex design contains a square with 3 cm sides in the same orientation. Is this a match?

Answer: No, because the size is different

The hidden shape must be exactly the same size as the target, so a larger square does not match.

The target is a square with horizontal and vertical sides. A design contains a same-sized square rotated 45 degrees so it looks like a diamond. Is this a match?

Answer: No, because its orientation has changed

Rotating the shape changes its orientation, so it does not match the target.

In a correct answer, other lines of the design pass through and around the hidden target shape. Does this rule it out?

Answer: No, extra lines may cross or touch the target

The target is deliberately embedded in a design, so extra lines crossing or touching it are expected.

Two equal equilateral triangles overlap to form a six-pointed star. How many triangles of any size can be found?

Answer: 8

Each of the 6 points is a small triangle, and the 2 large triangles add 2 more, giving 8.