kites have adjacent congruent sides
Geometry Magnets Solution
Rearrange the triangles below to form the same shape as the flower
bed. Then see if you can rearrange them to form a rectangle. What’s
the base of this rectangle? What’s the height? What does this tell you
about how you might find the area of the flower bed?
Hint: you’ll need to flip some of the shapes over to get the rectangle.
The rectangle is
half the height of
the flower bed.
The areas of the two shapes must be the same as they’re
made up of the same triangles. So we can find the area
of the flower bed by finding the area of the rectangle.
So if the shape
of the flower bed
isn’t a parallelogram,
what is it?
256 Chapter 6
Just what it looks like: it’s called a kite.
No crazy geometry jargon here! Like a parallelogram, a kite has four
sides. There’s one big difference though. A parallelogram has opposite
congruent sides, but a kite has two pairs of adjacent congruent sides.
The diagonals of a kite are important, too. A diagonal is a straight line
that connects one corner to the corner opposite. For a kite, these diagonals
are always perpendicular to each other.
hese sides ar
he diagonals of a ki
The rectangle and flower bed have the same width.