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Head First 2D Geometry by Dawn Griffiths, Stray

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finding missing angles
We need a new theory
Although you don’t know what happened, if you can come up with
some imaginative suggestions about what might have happened,
you can test them by working out whether the angles add up, just
like when you proved that Benny couldn’t have shot Micky.
Right. So now’s the time to start
guessing? Maybe some aliens came
down and shot Micky? This is stupid.
It’s not just a matter of guessing.
You can use the statement Benny gave and all the relevant
information on the crime scene sketch to guide you. Our
points, lines, and angles are still as true as ever.
you are here 4 27
Statement by Benny on
release from custody
What I tried to tell them
when I was arrested is that
I don’t even own a gun! But
there was this other guy
there, Charlie, inside the
building. I think he took
a shot at me. I heard a
gunshot and breaking glass
so I ducked. The bullet hit
the car that was parked
behind me—it sped away. I
don’t know how Micky ended
Read over Bennys statement. Using the sketch on the left page,
up shot, but at least you
know it wasn’t me!
about how Micky got shot?
or a blank sheet of paper, can you come up with a new idea
(You can assume it didn’t involve aliens.)
follow the bouncing bullet
Read over Bennys statement. Using the sketch on the left page,
or a blank sheet of paper, can you come up with a new idea about
how Micky got shot?
A new theory: Charlie shot at Benny, breaking the glass in the window, but
missed, hit a parked car, and the bullet bounced off and hit Micky
BULLET
PATH
DOOR
MICKY
BENNY
FOOTPRINTS
BROKEN
GLASS
18º
CRIME SCENE SKETCH
CASE GEO180
(ANGLES AS MEASURED
BUT DRAWING NOT TO
SCALE)
72º
CHARLIE
FOOTPRINTS
28º
158º
TIRE
TRACKS
56º
Statement by Benny on
release from custody
What I tried to tell them
when I was arrested is that
I don’t even own a gun! But
there was this other guy
there, Charlie, inside the
building. I think he took
a shot at me. I heard a
gunshot and breaking glass
so I ducked. The bullet hit
the car that was parked
behind me—it sped away. I
don’t know how Micky ended
up shot, but at least you
know it wasn’t me!
Point where the bullet
bounced off the car that
left the tire tracks
Benny’s statement contains some
references to points and lines,
which are on our sketch.
28 Chapter 1

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