Assessment 121A
6. How many different triangles can be constructed with
toothpicks by connecting the toothpicks only at their
ends if each triangle can contain at most five toothpicks
per side?
13. A group of students on a hiking trip wants to find the
distance
AB
across a pond (see the following figure).
One student suggests choosing any point
C,
connecting
it with
B
, and then finding point
D
such that
∠
DCB
=
ACB
and
DC
=
AC
.
How and why does this help in
finding the distance
AB
?
This method creates two congruent triangles.
ABC is congruent with CBD because of the side
angleside theorem.
The first congruent side is BC (it overlaps, so it must be the same).
The
angle is C. And the other side is DC and AC, which are the same length based on the way you set
up the point C.
Since the triangles are congruent, the distance from B to D is the same as the
distance from A to B.
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View Full DocumentAssessment 123A
9. Given
A
,
B
, and
C
as vertices, use a compass and a straightedge
to construct a parallelogram
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 Spring '11
 Emil
 triangle, following figure, 26 inches, distance ab

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