This preview shows page 1. Sign up to view the full content.
24. Explore:
We are given the measurements of one
side and one angle of each triangle. We need to
determine whether the two triangles are congruent.
Plan:
It is given that
J
w
M
w
>
L
w
M
w
and
/
NJM
>
/
NLM
.By the Reflexive Property,
N
w
M
w
>
N
w
M
w
.
Solve:
We are given information about sideside
angle (SSA). This is not a method to prove two
triangles congruent.
Examine:
Use a compass, protractor, and ruler
to draw a triangle with the given measurements.
For simplicity of measurement, we will use
centimetersinstead of feet, so the measurements
of the construction and those of the kite will be
proportional.
• Draw a segment 2.7 centimeters long.
• At one end, draw an angle of 68°. Extend the
line to exactly 2 centimeters.
• At the other end of the segment, draw a segment
that intersects the 2 centimeter segment at any
place other than either of its endpoints.
Because no information is known about the length
of the segment that determines the triangle, an
infinite number of triangles are possible. It cannot
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Angles

Click to edit the document details