a.
Draw three pairs of
a.
Answer to Problem 42PPS
Explanation of Solution
Given information:
Calculation:
Here, by using a ruler and a compass to congruence three pairs of triangles having two pairs of congruent sides and one pair of non congruent sides.
Now, we have:
Hence, the results are shown in the above figures.
b.
Measure and record the values of
b.
Answer to Problem 42PPS
Explanation of Solution
Given information:
Calculation:
Here, we have to Measure and record the values of
Hence, the results are shown in the above table.
c.
Prepare the conjecture about the relationship between the
c.
Answer to Problem 42PPS
If the two triangles are with two pairs of congruent sides then the angle opposite the longest of the third pair is greater than the angle opposite the shortest of the third pair.
Explanation of Solution
Given information:
Calculation:
Here, we will compare
The angle opposite the longer of the two non congruent sides is greater than the angle opposite the shorter one.
Hence, the conjecture is, if the two triangles are with two pairs of congruent sides then the angle opposite the longest of the third pair is greater than the angle opposite the shortest of the third pair.
Chapter 5 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning