Concept explainers
a.
To sketch:
Three kites withvarying sides and then draw the diagonals for each kite.
a.
Answer to Problem 45PPS
Three kites with varying sides are drawn as:
Explanation of Solution
Given information:
Name of kites:
Sketch:
Here, draw kites with the name
. Then diagonals for each kite are drawn as below:
b.
To calculate:
The measure values of the diagonals of each kitein the form of the table.
b.
Answer to Problem 45PPS
The measure values of the diagonals of each kite are:
Figure | Distance from | Distance from | ||
Explanation of Solution
Given information:
Calculation:
To measure length of each diagonal of three parallelograms from subpart (a) need to use a protractor as:
Figure | Distance from | Distance from | ||
c.
To explain:
A conjecture about the kite’sdiagonal.
c.
Answer to Problem 45PPS
The shorter diagonals of a kite are bisected by the longer diagonals.
Explanation of Solution
From the sub-part (b):
The length of kite’s diagonal are:
Figure | Distance from | Distance from | ||
Here,
Therefore, the conjecture about the diagonals of the kite is:
The shorter diagonals of a kite are bisected by the longer diagonals.
Chapter 6 Solutions
Geometry, Student Edition
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