a.
To sketch:
Three parallelograms with four congruent sides and then draw the two diagonals for each parallelograms
a.
Answer to Problem 44PPS
Three parallelograms with four congruent sides are drawn as:
Explanation of Solution
Given information:
Name of parallelograms:
Sketch:
Here, draw parallelograms with the name
. Then two diagonals for each parallelograms are drawn as below:
b.
To calculate:
The measure values of the diagonals of each parallelograms in the form of the table
b.
Answer to Problem 44PPS
The measure values of the diagonals of each parallelograms are:
Parallelogram | ||||||
Angle Measure |
Explanation of Solution
Given information:
Calculation:
To measure length of each diagonal of three parallelograms from subpart (a) need to use a protractor as:
Parallelogram | ||||||
Angle | ||||||
Angle Measure |
c.
To explain:
A conjecture about the parallelogram’s diagonal with four congruent sides
c.
Answer to Problem 44PPS
The diagonals of a parallelograms are congruent with four congruent sides are perpendicular.
Explanation of Solution
From the sub-part (a):
Three parallelograms are drwan as:
The lengths are caculated as:
Parallelogram | ||||||
Angle | ||||||
Angle Measure |
The conjecture about the diagonals is:
The diagonals of a parallelograms are congruent with four congruent sides are perpendicular.
Chapter 6 Solutions
Geometry, Student Edition
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