Chapter 6.3, Problem 39PPS

a.

To determine

To sketch:

Three rectangles with varying lengths and width and then draw the two diagonals for each rectangle

Answer to Problem 39PPS

Three rectangles with varying lengths and width are drawn as:

  

Explanation of Solution

Given information:

Name of rectangles: $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ and $\mathrm{M}\mathrm{N}\mathrm{O}\mathrm{P},\mathrm{W}\mathrm{X}\mathrm{Y}\mathrm{Z}$

Sketch:

Here, draw rectangles with the name $\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ and $\mathrm{M}\mathrm{N}\mathrm{O}\mathrm{P},\mathrm{W}\mathrm{X}\mathrm{Y}\mathrm{Z}$

. Then two diagonals for each rectangle are drawn as above:

  

b.

To determine

To calculate:

The measure values of the diagonals of each rectangle in the form of the table

Answer to Problem 39PPS

The width of the copy is $9.2\mathrm{i}\mathrm{n}$

Explanation of Solution

Given information:

  

Calculation:

To measure length of each diagonal of three rectangles from subpart (a) need to use a ruler as:

  

c.

To determine

To explain:

A conjecture about the rectangle’s diagonal

Answer to Problem 39PPS

The diagonals of a rectangle are congruent.

Explanation of Solution

From the sub-part (a):

three rectangke srea drwan as:

  

The lengths are caculated as:

  

The conjecture about the diagonals is:

The diagonals of a rectangle are congruent.