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Chapter 10: Q21. (page 384)

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 17-24.

A square with diagonals of length b

Short Answer

Expert verified

The figure is,

Step by step solution

01

Step 1. Given information.

A line segment of length b is given.

Consider the following figure,

02

Step 2. First draw the diagonals.

03

Step 3. Now, join the ends of the diagonals to get the sides of square.

Therefore, the square with diagonal length b as shown in the figure above.

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Most popular questions from this chapter

On your paper, draw two angles roughly like those shown. Then for Exercise 11-14 construct an angle having the indicated measure. x-y

Draw any AB¯.

a. Construct XY¯ so that XY=AB.

b. Using X and Y as centers, and a radius equal to AB, draw arcs that intersect. Label the point of intersection Z.

c. Draw XZ¯ and YZ¯.

d. What kind of triangle is ΔXYZ?

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 17-24.

A right triangle with hypotenuse of length a and one leg of length b

These exploratory exercises can be done using a computer with a program that draws and measures geometric figures.

2. a. Draw any acute ▵ABC.Draw the perpendicular bisector of each side of the triangle. They should intersect in one point. Measure the distance from this point of intersection to each of the vertices of the triangle. What do you notice?

b. repeat using an obtuse triangle and a right triangle. Is the same result true for these triangles as well?

c. In a right triangle, the perpendicular bisectors of the sides intersect in what point?

Refer to the diagram in which the medians of a triangle are shown.

If PB=1.9,then AB=?,AP=? .
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