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Chapter 10: Q2. (page 377)

Draw any AB炉.

a. Construct XY炉 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炉 and YZ炉.

d. What kind of triangle is 螖XYZ?

Short Answer

Expert verified

The triangle isequilateral.

Step by step solution

01

Step 1. Given information.

Two triangle is given, 螖ABC and 螖XYZ.

02

Step 2. Concept used.

Consider the line AB and draw the line XY炉such that XY=AB.

Consider the X and Y as centre and equal radius to draw an arc.

Consider the intersection point that is named Z and draw XZ炉and YZ炉

such that it form the triangle with all the sides are equal.

03

Step 3. Draw the figure.

In case all the sides are equal then the triangle is equilateral as shown in the Figure

Therefore, the triangle isequilateral as shown in the figure.

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Most popular questions from this chapter

Repeat Exercise 8, but use the ASA method.

A median of a triangle is a segment from a vertex to the _____ of the opposite side.

To find the position of the center of circle respect to XY鈫�.

Describe how you would construct each of the following:

A square whose perimeter equals AC炉 .

Draw any large 螖ABC and construct equilateral triangles on each of the sides as shown.

  1. In each of the three equilateral triangles, construct any two medians and find their point of intersection.
  2. Draw the three segments connecting these three points of intersection.
  3. What appears tobe true about the triangle you drew in part (b)?
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