Chapter 10: Q2. (page 377)

Draw any $\bar{A B}$ .
$(a) .$ Construct $\bar{X Y}$ so that $X Y = A B$ .
$(b) .$ Using $X$ and $Y$ as centers, and a radius equal to $A B,$ draw arcs that intersect. Label the point of intersection $Z$ .
$(c) .$ Draw $\bar{X Z}$ and $\bar{Y Z}$ .
$(d) .$ What kind of triangle is $Δ X Y Z ?$

Short Answer

Expert verified

The triangle isequilateral.

Step by step solution

Step 1. Given information.

Two triangle is given, $Δ A B C$ and $Δ X Y Z$ .

Step 2. Concept used.

Consider the line $A B$ and draw the line $\bar{X Y}$ such that $X Y = A B$ .

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

Consider the intersection point that is named $Z$ and draw $\bar{X Z}$ and $\bar{Y Z}$

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

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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Draw any $\bar{A B}$ .
$(a) .$ Construct $\bar{X Y}$ so that $X Y = A B$ .
$(b) .$ Using $X$ and $Y$ as centers, and a radius equal to $A B,$ draw arcs that intersect. Label the point of intersection $Z$ .
$(c) .$ Draw $\bar{X Z}$ and $\bar{Y Z}$ .
$(d) .$ What kind of triangle is $Δ X Y Z ?$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Draw the figure.

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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?

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Draw the figure.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

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Geometry

Study anywhere. Anytime. Across all devices.

Draw any $\bar{A B}$ .
$(a) .$ Construct $\bar{X Y}$ so that $X Y = A B$ .
$(b) .$ Using $X$ and $Y$ as centers, and a radius equal to $A B,$ draw arcs that intersect. Label the point of intersection $Z$ .
$(c) .$ Draw $\bar{X Z}$ and $\bar{Y Z}$ .
$(d) .$ What kind of triangle is $Δ X Y Z ?$