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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 9: Q5. (page 330)

Name the tangent of $⊙ o$ .

Short Answer

Expert verified

The tangent is $\bar{L H}$ .

Step by step solution

01

Step 1. Given information.

Figure is given.

02

Step 2. Concept used.

Tangent: It is a line which lies in the same plane as the circle O and intersects the circle at only one point.

03

Step 3. Now find tangent.

Now, it can be observed that the line $\overset{\leftrightarrow}{L H}$ intersects the given circle at exactly one point namely L, so by the above definition, it is a tangent to the given circle.

Therefore, The tangent is $\bar{L H}$ .

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Most popular questions from this chapter

a. Draw a circle. Place points A,B, and C on it in such positions that

\ $[m \overset{⏜}{A B} + m \overset{⏜}{B C} \]$ does not equal

b. Does your example in part (a) contradict Postulate $16$ ?

a. Given: $\bar{W Z}$ is a diameter of $⊙ o; \bar{O X} ∥ \bar{Z Y}$

Prove: $\overset{⏜}{W X} ≅ \overset{⏜}{X Y} .$

(Hint: draw $\overset{⏜}{O Y} .$ )

Plane Z passes through the center of sphere Q.

Explain why $Q R = Q S = Q T$ .
Explain why the intersection of the plane and the sphere is a circle. (The intersection of a sphere with any plane passing through the center of the sphere is called a great circle of the sphere).

Quad. $A B C D$ is circumscribed about a circle. Discover and prove a relationship between $A B + D C$ and $A D + B C .$

See all solutions

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