Chapter 4: Q10CE. (page 155)

10. Given: $\vec{N O}$ bisects $∠ N$ .What can you conclude from each of the following additional statements?
a. $P$ lies on $\vec{N O}$
b. The distance from a point $Q$ to each side of $∠ N$ is 13.

Short Answer

Expert verified

a. $P$ is equidistance from each side of $∠ N$
b. lies on $\vec{N O}$

Step by step solution

Part a. Step 1. The meaning of P lies on NO→

$P$ lies on role="math" localid="1649151298117" $\vec{N O}$ means a point on $\vec{N O}$ is named as $∠ N$

Part a. Step 2. Show that NO→ is equidistance from each side of ∠N

When a line divides an angle into two congruent angles then it is equidistance from each side of that angle

So, $\vec{N O}$ is equidistance from each side of $∠ N$

Part a. Step 3. Show that P is equidistance from each side of ∠N

As $P$ lies on $\vec{N O}$

Thus, $P$ is equidistance from each side of $∠ N$

Part b. Step 1. Meaning of “distance from a point Q to each side of ∠N is 13”

$Q$ is equidistance from each side of $∠ N$

Part b. Step 2. Show that line from Q bisect ∠N

When a line is an equidistance from each side of that angle then it divides an angle into two congruent angles

So, a line from $Q$ bisects $∠ N$

Part b. Step 3. Show that Q lies on

As $Q$ and $\vec{N O}$ both bisects $∠ N$

Thus, $Q$ lies on $\vec{N O}$

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10. Given: $\vec{N O}$ bisects $∠ N$ .What can you conclude from each of the following additional statements?
a. $P$ lies on $\vec{N O}$
b. The distance from a point $Q$ to each side of $∠ N$ is 13.

Short Answer

Step by step solution

Part a. Step 1. The meaning of P lies on NO→

Part a. Step 2. Show that NO→ is equidistance from each side of ∠N

Part a. Step 3. Show that P is equidistance from each side of ∠N

Part b. Step 1. Meaning of “distance from a point Q to each side of ∠N is 13”

Part b. Step 2. Show that line from Q bisect ∠N

Part b. Step 3. Show that Q lies on

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10. Given: NO→bisects∠N.What can you conclude from each of the following additional statements?a. Plies on NO→b. The distance from a point Qto each side of ∠Nis 13.

Short Answer

Step by step solution

Part a. Step 1. The meaning of P lies on NO→

Part a. Step 2. Show that NO→ is equidistance from each side of ∠N

Part a. Step 3. Show that P is equidistance from each side of ∠N

Part b. Step 1. Meaning of “distance from a point Q to each side of ∠N is 13”

Part b. Step 2. Show that line from Q bisect ∠N

Part b. Step 3. Show that Q lies on

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Calculus

Applied Mathematics

Geometry

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Pure Maths

Study anywhere. Anytime. Across all devices.

10. Given: $\vec{N O}$ bisects $∠ N$ .What can you conclude from each of the following additional statements?
a. $P$ lies on $\vec{N O}$
b. The distance from a point $Q$ to each side of $∠ N$ is 13.