Chapter 1: Q27 (page 20)

Draw an angle, $∠ A O B$ , on a sheet of paper. Fold the paper so that $\bar{O A}$ falls on $\bar{O B}$ . Lay the paper flat and call the fold line $\bar{O K}$ . How is $\bar{O K}$ related to $∠ A O B$ ? Explain.

Short Answer

Expert verified

$\bar{O K}$ acts as a bisector of $∠ A O B$ .

Step by step solution

Step 1. Draw a diagram.

Draw a diagram based on the given instructions.

Step 2. Description of step.

From the figure it can be observed that after folding $∠ A O B$ , line $\bar{O A}$ falls on $\bar{O B}$ and the line folding line is named as $\bar{O K}$ .

Step 3. Description of step.

From the figure it can be observed that $\bar{O K}$ divides $∠ A O B$ into two congruent angles that means; $∠ A O K = ∠ B O K$ . Therefore, $\bar{O K}$ acts as a bisector of $∠ A O B$ .

Therefore, $\bar{O K}$ acts as a bisector of $∠ A O B$ .

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Draw an angle, $∠ A O B$ , on a sheet of paper. Fold the paper so that $\bar{O A}$ falls on $\bar{O B}$ . Lay the paper flat and call the fold line $\bar{O K}$ . How is $\bar{O K}$ related to $∠ A O B$ ? Explain.

Short Answer

Step by step solution

Step 1. Draw a diagram.

Step 2. Description of step.

Step 3. Description of step.

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Draw an angle, ∠AOB, on a sheet of paper. Fold the paper so thatOA¯ falls on OB¯. Lay the paper flat and call the fold line OK¯. How isOK¯ related to ∠AOB? Explain.

Short Answer

Step by step solution

Step 1. Draw a diagram.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Draw an angle, $∠ A O B$ , on a sheet of paper. Fold the paper so that $\bar{O A}$ falls on $\bar{O B}$ . Lay the paper flat and call the fold line $\bar{O K}$ . How is $\bar{O K}$ related to $∠ A O B$ ? Explain.