Question

1. Examine the two angle bisector constructions. Example 1 B f 2. Example 2 * B G 4. Two students created a list of steps for the following construction. Which student has steps in the correct order and which does not? Explain.

Answer 1

One student has the correct order of steps for the angle bisector construction, while the other does not.

Step-by-step explanation:

In this problem, two students created a list of steps for the angle bisector construction. We need to determine which student has the steps in the correct order. To do this, we can compare the steps provided by each student.

Student 1's steps: Step 1: Draw angle ABC. Step 2: Place the compass at point B and draw an arc that intersects both sides of the angle. Step 3: Without changing the compass, place it on the arc and draw another arc that intersects the first arc. Step 4: Draw a line segment from point B to the intersection of the two arcs. This line bisects the angle ABC.

Student 2's steps: Step 1: Draw angle ABC. Step 2: Pick a random point P on one side of the angle. Step 3: Place the compass at point P and draw an arc that intersects one side of the angle. Step 4: Without changing the compass, place it on the arc and draw another arc that intersects the other side of the angle. Step 5: Draw a line segment from point P to the intersection of the two arcs. This line bisects the angle ABC.

From comparing the steps, we can see that Student 1 has the correct order of steps. They start by drawing the angle, then use the compass to construct the angle bisector.