Question

What is the correct sequence of steps needed to copy angle ABC onto ray DE to create angle FDE?

a) Place the compass on angle ABC, measure the angle, place the compass on ray DE, and draw the same angle.
b) Place the compass on ray DE, measure the angle, place the compass on angle ABC, and draw the same angle.
c) Place the compass on angle ABC, measure the angle, draw ray DE, and transfer the measured angle.
d) Place the compass on ray DE, measure the angle, draw angle ABC, and transfer the measured angle.

Answer 1

The correct sequence to copy angle ABC onto ray DE to create angle FDE is to use a compass to measure the angle at ABC, transfer the measurement to ray DE, and draw the same angle, resulting in a congruent angle FDE.

Step-by-step explanation:

The correct sequence of steps to copy angle ABC onto ray DE to create angle FDE is to place the compass on angle ABC, measure the angle, place the compass on ray DE, and draw the same angle. This is how you transfer an angle from one location to another using a compass and a straightedge, which is a fundamental skill in geometric constructions.

Here is how you would generally proceed:

1. Place the point of the compass at the vertex of angle ABC and draw an arc that crosses both sides of the angle.
2. Without changing the compass width, replicate the arc on ray DE starting at point D.
3. Measure the distance between the points where the first arc crosses the sides of angle ABC.
4. Adjust the compass to this distance, then draw another arc on ray DE that crosses the first arc you drew.
5. Draw a ray from D through the intersection of the arcs on ray DE. This will create angle FDE, which is congruent to angle ABC.

By following these steps, you effectively copy the size of angle ABC onto ray DE without measuring the degree of the angle with a protractor.