Question

arrange the following steps of construction in the right order so as to construct an angle that is congruent to ∠a. a) join de. b) using a compass, find the length of bc without changing the width, place the compass on e and draw an arc. label the intersection as f. c) ∠fde≅∠bac. d) draw a ray with endpoint d. e) with the compass on a, draw an arc that intersects both sides of the angle. label the intersection points b and c, without changing the width, place compass on d and draw an arc. label intersection e.

Explanation:

Step1: Start with a ray

D. Draw a ray with endpoint D.

Step2: Arc on given angle

E. With the compass on A, draw an arc that intersects both sides of the angle. Label the intersection points B and C.

Step3: Copy arc - width on new ray

Without changing the width, place the compass on D and draw an arc. Label the intersection E.

Step4: Copy the second arc

B. Using a compass, find the length of BC. Without changing the width, place the compass on E and draw an arc. Label the intersection as F.

Step5: Join the points

A. Join DF. And we know ∠FDE≅∠BAC.

Answer:

1. D
2. E
3. Without changing the width, place the compass on D and draw an arc. Label the intersection E.
4. B
5. A