QuestionCopy angle ABC onto ray DE to create angle FDE. Draw ray DF, then use compass to create points J and F.
Studdy Solution
STEP 1
Assumptions1. We have an angle ABC that we need to copy onto ray DE to create angle FDE.
. We have a compass and a straightedge (or ruler) to perform the construction.
3. The points A, B, C, D,, F, G, H, and J are all distinct.
4. The rays and arcs are drawn in a plane.
STEP 2
First, we need to set the compass point on B and using a convenient width, draw an arc across the two sides of the angle. This creates the points G and H.
STEP 3
Next, we need to set the compass width to GH. This is done by placing the compass point on G and adjusting the width until it reaches H.
STEP 4
Now, we need to draw ray DF. This is done by placing the straightedge on points D and F and drawing a line.
STEP 5
Keeping the same width as GH, we set the compass point on D and draw a similar arc, creating point J.
STEP 6
Then, we need to set the compass width to GH again. Then, set the compass point on J and draw an arc intersecting the first one, creating point F.
STEP 7
Finally, we need to draw ray J. This is done by placing the straightedge on points J and F and drawing a line.
Now, we have copied angle ABC onto ray DE to create angle FDE.
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