D. Extend the side of the new angle through P, given the desired parallelE. Draw an arbitrary arc with center G of the given angle, then with the same compass setting redraw the arc with center G
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Activity 1:
Direction: Construct a diagram based on the given statements from basic constructions of angle, different lines, and segments.
a. The perpendicular bisector of JK is the perpendicular to f that passes through P.
b. Draw an arc with center Y of any radius greater than half of YZ. Repeat this with center Z using the same radius. Note that you have to make sure the two arcs cross.
c. Use the straightedge to draw a line and indicate a point A on the line.
d. Extend the side of the new angle through P. giving the desired parallel.
e. Draw an arbitrary arc with center of the given angle, then with the same compass setting redraw the arc with center G'.
Answer: Refer to the attachment added.
Explanation:
- a. Draw the line JK with a straightedge. Bisect it. Extend its both ends.
- b. Draw the line YZ. Take radius greater than half of YZ. Draw one arc at Y and one arc at Z. Make sure they intersect at P.
- c. Draw the line AB. Draw a point P on it.
- d. Draw the line AB. Draw an angle, one of whose rays is parallel to AB. Extend that parallel ray through P.
- e. Draw the angle AGB. At G, draw an arc. G intersects GB at G' (assumed). Draw an arc at G'.
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