Constructions

Question 1

Copying an Angle

Answer 1

1. Draw an angle to copy (with verticy a, and called angle a)
2. Draw a segment (with endpoint d)
3. Draw an arc with center a, crossing both rays
4. Draw the same arc with center d, crossing where the rays would be
5. Lable the 2 points where a’s arc crossed the rays as b & c
6. Lable the point where c’s arc crosses the segment as e
7. Draw a circle with radius bc (b as the center, c on the circle)
8. Draw the same circle with e as its center
9. Lable the intersection point of step 8 and step 4 as f
10. cry

Question 2

Constructing a Perpendicular Line From a Line, and a Point not on the Line (p)

Answer 2

1. Draw an arc with center p that intersects line m twice
2. Label the intersections a & b
3. Draw the same arc with center a
4. Draw the same arc with center b
5. Label the intersection of a’s arc and b’s arc as q
6. Draw line pq
7. cry

Question 3

Constructing a Perpendicular Bisector

Answer 3

1. Draw a line segment and label the endpoints as a & b
2. Draw an arc with center a
3. Draw the same arc with center b
4. Draw a line connecting the intersection points of a’s arc and b’s arc
5. cry