ABEKA 11th Grade Plane Geometry Quiz 6

compass and straightedge

Used for constructing

ruler and protractor

Used to test the accuracy of the work

construction of a perpendicular bisector of a line

1. A is the center and the radius greater than one half AB, with arcs drawn over

2. B is the center and same radius, arcs are drawn intersecting the other two at C and D respectively

3. Line is drawn through C and D

4. CD is the required perpendicular bisector

Bisecting an angle

1. O is the center, the sides OA and OB are marked, cutting them at D and C respectively

2. C is the center and the radius is greater than one half the distance CD, with an arc drawn within the angle

3. D is the center and the same radius, an arc is drawn intersecting the last arc at P

4. A straight line is drawn through O and P

5. OP is the required bisector

Constructing an angle equal to a given angle

1. O is the center, arc DC is drawn

2. P is the center and the same radius, arc EF is drawn

3. E is the center and distance DC is the radius, an arc cutting arc EF at K is drawn

4. A line through P and K is drawn

5. Angle EPK is the required angle

Construction of a perpendicular to a given line at a given point

1. P is the center and radius less than PA, arc CD is drawn

2. C is the center and any radius greater than one half of CD, an arc above AB is drawn

3. D is the center and the same radius, an arc intersecting the last arc at E is drawn

4. A line is drawn through E and P

5. EP is the required perpendicular