Segments and Angle Constructions
Follow these steps for congruent segment constructions:
1) Using the SEGMENT TOOL, make a segment CD of any length
2) Using the COMPASS TOOL, create a circle with radius AB and center point C
3) Using the POINT TOOL, mark the intersection of circle C and segment CD
REMEMBER: Congruent circles have the same radius. The compass tool measures and preserves the radius. Therefore, the compass tool can be used to draw congruent segments.
Construction #1
Construction #2
Construction #3 Construct a segment that is TWICE the length as segment AB
Construction #4 Use the two segments below to construct AB+CD
Follow these steps for congruent angle constructions:
Use the tools provided to construct an angle congruent to the given angle
CONSTRUCTION STEPS:
1) Use the POINT TOOL to mark point F anywhere on segment AB
2) Use the COMPASS TOOL to create a circle with radius AF and center point A
3) Mark point G where circle A intersects segment AC
4) Use the COMPASS TOOL to create a circle with radius AF and center point D
5) Mark point H where circle D intersects the ray
6) Use the COMPASS TOOL to create a circle with radius FG and center point H
7) Mark point I where circle D and circle H intersect
8) Use the SEGMENT TOOL to draw segment DI