1.15b -- Construct Congruent Angles
Directions
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
#1 Construct a angle that is the same measure as angel CAB
#2 Construct a angle that is the same measure as angel CAB
#3 Construct a angle that is the same measure as angel CAB
Can the angles congruent even if the segments that create the angle are not the same length?