Congruent Segment Constructions
Follow these steps for congruent segment constructions:
1) Using the SEGMENT TOOL, make a segment CD that is longer than segment AB.
2) Using the COMPASS TOOL, create a circle with radius AB and center point C
3) Using the POINT TOOL, mark the point E at the intersection of circle C and segment CD
4) Using the DISTANCE TOOL, measure the length of segments AB and CE. Are they congruent?
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
Construction #4
CHALLENGE QUESTION
Construct a segment that is TWICE the length as segment AB. Use the DISTANCE TOOL to verify that the length of CF is twice the length of segment AB.