Segments and Angle Constructions

Follow these steps for congruent segment constructions:

1) Using the SEGMENT TOOL, make a segment CD of any length[br]2) Using the COMPASS TOOL, create a circle with radius AB and center point C[br]3) Using the POINT TOOL, mark the intersection of circle C and segment CD[br][br][i]REMEMBER: Congruent circles have the same radius. [i][i]The compass tool measures and preserves the radius. [/i][/i]Therefore, the [i]compass tool can be used to draw congruent segments.[/i][/i]

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[br][br]CONSTRUCTION STEPS:[br]1) Use the POINT TOOL to mark point F anywhere on segment AB[br]2) Use the COMPASS TOOL to create a circle with radius AF and center point A[br]3) Mark point G where circle A intersects segment AC[br]4) Use the COMPASS TOOL to create a circle with radius AF and center point D[br]5) Mark point H where circle D intersects the ray[br]6) Use the COMPASS TOOL to create a circle with radius FG and center point H[br]7) Mark point I where circle D and circle H intersect[br]8) Use the SEGMENT TOOL to draw segment DI