1. 1-6 Basic Constructions

2. Straight edge: a ruler with no markings Compass: a geometric tool used to draw circles and parts of circles called arch's Construction: a geometric figure drawn using a straightedge and a compass

3. Problem 1: Constructing Congruent segments
Construct 𝐶𝐷 congruent to 𝐴𝐵 A B

4. Use a straight edge to draw 𝑿𝒀 . Then construct 𝑹𝑺 so that 𝑹𝑺 =𝟐𝑿𝒀

5. Problem 2: Constructing Congruent Angles
Construct <𝑺 so that <𝑺≅ <𝑨 𝑨

6. Construct <𝑭 so that 𝒎<𝑭=𝟐𝒎<𝑩

7. Perpendicular Lines: two lines that intersect to form right angles Perpendicular Bisector: a line, segment, or ray that is perpendicular to the segment at its midpoint

8. Problem 3: Construct the Perpendicular Bisector
Construct the perpendicular bisector to 𝐴𝐵

9. Problem 4: Constructing the Angle Bisector
Construct 𝐴𝐷 , the angle bisector of <𝐴 𝑨

10. Problem 4: Constructing the Angle Bisector
Construct 𝑌𝑃 , the angle bisector of <𝑋𝑌𝑍 𝒀