How do you construct congruent segments, segment bisectors, angles, and angle bisectors using tools such as a compass and straightedge?

Answer and Step-by-step explanation: Congruent segments are lines with the same size and shape. Bisector means divide something in half.

1) Use a straightedge and draw a segment.

2) Measure this line you created.

3) Draw another line with the same measurement than the first one.

4)You have 2 congruent segments.

1) Draw a segment;

2) Find the midpoint of this segment: measure the segment and divide the number by 2;

3) Measure the midpoint from one end. This point will be in the middle of the segment;

4) Draw a point there;

5) Lastly, draw a line passing through the midpoint and intersecting the segment;

1) Using a straightedge, draw two lines connecting one another in only one point;

2) Open the compass with the same openness you draw your two segment;

3) Put the compass needle in the point which connects the 2 lines;

4) Put the pencil of the compass on one of the segment;

5) Draw a curve towards the other line;

6) That's the angle;

1) Follow the same rules to create an angle;

2) After creating an angle, open the compass in any width;

3) With the needle tip on the point where the segments crosses, mark a point on each segment;

4) With any openness of the compass, put the needle point on the point you just created and draw a curve;

5) Do the same as 4 for the other point;

6) Using straightedge, draw a line connecting the point where the segments meet and the point created by 4 and 5;

7) This is an angle bisector;

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step-by-step explanation: