# Using a compass and straight edge only mark two points A and B. Draw the line #l# through them and find another point C on #l# such that AB = BC?

Draw a line from A extending through B using the straight edge.

Use compass with center B and radius |AB| to draw a circle.

C is the point of intersection of circle and the line (other than point A)

(see image)

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To construct point C such that AB = BC on line l using a compass and straightedge:

- Using the straightedge, draw line AB through points A and B.
- With the compass, set the width to the distance between points A and B.
- Place the compass point at point B and draw an arc intersecting line AB.
- Label the intersection point as C.
- Now, AC = BC = AB, satisfying the condition AB = BC.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A line segment is bisected by a line with the equation # - 3 y + 4 x = 6 #. If one end of the line segment is at #( 3 , 1 )#, where is the other end?
- A triangle has corners A, B, and C located at #(5 ,6 )#, #(3 ,9 )#, and #(1 , 2 )#, respectively. What are the endpoints and length of the altitude going through corner C?
- A triangle has corners at #(8 , 4 )#, ( 4 , 3)#, and #( 6 , 5 )#. What are the endpoints and lengths of the triangle's perpendicular bisectors?
- Construct a regular pentagon using a compass and straight edge? Explain each step
- What is a perpendicular bisector?

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