Geometry Constructions and using Midpoint and Distance formulas

Take a guess! Which one is the correct construction for a perpendicular bisector?

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What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

Which image shows the construction of a perpendicular bisector?

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Which of the following shows the construction of an angle bisector?

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Which of these illustrates the construction of a perpendicular line through a given point

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Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

• Eric should have started by putting the compass needle point at the midpoint of the segment AB.

• On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

• Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

• Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

What kind of construction is displayed in this picture?

• A circle inscribed in a hexagon
• A hexagon inscribed in a circle
• A hexagon
• A circle

In the image, line RS is _______ to line JQ.

• parallel

• congruent

• similar

• perpendicular

The drawing shows the arcs used to construct...what?

• a bisector of a given line

• a bisector of a given angle

• a perpendicular of a given line at a point on the line

• an angle congruent to a given angle

Which formula is used to show that segments/sides are parallel or perpendicular?

• Slope

• Midpoint

• Distance