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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Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

Which image shows the construction of a perpendicular bisector?

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CCSS.HSG.CO.A.1

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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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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.

Tags

CCSS.HSG.CO.C.9

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

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CCSS.HSG.C.A.2

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

• parallel

• congruent

• similar

• perpendicular

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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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

Tags

CCSS.HSG.CO.C.9

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

• Slope

• Midpoint

• Distance