Constructions Geometry

Which image shows the construction of a perpendicular bisector?

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

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Which of the following constructions is illustrated?

• An angle is congruent to a given angle

• The bisector of a given angle

• equilateral triangle

• The perpendicular bisector of a given segment.

To inscribe a hexagon inside a circle, which length should you set your compass to?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle

• 1
• 2
• 3
• 4

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

• Place the compass point at B

• Place the compass point at C

• Place the straightedge along A and C

• Place the straightedge along C and D

Select the best answer choice.

• A

• B

• C

• D

To inscribe a square inside a circle, first you must draw a diameter anywhere across the circle. What should your next step be?

• Construct a perpendicular bisector

• Draw a second diameter to the circle

• Construct a line tangent to the circle

• Set your compass the length of the radius.

When constructing a line parallel to a given line, you will be

• copying a segment

• bisecting a segment

• copying an angle

• constructing a perpendicular 

Which is the basis for the procedure used in the construction of a line parallel to a given line through a point not on the line?

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Consecutive Interior Angles Theorem