Constructions

A straightedge and compass were used to creat the construction above. Arc EF was drawn from Point B, and arcs with equal radii were drawn from E and F. Choose all of the following that must be true.

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Tags

CCSS.HSG.CO.D.12

Based on the construction above which of the following are always true, choose all that apply.

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• AB=CD

• AE=EB

• CE=BE

• AC=BC

Name the construction.

• Corresponding angles

• Parallel line to a point not on the line

• Perpendicular line to a point not on the line

• Angle bisector

• Alternate Interior Angles

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

Name the construction.

• Angle bisector

• Perpendicular line to a point not on a line

• Perpendicular line to a point on the line

• Perpendicular bisector of a line segment

• Double Fish to create congruent radius values of the concentric circles.

Tags

CCSS.HSG.CO.D.12

Name the construction.

• Midpoint

• Perpendicular through a point on the line

• Perpendicular through a point NOT on the line

• Circumcenter of a right triangle

• Constructing the center of the circle on the y-axis

• A line perpendicular to one of two parallel lines is perpendicular to the other.

• Two lines are perpendicular if they intersect to form congruent adjacent angles.

• When two lines are intersected by a traversal and alternate interior angles are congruent, the lines are parallel.

• When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

• When two lines are intersected by a traversal and same side exterior angles are congruent, the lines are parallel.

Which construction of parallel lines is justified by the theorem "If two lines are cut by a transversal to form congruent alternate interior angles, then the lines are parallel"?

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• Not enough information to prove parallel lines

Tags

CCSS.HSG.CO.C.9

Which of the following is the construction of an equilateral triangle given side AB?

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• Not enough information without labeled side lengths

Tags

CCSS.HSG.CO.D.12

Name the pictured construction.

• Circled Hexagon

• Hexagon Inscribed in a Circle

• Square Inscribed in a Circle

• Triangle Inscribed in a Circle

• Circumscribed Polygon with an Inscribed Circle

The following shows the steps of which construction?

• inscribed triangle

• inscribed hexagon

• circumscribed square

• inscribed square

• circumscribed rhombus