Geometry 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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CCSS.HSG.CO.D.12

Which of the following shows a construction of a 45^o angle?

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• All of the constructions show a 45^o angle

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CCSS.HSG.CO.D.12

In the construction above CD is drawn. In triangle ABC what is line segment CD?

• Perpendicular bisector of side AB

• Median of side AB

• Altitude of side AB

• Bisector of angle ACB

• Not enough information

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CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

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=ED

• AC=BC

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CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

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

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CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

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

• parallel
• congruent
• similar
• perpendicular

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CCSS.HSG.CO.A.1

CCSS.4.G.A.1

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

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CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

Name the construction.

• Angle bisector
• Perpendicular line to a point not on a line
• Angle median
• Perpendicular bisector of a line segment

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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

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CCSS.HSG.CO.C.9

• 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.