Construction of inscribed and circumscribed circle

When copying line segment AB using a straight edge and a compass, the compass should be used to:

• Draw an arc above point A
• Measure the length of segment AB
• Draw an arc between point A and point B
• Measure half the length of line segment AB

Tags

CCSS.HSG.CO.D.12

When bisecting an angle, the straightedge should be used to:

• Mark the point M
• Measure the angle AOB
• Copy the angle with an arc
• Connect point M and vertex O

Tags

CCSS.HSG.CO.D.12

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.

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.CO.D.13

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

• A
• B
• C
• D

Tags

CCSS.HSG.CO.D.12

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

Given: angle A
What is the first step in constructing the angle bisector of angle A?

• Draw ray AD
• Draw a line segment connecting points B and C.
• From points B and C, draw equal arcs that intersect at D.
• From point A, draw an arc that intersects the sides of theangle at points B and C.

Tags

CCSS.HSG.CO.D.12

The picture represents a compass and straightedge construction of _________?

• Bisect a line segment
• Copy an angle
• Bisect an angle
• Copy a line segment

Tags

CCSS.HSG.CO.D.12

Which of the following best describes the construction?

• Ray OC trisects angle BOA.
• Ray OC is parallel to ray OA.
• Ray OC is parallel to both rays OA and OB.
• Ray OC bisects angle BOA.

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.D.12

What is the tool being used called?

• Compass
• Circle creator
• Pencil swingy-thing
• Arc maker

Tags

CCSS.HSG.CO.D.12

Name the construction.

• circumscribed triangle

• equilateral triangle inscribed in a circle

• inscribed scalene triangle

• inscribed hexagon

Tags

CCSS.HSG.C.A.2

CCSS.HSG.C.A.3