Construction Chapter 6

Consider the beginning of a construction of a square inscribed in circle Q.

Step 1: label point R on circle Q.

Step 2: Draw a diameter through R and Q.

Step 3: Label the point where the diameter intersects the circle as point T.

What is the next step in this construction?

• Draw radius SQ.

• Label point S on circle Q.

• Construct a line segment parallel to RT.

• Construct the perpendicular bisector of RT.

Tags

CCSS.8.G.A.2

Name the pictured construction.

• Circled Hexagon
• Hexagon Inscribed in a Circle
• Square Inscribed in a Circle
• Triangle Inscribed in a Circle

Tags

CCSS.HSG.C.A.2

CCSS.HSG.CO.D.13

Connecting the points where the arcs intersect the circle will finish the construction of what polygon?

• isosceles triangle

• square

• hexagon

• rectangle

Tags

CCSS.6.G.A.3

The steps shown are a part of the construction of which figure?

• square

• rectangle

• equilateral triangle

• regular hexagon

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.CO.D.13

Margot has started a construction and has this drawn on her paper. What is she constructing?

• a square inscribed in a circle

• a hexagon inscribe in a circle

• a pentagon inscribed in a circle

• an equilateral triangle inscribed in a circle

Thomas is constructing an inscribed regular hexagon for the circle shown. Point A will be one vertex of the hexagon. What step should be completed next?

• draw a ray from point P through A

• construct a diameter of the circle

• place a second point on the circle

• set the width of the compass to equal AP

To inscribe a hexagon inside a circle, to which length should you set your compass in order to draw the six vertices?

• The radius

• The diameter

• Half of the radius

• It depends on the size of the circle.

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

Based on the construction, which statement must be true?

• A
• B
• C
• D

Tags

CCSS.HSG.CO.C.9