Geometric Constructions

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.MATH.CONTENT.HSG.CO.D.12

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

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

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

• A
• B
• C
• D

Tags

CCSS.MATH.CONTENT.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.MATH.CONTENT.HSG.CO.D.12

Based on the construction, which statement must be true?

• A
• B
• C
• D

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?

• a line through P parallel to line l
• a line through P intersecting line l
• a line through P congruent to line l
• a line through P perpendicular to line l

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

Based on the construction, which conclusion is not always true?

• A
• B
• C
• D

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

Which of the following constructions is illustrated?

• An angle is congruent to a given angle
• The bisector of a given angle
• The bisector of a given segment
• The perpendicular bisector of a given segment.

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

Name the construction.

• Angle bisector
• Di-sect an angle
• Copy an angle
• Vertical angles

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12

What was duplicated?

• line
• line segment
• ray
• angle

Tags

CCSS.MATH.CONTENT.HSG.CO.D.12