Geometric constructions 2

Jenny used a compass and a straight edge to make this construction.   Which statement best describes her construction?

• She is constructing a parallel line to PQ.
• She is copying line segment PQ.
• She is constructing the perpendicular bisector to PQ.
• She is constructing an angle bisector.

Tags

CCSS.HSG.CO.D.12

Nate is constructing angle bisector to angle ABC.  Where did he position his compass to create the two arcs that intersect at the interior of the angle?

• He fixed his compass on B and drew both arcs.
• He fixed his compass on points A and C.
• He fixed his compass on points D and E.
• He fixed his compass on points B and E.

Tags

CCSS.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.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

Name the construction.

• isosceles triangle
• equilateral triangle
• bisect an angle
• Circumcenter of an acute triangle

As shown in the diagram below of triangle ABC, a compass is used to find points D and E, equidistant from point A. Next, the compass is used to find point F, equidistant from points D and E. Finally, a straight-edge is used to draw ray AF. Then, point G, the intersection of ray AF and side BC of triangle ABC, is labeled. Which statement must be true?

• Ray AF bisects side BC
• Ray AF bisects <BAC
• Ray AF is perpendicular to BC
• Triangle ABG ~ Triangle ACG

What is being constructed in the figure?

• the perpendicular bisector of line m

• the line perpendicular to line m through a point on the line

• the line parallel to line m through a point NOT on the line

• an angle that has line m as its bisector

Tags

CCSS.HSG.CO.C.9

Name the construction.

• midpoint

• perpendicular through a point on the line

• perpendicular through a point NOT on the line

• Circumcenter of a right triangle

Tags

CCSS.HSG.CO.C.9

To construct an equilateral triangle, all you need is a compass and a straightedge.

• True
• False

Tags

CCSS.HSG.CO.D.12

CCSS.HSG.CO.D.13