Unit 1, Lesson 6
Construction Techniques 4: Parallel and Perpendicular Lines
Geometry
Practice
Problem 1
Which of the following constructions would help to construct a line passing through point
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Which of the following constructions would help to construct a line passing through point
construction of an equilateral triangle with one side
construction of a hexagon with one side
construction of a perpendicular bisector through
construction of a square with one side
This diagram is a straightedge and compass construction of the bisector of angle
This diagram is a straightedge and compass construction of a line perpendicular to line
Three circles. Two large congruent circles intersect at point E. Smaller circle, center C, in the intersection of two larger circles. Small circle intersects one circle at Point A and the other circle at Point D. Segment A B passes through C and D. Segment E C is drawn.
This diagram is a straightedge and compass construction. Which triangle is equilateral? Explain how you know.
Seven congruent circles, one centered circle with six circles on it. Center points labeled Z, W, and T. Two circles intersect at top point V and two circles intersect at bottom point U. One large equilateral triangle Z V W and one small isosceles triangle S T U formed.
In the construction,
This diagram is a straightedge and compass construction.
Two circles intersect. Large circle center A. Smaller circle center C, goes through center A and intersects larger circle at point B. Point D on smaller circle. Segment A D passes through C. Segments A B, C B, and D B are drawn.
Three congruent, intersecting circles, each pass through the others center at points A, B and C. Circles center A and C intersect at points H and B. Circles center A and B intersect at points D and C. Circles center B and C intersect at points F and A. Segment D H passes through A. Segment D F passes through B, Segment F H passes through C, Segments C D and A B intersect at point E.
Lines
Lines
Lines
Lines
Lines