The towns of Adamsville, Brooksville, and Cartersville want to build a library that is equidistant from the three towns. Describe how to find where they should build the library and then perform this construction. Label the library point L.
I can compare the following: constructing, drawing, and sketching.
I can duplicate a given line segment by construction.
I can construct the sum of the measures (lengths) of two or more given segments.
I can construct the difference of the measures (lengths) of two given segments.
I can construct the multiple of the measure (length) of a given segment.
I can construct a line segment which involves adding, subtracting, and/or multiplying given segments. (Ex. Construct: AB + 2EF – CD. Name your new segment UP.)
By construction, I can duplicate a given angle.
By construction, I can duplicate the sum of two or more given angles.
By construction, I can duplicate the sums of the angles of a triangle.
I can construct an equilateral triangle, given a line segment.
I can construct a quadrilateral, given a line segment or segments.
I can construct a perpendicular bisector, given a line segment.
By constructing perpendicular bisector(s), I can divide a given line segment into halves, fourths, eighths, etc., then use these measurements to construct a new segment which is a fractional part of the original segment.
I can construct a perpendicular bisector, given a point on a line.
I can construct a perpendicular bisector, given a point not on a line.
I can construct a perpendicular bisector, given a line segment extremely close to the edge of a piece of paper.
I can construct the “average” of the sum of the lengths of two or more segments.
I can construct a line segment which involves adding, subtracting, multiplying and/or dividing given segments. (Ex. Construct: 2AB – ½ CD. Name your new segment OX.)
I can construct a square.
I can construct an angle bisector.
By construction, I can construct the midpoint of a given segment.
I can construct a 90 angle.
I can construct a 60 angle.
Using 90 and 60 degree angles, I can describe orally or in writing how to construct angles of many sizes.
KEY
/ 60 / 30 / 15 / 7.5
/ 90 / 45 / 22.5 / 11.25
Using 90 and 60 degree angles, I can construct angles of many sizes.
KEY
/ 60 / 30 / 15 / 7.5
/ 90 / 45 / 22.5 / 11.25
I can construct the median in any given triangle.
I can construct an angle bisector in any given triangle.
I can construct an altitude in any given triangle.
I can construct points of concurrency (incenter, circumcenter, orthocenter, and centroid) of a triangle.
I can match names of constructions with their drawings.